# The average driving distance​ and driving accuracy​ for 8 golfers are recorded in the table to the right. Complete parts a through e below.

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 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 validThe 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.

I would like to help with this question;-

The equation of the regression line can be written as;  y = B0 + B1 * x + e

 Regression Statistics Multiple R 0.960 R Square 0.922 Adjusted R Square 0.909 Standard Error 2.170 Observations 8 ANOVA df SS MS F Significance F Regression 1 335.06 335.055 71.137 0.000 Residual 6 28.26 4.710 Total 7 363.32 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 266.582 25.154 10.598 0.000 205.032 328.131 Distance_(yards) -0.702 0.083 -8.434 0.000 -0.905 -0.498

we estimate the regression prediction equation as; y^ = 266.582 + (-0.702) * x

b) Interpretation of the intercept does not apply for this data,

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

c) Interpretation of the slope follows that;-

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

e)

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.