The average driving distance​ (yards) and drivingaccuracy​(percent of drives that land in the​ fairway) for 8golfers are recorded in the table to the right. Complete parts athrough 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 drivingaccuracy​ (y) to driving distance​ (x). Choose the correct answerbelow.
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 leastsquares prediction equation.ModifyingAbove y with caretyequals=250.3plus+Left parenthesis negative 0.6587 rightparenthesis(−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 thesample​ data, the​ y-intercept has no practical interpretation.
B.For each additional yard in​ distance, the accuracy isestimated to change by the value of the​ y-intercept.
C.For each additional percentage in​ accuracy, the distance isestimated to change by the value of the​y-intercept.
D.Since a drive with distance 0 yards is outside the range ofthe sample​ data, the​ y-intercept has no practicalinterpretation.
Your answer is correct.
d. Interpret the estimated slope of the line. Choose the correctanswer below.
A.Since a drive with distance 0 yards is outside the range ofthe sample​ data, the slope has no practical interpretation.
B.For each additional percentage in​ accuracy, the distance isestimated to change by the value of the slope.
C.For each additional yard in​ distance, the accuracy isestimated to change by the value of the slope.
D.Since a drive with​ 0% accuracy is outside the range of thesample​ data, the slope has no practical interpretation.