Question

The average driving distance​ (yards) and driving accuracy​(percent of drives that land in the​ fairway) for 8 golfers are recorded in the table to the right. Complete parts a through e below.		Player	Distance​ (yards)	Accuracy​ (%)
		1	316.1316.1	44.6
		2	303.3	51.7
		3	309.4	47.5
		4	311.6	40.6
		5	295.3	55.4
		6	290.4	58.9
		7	295.8	56.2
		8	304.3	49.5

a. Write the equation of a​ straight-line model relating driving accuracy​ (y) to driving distance​ (x). Choose the correct answer below.

A.y =β1x

B.y=β1x2+β0

C.y=β1x+ε

D.y=β0+β1x+ε

Your answer is correct.

b. Fit the​ model, part

a​,to the data using simple linear regression. Give the least squares prediction equation.ModifyingAbove y with caretyequals= 250.3plus+Left parenthesis negative 0.6587 right parenthesis(−0.6587)x

c. Interpret the estimated​ y-intercept of the line.

Choose the correct answer below.

A.Since a drive with​ 0% accuracy is outside the range of the sample​ data, the​ y-intercept has no practical interpretation.

B.For each additional yard in​ distance, the accuracy is estimated to change by the value of the​ y-intercept.

C.For each additional percentage in​ accuracy, the distance is estimated to change by the value of the​y-intercept.

D.Since a drive with distance 0 yards is outside the range of the sample​ data, the​ y-intercept has no practical interpretation.

Your answer is correct.

d. Interpret the estimated slope of the line. Choose the correct answer below.

A.Since a drive with distance 0 yards is outside the range of the sample​ data, the slope has no practical interpretation.

B.For each additional percentage in​ accuracy, the distance is estimated to change by the value of the slope.

C.For each additional yard in​ distance, the accuracy is estimated to change by the value of the slope.

D.Since a drive with​ 0% accuracy is outside the range of the sample​ data, the slope has no practical interpretation.

Answer 1