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a. Locate the​ 95% prediction interval for driving accuracy​ (y) on the​ printout, and give a practical interpretation of the result. b. Locate the​ 95% confidence interval for mean driving accuracy​ (y) on the​ printout, and give a practical interpretation of the result. c. If you are interested in knowing the average driving accuracy of all golfers who have a driving distance of 300​ yards, determine which of the intervals is relevant. Explain.

a. Locate the​ 95% prediction interval for driving accuracy​ (y) on the​ printout, and give a practical interpretation of the result. b. Locate the​ 95% confidence interval for mean driving accuracy​ (y) on the​ printout, and give a practical interpretation of the result. c. If you are interested in knowing the average driving accuracy of all golfers who have a driving distance of 300​ yards, determine which of the intervals is relevant. Explain.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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a. Locate the​ 95% prediction interval for driving accuracy​ (y) on the​ printout, and give a practical interpretation of the result.

b. Locate the​ 95% confidence interval for mean driving accuracy​ (y) on the​ printout, and give a practical interpretation of the result.

c. If you are interested in knowing the average driving accuracy of all golfers who have a driving distance of 300​ yards, determine which of the intervals is relevant. Explain.

Title: Ranking Driving Performance of Golfers: Minitab Analysis --- **Introduction** A group of researchers has developed a new method for assessing the total driving performance of golfers on a tour. This method requires data pertaining to a golfer's average driving distance (measured in yards) and driving accuracy (the percentage of drives that successfully land in the fairway). By constructing a straight-line model, the researchers relate driving accuracy (y) to driving distance (x). Below is a Minitab output providing the predicted values and confidence intervals for a driving distance of x = 300. ![Minitab Data Table](#) **Minitab Output Explanation** 1. **Predicted Values For New Observations** - **New Obs:** The observation entry number. - **Fit:** The predicted value of driving accuracy, which in this case is 61.308. - **SE Fit:** The standard error of the fit, which is 0.367. - **95% CI:** The 95% confidence interval for the predicted value, which ranges from 60.565 to 62.051. - **95% PI:** The 95% prediction interval for new observations, which ranges from 56.719 to 65.897. These values provide an estimate and associated intervals within which the actual driving accuracy for the specified driving distance can be expected to fall. 2. **Values of Predictors for New Observations** This section displays the driving distance input for the new observation: - **New Obs:** The observation entry number. - **DISTANCE:** The input driving distance for this observation, which is 300. The table clearly summarizes the predicted driving accuracy and the associated confidence intervals for a driving distance of 300 yards. **Statistical Interpretation** - The **predicted driving accuracy** for a driving distance of 300 yards is approximately **61.308%**. - The **95% confidence interval** indicates that we can be 95% confident that the true mean driving accuracy for a driving distance of 300 yards lies between **60.565% and 62.051%**. - The **95% prediction interval** provides a range in which we can expect 95% of individual driving accuracies to fall, which is between **56.719% and 65.897%**. **Conclusion** This Minitab analysis assists researchers and golfing professionals in estimating driving accuracy
Transcribed Image Text:Title: Ranking Driving Performance of Golfers: Minitab Analysis --- **Introduction** A group of researchers has developed a new method for assessing the total driving performance of golfers on a tour. This method requires data pertaining to a golfer's average driving distance (measured in yards) and driving accuracy (the percentage of drives that successfully land in the fairway). By constructing a straight-line model, the researchers relate driving accuracy (y) to driving distance (x). Below is a Minitab output providing the predicted values and confidence intervals for a driving distance of x = 300. ![Minitab Data Table](#) **Minitab Output Explanation** 1. **Predicted Values For New Observations** - **New Obs:** The observation entry number. - **Fit:** The predicted value of driving accuracy, which in this case is 61.308. - **SE Fit:** The standard error of the fit, which is 0.367. - **95% CI:** The 95% confidence interval for the predicted value, which ranges from 60.565 to 62.051. - **95% PI:** The 95% prediction interval for new observations, which ranges from 56.719 to 65.897. These values provide an estimate and associated intervals within which the actual driving accuracy for the specified driving distance can be expected to fall. 2. **Values of Predictors for New Observations** This section displays the driving distance input for the new observation: - **New Obs:** The observation entry number. - **DISTANCE:** The input driving distance for this observation, which is 300. The table clearly summarizes the predicted driving accuracy and the associated confidence intervals for a driving distance of 300 yards. **Statistical Interpretation** - The **predicted driving accuracy** for a driving distance of 300 yards is approximately **61.308%**. - The **95% confidence interval** indicates that we can be 95% confident that the true mean driving accuracy for a driving distance of 300 yards lies between **60.565% and 62.051%**. - The **95% prediction interval** provides a range in which we can expect 95% of individual driving accuracies to fall, which is between **56.719% and 65.897%**. **Conclusion** This Minitab analysis assists researchers and golfing professionals in estimating driving accuracy
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