The table shows the heights (in inches) and weights (in pounds) of 14 college men. The scatterplot shows that the association is linear enough to proceed.

a. Find the equation for the regression line with weight (in pounds) as the response and height (in inches) as the predictor. Report the slope and intercept of the regression line, and explain what they show. If the intercept is not appropriate to report, explain why.
b. Find the correlation between weight (in pounds) and height (in inches).
c. Find the coefficient of determination and interpret it.
d. If you changed each height to centimeters by multiplying heights in inches by 2.54, what would the new correlation be? Explain.
e. Find the equation with weight (in pounds) as the response and height (in cm) as the predictor, and interpret the slope.
f. Summarize what you found: Does changing units change the correlation? Does changing units change the regression equation?

Transcribed Image Text:

Height (inches) (pounds) Weight Height Weight (inches) (pounds) 205 168 230 190 185 190 165 200 175 210 205 185 200 195 68 70 69 72 72 72 71 73 68 68 67 69 68 230 220 E 210 200 兰190 180 170 160 67 68 69 70 71 72 73 74 Height (inches)