The correlation between Height and Weight as measured on 110 people is rs0.80. E

Question

The correlation between Height and Weight as measured on 110 people is rs0.80. Explain whether or not each of the following possible condusions is ustified a) When Height increases, Weight increases as well. b) The form of the relationship between Height and Weight is straight c) There are no outliers in the scatterplot of Weight vs. Height d) If we measure Height in meters instead of feet, the correlation will increase. a) Is this conclusion justified? Explain. O A. Yes, because the correlation coefficient between Height and Weight is negative. O B. No, because the correlation coefficient between Height and Weight is negative. ° C. Yes, because the correlation coefficient between Height and Weight is positive. O D. No, because this cannot be concluded from the correlation alone. There may be a nonlinear relationship or outliers O E. No, because the correlation coefficient between Height and Weight is posilive. b) Is this conclusion justified? Explain. A 0 B. O C. No, because the form of the relationship cannot be determined from the correlation. Yes, because the absolute value of the correlation coeficient is equal to 1 No, because the absolute value of the correlation coefficient is not equal to 1 D. Yes, because the correlation coefficent is dose to 1. O E. No, because the correlation coefficient is not equal to O c) ls this conclusion justified? Explain. Yes, because the correlation coefficient is close to 1 A. B. Yes, because the sample size is large Click to select your answer TH

Explanation / Answer

a)

Note that r = 0.80 is positive. Hence, it is

OPTION C. [ANSWER]

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b)

The correlation coefficient does not describe the relationship's shape unless it is exactly -1 or 1. Hence,

OPTION A. [ANSWER]

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c)

r cannot be used to determine outliers, unless it is exactly -1 or 1 (in that case, there are no outliers).

Hence,

OPTION C. [ANSWER]

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d)

correlation is unaffected by conversion. Hence,

OPTIOM C. [ANSWER]

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