Heights and Weights of Men
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.
|
Height (inches)
|
Weight (pounds)
|
|
68
|
205
|
|
68
|
168
|
|
74
|
230
|
|
68
|
190
|
|
67
|
185
|
|
69
|
190
|
|
68
|
165
|
|
70
|
200
|
|
69
|
175
|
|
72
|
210
|
|
72
|
205
|
|
72
|
185
|
|
71
|
200
|
|
73
|
195
|
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?
