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Chapter 14: Q 14.141 (page 586)

Gas Guzzlers. The data from Exercise 14.41 for gas mileage and engine displacement of 121 vehicles are on the WeissStats site.Do the data provide sufficient evidence to conclude that engine displacement and gas mileage are negatively linearly correlated?

Short Answer

Expert verified

It is not reasonably apply the correlationt-test procedure.

Step by step solution

01

Step 1:Given informatiion

The data from Exercise 14.41 for gas mileage and engine displacement of 121 vehicles are on the WeissStats site.

02

Step 2:Explainaton

Check whether or not it is reasonably apply the correlation t-test procedure by using the data from Exercise 14.41.

- From the residual plot versus engine displacement, there is concave upward curve pattern.

- From the normal probability plot of residuals and the residual plot, it is clear that there is presence of outliers in the data. Therefore, the linear model is inappropriate.

Hence, the assumption 1 for the regression inferences is violated for the variables Mpg and disp.

Therefore, it is not reasonably apply the correlationt-test procedure.

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Most popular questions from this chapter

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 standard error of the estimate.

b. Construct a residual plot.

c. Construct a normal probability plot of the residuals.

y=1.75+0.25x

In Exercises 14.98-14.108, use the technology of your choice to do the following tasks.
a. Decide whether your can reasonably apply the conditional mean and predicted value t-interval procedures to the data. If so, then also do parts (b)-(h).
b. Determine and interpret a point estimate for the conditional mean of the response variable corresponding to the specified value of the predictor variable.
c. Find and interpret a 95% confidence interval for the conditional mean of the response variable corresponding to the specified value of the predictor variable.
d. Determine and interpret the predicted value of the response variable corresponding to the specified value of the predictor variable.
e. Find and interpret a 95% prediction interval for the value of the response variable corresponding to the specified value of the predictor variable.
f. Compare and discuss the differences between the confidence interval that you obtained in part (c) and the prediction interval that you obtained in part (e).

14.101 Acreage and Value. The data from Exercise 14.37for lot size (in acres) and assessed value (in thousands of dollars) of a sample of homes in a particular area are on the WeissStats site. Specified value of the predictor variable: 2.5 acres.

Fill in the blanks.

a. The line y=β0+β1xis called the ____

b. The common conditional standard deviation of the response variable is denoted _____

c. For x=6, the conditional distribution of the response variable is a____ distribution having mean___ and standard deviation____.

14.75 High and Low Temperature. The data from Exercise 14.39for average high and low temperatures in January for a random sample of 50cities are on the WeissStats site.

a. Decide whether you can reasonably apply the regression t-test. If so, then also do part b.

b. Decide, at the 5%significance level, whether the data provide sufficient evidence to conclude that the predictor variable is useful for predicting the response variable.

Movie Grosses. Box Office Mojo collects and posts data on movie grosses. For a random sample of 50 movies, we obtained both the domestic (U.S.) and overseas grosses, in millions of dollars. The data are presented on the WeissStats site.
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