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In Exercises 14.12-14.21, we repeat the data and provide the sample regression equations for Exercises 4.48 -4.57.

a. Determine the standand error of the estimate.

b. Construct a residual plot.

c. Construct a normal probability plot of the residuals.

Short Answer

Expert verified

The standard error of the estimate≈2.45.

Step by step solution

01

Part a) Step 1 Given Information

02

Part a Step 2 Explanation

From the above Analysis of variance printout,

We have SSE=6

df=n-1

=3-2

=1

The formula for the standard error of the estimate is given by.

se=SSEn-2

=61

=2.45

Therefore, the standard error of the estimate≈2.45.

03

Part b Step 1 Given Information

04

Part b Step 2 Explanation

MINITAB procedure: Step 1: Choose Stat > Regression > Regression.

Step 2: In Response, enter the column Low.

Step 3: In Predictors, enter the columns High.

Step 4: In Graphs, enter the columns High under Residuals versus the variables

Step 5: Click OK.

MINITAB output:

Hence the residual plot is drawn.

05

Part c Step 1 Given Information

06

Part c Step 2 Explanation

MINITAB procedure: Step 1: Choose Stat > Regression > Regression.

Step 2: In Response, enter the column Low

Step 3: In Predictors, enter the columns High.

Step 4: In Graphs, select Normal probability plot of residuals.

Step 5: Click OK.

MINITAB output:

Hence, the normal probability plot of the residualsis drawn.,

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Most popular questions from this chapter

In each of Exercises 14.64-14.69, apply Procedure 14.2 an page 567 to find and interpret a confidence interval, at the specified confidence level for the slope of the population regression line that relates rite response variable to the predicter variable.

Crown-Rump Length. Refer to Exercise 14.62;90%.

14.97 Study Time and Score. Following are the data on total hours studied over 2 weeks and test score at the end of the 2 weeks from Exercise 14.27.

x
10
15
12
20
8
16
14
22
y
91
81
84
74
85
80
84
80


a. Determine a point estimate for the mean test score of all beginning calculus students who study for 15hours.
b. Find a 99% confidence interval for the mean test score of all beginning calculus students who study for 15 hours.
c. Find the predicted test score of a beginning calculus student who studies for 15 hours.
d. Determine a 99% prediction interval for the test score of a beginning calculus student who studies for 15hours.

Movie Grosses. The data from Exercise14.36 on domestic and overseas grosses for a random sample of 50 movies are on the WeissStats site.

(a) Decide, at the 10%significance level, whether the data provide sufficient evidence to conclude that xis useful for predicting y:

(b) Find a 90%confidence interval for the slope of the population regression line.

Plant Emissions. Use the data on plant weight and quantity of volatile emissions from Exercise 14.25.

a. compute the standard error of the estimate and interpret your answer

b. interpret your result from part (a) if the assumptions for regression inferences hold.

c. obtain a residual plot and a normal probability plot of the residuals.

d. decide whether you can reasonably consider Assumptionsfor regression inferences to be met by the variables under consideration. (The answer here is subjective, especially in view of the extremely small sample sizes.)

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