Question

The average driving distance and driving accuracy of drives that land in the for 8 golfers are recorded in the table to the right.

Player   Distance_(yards)   Accuracy_(%)
1 315.7 39.6
2 304.4 50.3
3 309.5 44.3
4   311.7 41.5
5 295.6    57.1
6 290.1 64.6
7   295.1 56.3
8 294.1 56.5

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.

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

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

3- Since a drive with accuracy is outside the range of the sample the has no practical interpretation.

4- Since a drive with distance 0 yards is outside the range of the sample the has no practical interpretation.

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

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

2- Since a drive with distance 0 yards is outside the range of the sample the slope has no practical interpretation.

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

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

e.A golfer is practicing a new swing to increase his average driving distance. If the golfer is concerned that his driving accuracy will be​ lower, which of the two​estimates, y-intercept or​ slope, will help determine if the​golfer's concern is​ valid?

Answer 1

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

Accuracy (y) = β0 + β1 * Distance (x)

b. Fit the​ model, part a​, to the data using simple linear regression. Give the least squares prediction equation.

Accuracy (y) = 327.1209 - 0.9133 * Distance (x)

c. Interpret the estimated​ y-intercept of the line. Choose the correct answer below.

4- Since a drive with distance 0 yards is outside the range of the sample the has no practical interpretation.

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

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

e.A golfer is practicing a new swing to increase his average driving distance. If the golfer is concerned that his driving accuracy will be​ lower, which of the two​estimates, y-intercept or​ slope, will help determine if the​golfer's concern is​ valid?

slope

	r²	0.973
	r	-0.986
	Std. Error	1.563
	n	8
	k	1
	Dep. Var.	Accuracy_(%)
ANOVA table
Source	SS	df	MS	F	p-value
Regression	530.8362	1	530.8362	217.28	6.13E-06
Residual	14.6588	6	2.4431
Total	545.4950	7
Regression output				confidence interval
variables	coefficients	std. error	t (df=6)	p-value	95% lower	95% upper
Intercept	327.1209
Distance_(yards)	-0.9133	0.0620	-14.740	6.13E-06	-1.0649	-0.7617

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