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The average driving distance and driving accuracy for 8 golfers are recorded in the table to the right. Complete parts a through e below.
Player | Distance_(yards) | Accuracy_(%) |
1 | 316.7 | 41.6 |
2 | 304.4 | 52.4 |
3 | 310.7 | 50.8 |
4 | 311.8 | 50.1 |
5 | 294.3 | 58.6 |
6 | 291.5 | 64.5 |
7 | 295.1 | 58.7 |
8 | 293.6 | 59.5 |
a) Write the equation of a straight-line model relating driving accuracy (y) to driving distance (x). Choose the correct answer below.
b) Fit the model, part a, to the data using simple linear regression. Give the least squares prediction equation.
c) Interpret the estimated y-intercept of the line. Choose the correct answer below.
d) Interpret the estimated slope of the line. Choose the correct answer below.
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 slope will help determine if the golfer's concern is valid because the sign of the slope determines whether the accuracy increases or decreases with distance.