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Chapter 14: Q 6 (page 588)
Identify three statistics that can be used as a basis for testing the utility of a regression.
Slope, The sample correlation coefficient and The coefficient of determination
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State the four conditions required for making regression inferences.
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;.
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. 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 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 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 for 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: acres.
The figure shows three residual plots and a normal probability plot of residuals. For each part, decide whether the graph suggests a violation of one or more of the assumptions for regression inferences. Explain your answers.
PCBs and Pelicans. Use the data points given on the WeissStats site for shell thickness and concentration of PCBs for Anacapa pelican eggs referred to in Exercise .
a. Decide whether you can reasonably apply the regression -test. If so, then also do part (b).
b. Decide, at the significance level, whether the data provide sufficient evidence to conclude that the predictor variable is useful for predicting the response variable.
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