Find the equation for the regression line with weight

Reference no: EM131788548

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?

Reference no: EM131788548

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