3. (8 points) Suppose that a regression equation for the relationship between y

Question

3. (8 points) Suppose that a regression equation for the relationship between y = success rate (in percent) and -putting distance (in feet) is: y = 76.5-3.952. (a) (3 points) What is the slope of the regression line? Write a sentence that interprets this slope in the context of this situation. b) (3 points) What is the y-intercept? Does the y-intercept have any useful interpretation in this example? Why or why not? (c) (1 point) What percentage of success would you expect for these professional golfers if the putting distance was 10 feet? (d) (1 point) Suppose that a professional golfer has a success rate of 75% at a distance of 10 feet. Calculate the residual for this individual

Explanation / Answer

a) Slope of Regression line is -3.95 and it means success rate is decreased by 3.95% for every increase in Putting distance

b) Y Intercept is 76.5 and it has no practical meaning

c) y = 76.5-3.95*10 = 37%

d) Residual = 75%-37% = 38%

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