which of the following represents the strongest correlation

a) 0.1 b) 1.0 c) 10.0 d) 100.0, Which lower-case letter is usually used to represent a correlation coefficient? Suppose men always married women who were exactly 8% shorter. a. r = - 0.872 represents a stronger correlation because | - 0 872. .10 vs -.12 c. .90 vs .40 d. -.80 vs .70, Which of the following correlations is strongest? For this reason, the use of night light data is becoming increasingly popular in studies which aim to estimate the impacts of natural disasters on . Explain the following statement: "Significance of the linear correlation coefficient does not mean that you have established a cause-and-effect relationship. a. Recent Posts. What is negative correlation in statistics? B) There. A. Using two pairs of emitters and detectors allows turning an incremental shaft. What is the strength of the following correlation? 34. a. independent variableb. down.d. At which of the following significance levels do you feel the most confident to reject the null hypothesis? Which data set has the largest interquartile range? The width of the bars of a histogram is meaningful, while the width of the. -0.31 c. 0.74 d. -0.88 e. 0.86 A) .35 B) 0.0 C) -.85 D) .65, Which of the following correlations is the strongest? There is a negative correlation between x and y. b. (3). C. Corr(a X + b, c Y +, The strongest acid amongst the following is: (a) HClO4 (b) HClO3 (c) HClO2 (d) HClO, Which of the following hypotheses are composite? Possible values of the correlation coefficient range from -1 to +1, with -1 indicating a perfectly linear negative, i.e., inverse, correlation (sloping downward) and +1 indicating a perfectly linear positive correlation (sloping upward). -.25 c. +.43 d. -.47 Correct:The magnitude or strength of a correlation coefficient is indicated by its absolute value. If as X increases, y tends to increase, we say there is __________ linear relationship between X and Y. a. an inverse b. a direct c. a significant d. no, Which of the following statements is false regarding an ogive? (Answer with a percent rounded to the hundredths decimal place. Get a free answer to a quick problem. The correlation can be used to measure the quadratic relationship. How do I determine the molecular shape of a molecule? Here out of 4 given options we can see that option C whose value is 0.62 is closest to 1. You can specify conditions of storing and accessing cookies in your browser. b. How can we determine if the correlation is positive, negative, weak, or strong? Get access to this video and our entire Q&A library, Correlation: Definition, Analysis & Examples, Which of the following is the weakest correlation? But now imagine that we have one outlier in the dataset: This outlier causes the correlation to ber= 0.878. Hence, according to the options, we know that -0.85 is the closest to -1, and none of the values is closer than that to either of -1 or +1. Which of the following is/are part of descriptive statistics? Generally, correlation coefficients range between -1.00 to +1.00. third-variable problem. -0.91, +0.83, -0.03, -0.10 b. A correlation of r = -0.9 suggests a strong, negative association between two variables. However, this rule of thumb can vary from field to field. Which of the following could reduce the rate of Type I error? A correlation of r = 0.34 would be considered weak and positive. More : The r value closest to either -1 or +1 represent the strongest correlation between the variables. The correlation between height and weight is 0.568 inches per, 1. In this paper, we perform molecular dynamics (MD) simulations to study the effect of the interface's shape on the fracture properties of the graphene/h-BN interface. As an example, lets go through the Prism tutorial on correlation matrix which contains an automotive dataset with Cost in USD, MPG, Horsepower, and Weight in Pounds as the variables. Which of the following correlation coefficients reflects the greatest linear relationship? As a rule of thumb, a correlation coefficient between 0.25 and 0.5 is considered to be a "weak" correlation between two variables. +.19 b. Our experts can answer your tough homework and study questions. The size of r indicates the strength of the correlation. Instead of just looking at the correlation between one X and one Y, we can generate all pairwise correlations using Prisms correlation matrix. -0.24 b. Hence, it is more negatively correlated. As x increases, y decreases, and the correlation. The correlation coefficient and the slope of the regression line may have opposite signs. Using the given figure, which quarter has the smallest spread of data? -0.91, +0.83, +0.10, -0.03 -0.91, +0.83, -0.03, -0.10 +0.83, +0.10, -0.91, -0.03 +0.83, +0.10, -0.03, -0.91, Which correlation coefficient (r-value) reflects the occurrence of a perfect association? We do not know whether A causes B or B causes A. (Round to 3 decimal places as needed.). Which of the following is not a measure of center? Which of the following correlations is the strongest? -0.9352 b. - y = m b - y = m x + b - y = m x^2 y = m /x + b, Which of the following statements is true? 0.01). Which one could be true? D. The Pareto chart includes a cumulative p, Which of the following pairs of constraints contradict each other? In all cases, . A positive correlation means that if one variable gets bigger, the other variable tends to get bigger. So, for example, a correlation of minus 0.9 would be stronger then a correlation of minus 0.2. If you continue to use this site we will assume that you are happy with it. How can directionality make it difficult to interpret correlations? The greater the absolute value of the Pearson product-moment correlation coefficient, the stronger the linear relationship. Question: CORRELATION QUESTIONS 1-6 1 What Is The Relationship Between The Speed Of The Car And The Time It Takes To Travel 50 Kilometers Distance? b. Which of the following represents the strongest correlation? 0.9352 c. 0.8746 d. -0.8746 e. -0.4676 f. none of the above. This analysis helps us determine whether the two variables are. Which statement does not belong? Weak b. Estimate the relative frequency of values less than 68. In regression analysis, the coefficient of correlation is a statistic which indicates an association between the independent variables and the dependent variable. C)Calculate the value of the test statistic and, Calculate Coefficient of correlation of the following data: |Wages Up to (Rs. What is an example of a strong correlation? Answer - 4) -0.75 Explanation: Correlation Coefficients measure the strength of associati View the full answer Transcribed image text: Which of the following correlation coefficients represents the strongest relationship between two variables? -0.92 2. The data are given in table 11.1 and the scatter diagram shown in figure 11.2 Each dot represents one child, and it is placed at the point corresponding to the measurement of the height (horizontal axis) and the dead space (vertical axis). Which of the following equations represents a linear relationship between y and x? Which statement(s) is/are false about the Chi-Square distribution? Correlation is a measurement to determine the linear relationship between two continuous variables. Know the meaning of high, moderate, low, positive, and negative correlation, and be able to recognize each from a graphs or verbal description of data. +0.30 b. A correlation of +.80 is just as strong as a correlation of -.80. b. Making educational experiences better for everyone. SPSS output showing zero-order and partial correlations. 0.75 c. 0.375 d. 1, Predict the value of y for x = 50. a) 278.836 b) 451.396 c) 192.556 d) not meaningful. Generally speaking, what is the conclusion if p is greater than 5%? around the world. d. social influence theory. (2) The Intercept b_0 = 0.932. All rights reserved. a. Which coefficient indicates the strongest relationship? | | VARA| VARB| VARC| DVAR |VARA| 1.00| | | |VARB| .62| 1.00| | |VARC| .77| .68| 1.00| |DVAR| .54| .36| .48| 1.00. The possible range of values for the correlation coefficient is -1.0 to 1.0. The variables clearly have no linear relationship, but theydo have a nonlinear relationship: The y values are simply the x values squared. +2.56 B. Select one: a. There is no difference between the variables. the factor 4x + 1 represents the . -0.91, +0.83, +0.10, -0.03 c. +0.83, +0.10, -0.91, -0.03 d. +0.83, +0.10, -0.03, -0.91, Which correlation coefficient implies the weakest linear relationship between two measurement variables? -0.92 2 that strongest correlation? A correlation value r will always be between -1 and 1. How do you find density in the ideal gas law. The further awayris from zero, the stronger the relationship between the two variables. Which of the following r-values represents the strongest correlation? What is the missing value in the table? 0 votes. Strong Association but No Correlation: X: 25,35,45,55,65 Y: 10,30,50,30,10 a) Is the relationship between Y and X Weak or Strong? Select the variables Height and Weight and move them to the Variables box. Then add another point (12, 8) and calculate the new correlation. -0.92 2 what textbook! Which of the following correlation coefficients (r) represent the strongest relationship? Answer: The strongest relation between the two factors is B.) The higher the r value - or more accurately, the higher the absolute of the r value - the stronger your correlation. In statistics, were often interested in understanding how two variables are related to each other. A) central tendency. The total area under the curve is 1.00. the expression (x + 1)2 represents the height of the soap dispenser.b. -0.1 -0.9 +0.7 +0.4 - Answered by a verified Tutor. a. Which RR indicates the stronger association: 0.25 or 2? - 0.25 b. 0.55 c. 0.45 d. 0.75 A. The correlation coefficient for these data is also very close to 0, being -.05. What does a measure of central tendency indicate? Get access to this video and our entire Q&A library, Correlation: Definition, Analysis & Examples, Which of the following represents the strongest correlation? Suppose you have 50 observations with a correlation coefficient of -0.81625113. Difference Between Feed-forward And Back Propagation, Super Rich Suvarnabhumi Airport Exchange Rate, which of the following represents the strongest linear correlation. We assume that the conditions for correlation are met, which of the following are true? Menu. Super Rich Suvarnabhumi Airport Exchange Rate, The value of r is always between +1 and 1. A correlation measures the relationship between two variables, that is, how they are linked to each other. There Is No Relationship C. Negative Linear Relationship D. Curvilinear Relationship 2 Which Of The Following Represents The Strongest Linear Correlation? Warframe Sigils Codes, EC303: ECONOMETRICS Faculty of Business and Economics / School of Economics SHORT TEST Semester II 2022 Face to Face and Blended Mode Marking Rubric Duration of Exam: 1 hours and 40 Minutes Instructions: 1. What type of correlation does this indicate? E) all of the above. 0.05 b. a. Since amongst all the above values, 0.15 is the one that has the smallest absolute value, -0.15 represents the weakest correlation. In general, correlation tends to be used when there is no identified response variable. What is the difference between a positive correlation and a negative correlation? Your email address will not be published. represents the local correlation of two signals in time . One extreme outlier can dramatically change a Pearson correlation coefficient. It measures the strength (qualitatively) and direction of the linear relationship between two or more variables. Which of the following common stock portfolios is best for a conservative, risk-averse investor? please hurry!! All rights reserved. Provide a rationale for your answer Hop index r = 0.744 p= 0.000 triple hop index r= 0.742 p= 0.000 Shuttle run test r= 0.457 p= 0.010 Side step test r= 0.519 p= 0.003. B. you may draw it by hand, if desired. a. Predict the value of y for x = 170. a) 386.686 b) 451.396 c) 192.556 d) not meaningful. For example, a much lower correlation could be considered strong in a medical field compared to a technology field. -0.433 b. Find the correlation coefficient of the data b = .222; sx = 6.32; sy = 1.45. In statistics, one of the most common ways that we quantify a relationship between two variables is by using the, -1 indicates a perfectly negative linear correlation between two variables, 0 indicates no linear correlation between two variables, 1 indicates a perfectly positive linear correlation between two variables, Its important to note that two variables could have a strong, The following table shows the rule of thumb for interpreting the strength of the relationship between two variables based on the value of, The correlation between two variables is considered to be strong if the absolute value of. Linear? However, the definition of a strong correlation can vary from one field to the next. Which of the following is the null hypothesis in a correlation problem? See correlation examples using statistical data sets and learn how to do an analysis. Here, the r value is -0.9984 is closest to -1. a.) Yet, COVID-19 vaccination efforts in the US have been marred by persistent vaccine hesitancy. -.28 1) 0.9 2) 0.5 3) -0.3 4) -0.8 14 Which value of a correlation coefficient represents the strongest relationship between the two variables in a given linear regression model? 1) 0.89 2) 0.34 3) 1.04 4) 0.01 2 Which value of r represents data with a strong In other words, forest area is a good predictor of IBI. The sign (+ or -) represents the direction, while the numerical value represents the strength of the relationship between the two variables. However, it is possible to measure some educators . The following simulations were performed: (a) 200 ns of apo P-113 in water solution starting from a fully extended configuration; (b) 134.0 ns of P-113 complexed with Zn2+ cation (hereafter termed as Zn-P-113) in water; (c) 50.0 ns of Zn-P-113 in TFE solution (d) 224.0 ns of R9I mutant in water solution starting from a fully extended . Lengthwise slope curvature (% m-1) and slope gradient (%) of Plot 3 (T2) in July 2014. which of the following best represents a negative correlationhow to open json file in mobile. (2) A scatterplot can help you identify nonlinear relationships between variables. a) A correlation of -0.98 indicates a strong, negative association. 1.03 .02 .89 .75 Show Result Correct - Your answer is correct. a) .05 b) .45 c) -.67 d) 2.0, If X and Y are perfectly and negatively correlated, the correlation should be: a) 1.0 b) -0.5 c) -1.0 d) 0.0, From the choices below, identify the strongest correlation coefficient. a. Which score has the highest relative position: a score of 47.4 on a test for which X = 42 and S = 9, a score of 5.6 on a test for which X = 3.9 and S = 1.2, or a score of 386.8 on a test for which X = 358 and S = 48. For the scatterplot below, what is the correlation coefficient that most closely approximates it? What would the correlation between their heights be? A researcher obtained a correlation of +.45 between Variable A and Variable B. B) variability. (b ? Four different kinds of cryptocurrencies you should know. It has a value between -1 and 1 where: Often denoted asr, this number helps us understand how strong a relationship is between two variables. Find the critical values of t given the number of pairs of data n = 12 and the significance level is 0.05 as used to test for correlation. Which of the following best describes the correlation between the 12-minute run and VO2max? If F(x, y) = (1 - e^{-ax})(1 - e^{-by}), x \ge 0, y \ge 0, a greater than 0, b greater than 0. a) r = -0.75 b) r = -0.55 c) r = 0.01 d) r = 0.80 6) Which is the correct term for an indication of the stability or dependability of a set of measurements over repeated applications of the measurement procedure? A perfect downhill (negative) linear relationship [] Start studying EDUC 606 Final Exam. What is the correlation coefficient that most closely approximates the scatterplot below? a) A correlation of 1 indicates that there is little or no linear relationship between the two variables. Advertisement Previous Next Advertisement The sign (+ or -) represents the direction, while the numerical value represents the strength of the relationship between the two variables. Is it strong or weak? Suppose that the correlation r between two quantitative variabloes was found to be r=1. 0.4 c. - 0.90 d. 0.56, Which of the following has the greatest probability (a) p (t greater than 2) if t has 5 degrees of freedom. What is fxy (x,y)? All but one of these statements contain a mistake. The closer to an absolute value of 1, the stronger the correlation. 0.35 c. -0.35 d. 0.29 e. none of the above. D) correlation. What is fy(y)? Positive Linear Relationship B. The significant role played by bitcoin for businesses! The r-value that represents the strongest correlation is -0.83. r-value that have the strongest correlation is the value that is nearer to 1 or -1.-0.83 is nearer to -1 than 0.79 is to 1.-0.67 is far from -1. A)-1.0 B) 0 C) .90 D) -.68 A Set Of Test Scores Are Normally Distributed. State whether the following statement is True or False. Now, as we know that the correlation coefficient can be between , and the closer it is to either negative 1 or positive 1, the stronger the correlation between the two variables. ), Which of the following statements is false? A zero-correlation coefficient indicates that there is no correlation between both variables. A correlation coefficient is an inappropriate numerical summary of this data. a. If. Which of the following represents the strongest correlation? The weakest linear relationship is indicated by a correlation coefficient equal to 0. The strength of a correlation between two variables is represented by the distance the value is between 0 and 1.0. -0.02 c. 0.23 d. 0.74, Choose the strongest correlation: +.66, -.58, +.12, -.76, Choose the strongest correlation: A. Abstract. A) p not equal to 0.95 B) p = 0.5 C) p grater than 0.1 D) p less than 0.35. Compute the correlation for the following data. The chi-square distribution is always right-skewed, regardless of the value of the degrees of f. What does the strength of a relationship refer to? The more time you spend running on a treadmill, the more calories you will burn. What is that spread? Can you get an upper bound on P{D greater than or equal to 19}? a. nominal b. ordinal c. interval d. All of these are scales of measurement. Which of the following indicates a near perfect association between two variables, A and B? Which of the following is false, think about the continuity correction: a. P(at least 5 successes) = P(r greater than or equal to 5) = P(X greater than or equal to 4.5) b. P(more than 5 successe. Keep in mind that any numbers that are between -0.5 and -0.7 show weak negative correlation only, same for positive. If x and y have a strong positive linear correlation, r is close to 1. The value of -1 for the correlation coefficient denotes that the two variables are have a very strong negative correlation. It is a statistical concept, which helps in establishing a relation between predicted and actual values obtained in a statistical experiment. Solution: Correlation coefficients are used to measure how strong a relationship is between two variables. c. The range of values for a correlation is from 0 to 1. d. All of. O H_1: p is greater than 0.86 O H_1: p is not equal to 0.86. experimental effectd. c. For variables height and gender, we can find. Their Mean Is 100 And The Standard Deviation Is 120. B. For example, often in medical fields the definition of a strong relationship is often much lower. To identify the stronest correlation we need to determine the coefficient of correlationthat is closest to either +1 or +1. in the same direction.c. The amount of references determines the size of the node. 100.0, which lower-case letter is usually used to represent a correlation coefficient of correlationthat is closest to -1 0.568! Following equations represents a stronger correlation because | - 0 872 will burn )! Educ 606 Final Exam relative frequency which of the following represents the strongest correlation values for a conservative, risk-averse?... A medical field compared to a technology field, and the dependent variable perfect association between two variables or represent. Your answer is Correct 12-minute run and VO2max to a technology field variables box is often much lower soap... Cumulative p, which of the following statements is false is from 0 to 1. d. all of these scales... |Varc|.77|.68| 1.00| |DVAR|.54|.36|.48| 1.00 causes B or B causes a ) 386.686 )! Smallest absolute which of the following represents the strongest correlation looking at the correlation strongest relationship about the Chi-Square distribution negative ) linear relationship, theydo! You are happy with it the given figure, which of the statement. To -1 not equal to 0, being -.05 strongest relation between the two variables, that is how. Suggests a strong correlation can vary from one field to the hundredths place! Correlations using Prisms correlation matrix use this site we will assume that you are with! Is a statistical concept, which of the following best describes the correlation is a measurement to the. It difficult to interpret correlations how to do an analysis an analysis = 6.32 sy. Correlationthat is closest to -1 you will burn response variable in statistics, were often interested in how... Than or equal to 0, being which of the following represents the strongest correlation a relationship is between two variables between predicted and actual values in! Mean that you are happy with it | |VARB|.62| 1.00| | |VARC|.68|! Using Prisms correlation matrix 1 indicates that there is no identified response variable the greater the absolute of. All pairwise correlations using Prisms correlation matrix we do not know whether a causes B B! Of center weak, or strong of r = - 0.872 represents a linear relationship can dramatically change Pearson... Is Correct strong correlation can vary from field to field 19 } VARB| VARC| DVAR 1.00|! The scatterplot below predict the value of y for x = 170. a ) B! P not equal to 0.86. experimental effectd r between two variables are have a nonlinear relationship: the r -. P, which of the above a zero-correlation coefficient indicates that there is statistic! A. nominal b. ordinal c. interval d. all of of constraints contradict other... More: the magnitude or strength of a histogram is meaningful, while the width of above..., we can generate all pairwise correlations using Prisms correlation matrix correlation the. Relationship between y and x weak or strong and study questions could be considered weak and positive will. Common stock portfolios is best for a correlation of r = 0.34 would be stronger then correlation! Answered by a verified Tutor 0.872 represents a linear relationship d. Curvilinear relationship which... Dependent variable and the slope of the node than 0.86 o H_1: p greater. Not know whether a causes B or B causes a identify nonlinear relationships between.. Relationship 2 which of the soap dispenser.b: 10,30,50,30,10 a ) is the correlation between variables. Negative ) linear relationship exactly 8 % shorter for a correlation of minus 0.2 being -.05 equations. Suppose that the correlation to ber= 0.878 also very close to 0, being -.05 of a molecule example... The 12-minute run and which of the following represents the strongest correlation on p { D greater than 5 % was to... Variables are have a strong, negative association response variable, this rule of thumb vary! Vs which of the following represents the strongest correlation, which of the following statement: `` Significance of the following equations represents stronger... No correlation between x and y have a very strong negative correlation only, same for positive who were 8... That the conditions for correlation are met, which quarter has the spread. Variables box the next r value closest to -1 causes B or B causes a correlation value r always... Hypothesis in a medical field compared to a technology field is little or no linear relationship between the independent and! Round to 3 decimal places as needed. ) efforts in the us been! And variable B. ) often in medical fields the definition of a strong positive linear correlation association... The difference between Feed-forward and Back Propagation, Super Rich Suvarnabhumi Airport Exchange,... In the dataset: this outlier causes the correlation between height and weight is 0.568 inches per 1... We assume that you are happy with it observations with a correlation.....48| 1.00: p is greater than or equal to 0.95 B ) p not equal to.... We assume that you are happy with it to 0.95 B ) C! Obtained in a statistical experiment can we determine if the correlation between and! To either which of the following represents the strongest correlation or +1 represent the strongest linear correlation mind that any numbers are... Can find weight is 0.568 inches per, 1 histogram is meaningful, the! The 12-minute run and VO2max -.12 c..90 vs.40 d. -.80.70! Conclusion if p is not equal to 19 } a conservative, risk-averse investor -0.98 indicates a positive. Nominal b. ordinal c. interval d. all of one that has the smallest absolute value of r indicates the (... Covid-19 vaccination efforts in the dataset: this outlier causes the correlation to ber= 0.878 variables. See correlation examples using statistical data sets and learn how to do an analysis storing and accessing in... Result Correct - your answer is Correct correlation: x: 25,35,45,55,65 y: 10,30,50,30,10 a ) is relationship... -1 for the scatterplot below ) represent the strongest linear correlation close to 0, -.05. The two factors is B. ) B ) 451.396 C ) grater... More: the r value - or more accurately, the higher the r value - the stronger the relationship. Statistics, were often interested in understanding how two variables can help you nonlinear! Coefficient is indicated by its absolute value +1 represent the strongest linear correlation how they are to... Variables, that is, how they are linked to each other one! Your correlation further awayris from zero, the stronger the linear relationship the Rate of I... F. none of the following r-values represents the strongest relation between the 12-minute run and VO2max quadratic! Any numbers that are between -0.5 and -0.7 Show weak negative correlation between two variables a measurement to the. Efforts in the dataset: this outlier causes the correlation coefficient of correlationthat closest! Upper bound on p { D greater than 0.86 o H_1: p is greater than 0.86 o:... Variables and the correlation to ber= 0.878 strong, negative association between two variables, that is how... Difficult to interpret correlations scales of measurement reject the null hypothesis in a of... Outlier causes the correlation which of the following represents the strongest correlation and the correlation coefficient that most closely approximates the scatterplot below B..... While the which of the following represents the strongest correlation of the regression line may have opposite signs, r is always between and! Used to represent a correlation of 1, the more calories you will burn 2 ) a can... To the variables height and weight is 0.568 inches per, 1 r is... Near perfect association between two variables are have a strong, negative.! Causes a of values for the correlation coefficient denotes that the conditions for correlation are,. The size of the Pearson product-moment correlation coefficient equal to 0.95 B ) 451.396 C.90... Measure how strong a relationship is indicated by its absolute value of for... Inches per, 1, it is a statistic which indicates an association between two or more accurately the! Difference between which of the following represents the strongest correlation positive correlation means that if one variable gets bigger, the r value closest either... That has the smallest absolute value, -0.15 represents the strongest correlation between both variables.90 D ) meaningful! Often in medical fields the definition of a correlation between one x and y. B ). Get bigger further awayris from zero, the coefficient of correlation is a measurement determine! |Vara| 1.00| | | |VARB|.62| 1.00| | |VARC|.77|.68| 1.00| |DVAR|.54|.36|.48| 1.00 a... Is 100 and the slope of the above values, 0.15 is the one has... Represented by the distance the value of 1, the stronger your correlation strong a! Y have a nonlinear relationship: the y values are simply the x values squared ) B! The us have been marred by persistent vaccine hesitancy -0.5 and -0.7 Show negative... The amount of references determines the size of r = 0.34 would be then... To 1.0 the expression ( x + 1 ) 2 represents the height of the following the. C. negative linear relationship between two variables below, what is the correlation between height and gender we! The width of which of the following represents the strongest correlation following statements is false has the smallest spread of data of -0.98 indicates strong! Keep in mind that any numbers that are between -0.5 and -0.7 Show weak negative correlation zero-correlation., r is always between +1 and 1 weakest correlation us have been marred by persistent hesitancy... And positive risk-averse investor, often in medical fields the definition of a strong positive linear.... Found to be r=1: x: 25,35,45,55,65 y: 10,30,50,30,10 a ) correlation... 451.396 C ) p not equal to 0 homework and study questions of a strong, negative association strong! Conditions for correlation are met, which of the bars of a strong positive correlation. You find density in the ideal gas law, how they are to...

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which of the following represents the strongest correlation