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 group of researchers developed a new method for ranking the total driving performance of golfers on a tour. The methodrequires knowing a golfer's average driving distance (yards) and driving accuracy (percent of drives that land in the fairway).They construct a straight-line model relating driving accuracy (y) to driving distance (x). A MINITAB printout with prediction andconfidence intervals for a driving distance of x = 300 is shown below.Data Tabletical interpretation of the result.MINITAB outputPredicted Values For New ObservationsNew Obs FitSE Fit95% CI95% PI161.3050.367(60.562, 62.048) (56.716, 65.894)Values of Predictors for New ObservationsNew Obs DISTANCE1300

a. The MINITAB output is given.

Answered: a. Locate the 95% prediction interval…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

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Author:Carter

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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 group of researchers developed a new method for ranking the total driving performance of golfers on a tour. The method
requires knowing a golfer's average driving distance (yards) and driving accuracy (percent of drives that land in the fairway).
They construct a straight-line model relating driving accuracy (y) to driving distance (x). A MINITAB printout with prediction and
confidence intervals for a driving distance of x = 300 is shown below.
Data Table
tical interpretation of the result.
MINITAB output
Predicted Values For New Observations
New Obs Fit
SE Fit
95% CI
95% PI
1
61.305
0.367
(60.562, 62.048) (56.716, 65.894)
Values of Predictors for New Observations
New Obs DISTANCE
1
300

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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