The average driving distance (yards) and driving accuracy (percent of drives tha
ID: 3205751 • Letter: T
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 (%)
1 316.4 46.2
2 303.8 56.9
3 310.7 51.8
4 312.2 53.2
5 295.5 61.8
6 290.8 66.1
7 295.1 60.4
8 295.9 61.6
a. Write the equation of a straight-line model relating driving accuracy (y) to driving distance (x). Choose the correct answer
below.
A. y = 1x2 + 0
B. y = 0 + 1x +
C. y = 1x +
D. y = 1x
b. Fit the model, part a, to the data using simple linear regression. Give the least squares prediction equation.
^y = (1)________ + (2) __________x
(1) a. 232.4 b. 258.2 c. 271.1 d. 296.9 (2) a. 0.7639 b. 0.6975 c. 0.5979 d. 0.6643
c. Interpret the estimated y-intercept 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 y-intercept has no practical interpretation.
B. For each additional percentage in accuracy, the distance is estimated to change by the value of the y-intercept.
C. Since a drive with 0% accuracy is outside the range of the sample data, the y-intercept has no practical interpretation.
D. For each additional yard in distance, the accuracy is estimated to change by the value of the y-intercept.
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 yard in distance, the accuracy is estimated to change by the value of the slope.
C. For each additional percentage in accuracy, the distance 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.
e. A golfer is practicing a new swing to increase her average driving distance. If the golfer is concerned that her driving accuracy will be lower, which of the two estimates, y-intercept or slope, will help determine if the golfer's concern is valid?
The (3)_____________ will help determine if the golfer's concern is valid because the (4)________________ determines whether the accuracy increases or decreases with distance.
(3) a.slope b. y-intercept (4) a. sign of the slope b. sign of the y-intercept c. magnitude of the slope d. magnitude of the y-intercept
Explanation / Answer
a) Correct Answer: B. y = 0 + 1x +
b)
The regression equation is
(yards) (Y) = 258 - 0.664 Distance(X)
Correct Answers: 1. b. 258.2
Correct Answers: 2. d. 0.6643
c)
Correct Answer: A. Since a drive with distance 0 yards is outside the range of the sample data, the y-intercept has no practical interpretation.
d)
Correct Answer: B. For each additional yard in distance, the accuracy is estimated to change by the value of the slope.
e) Correct Answer:3. a.slope
Correct Answer: 4. b. a. sign of the slope
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