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Chapter 14: Q.14.102 (page 580)

Home Size and Value. The data from Exercise 14.38 for home size (in square feet) and assessed value (in thousands of dollars) for the same homes as in Exercise 14.101 are on the WeissStats site. Specified value of the predictor variable: 3000sq.ft.

Short Answer

Expert verified

The assumption 3for the regression inferences is violated for the variables value and home size.
From part (a), it is clear that the assumptions for the regression inferences are violated. Hence, from part (b) to part (f) cannot be calculated.

Step by step solution

01

Given information

To determine whether the conditional mean and predated value t-interval procedures can be applied to data.

02

Explanation

Given that,

Calculation:
Check whether reasonably to apply the conditional mean and predated value t-interval procedure to data by using Exercise 14.38.
  • The residual plot clearly shows that the residuals are in the horizontal band.
  • The normal probability plot of residuals shows that the residuals deviate from the linear pattern.
  • As a result, for the variables value and home size, assumption 3 for regression inferences is violated.
  • Part (a) clearly shows that the assumptions for regression inferences are violated. As a result, the distance from part (b) to part (f) cannot be calculated.
03

Conclusion

As a result, for the variables value and home size, assumption 3 for regression inferences is violated.

Part (a) clearly shows that the assumptions for regression inferences are violated. As a result, the distance from part (b) to part (f) cannot be calculated.

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Most popular questions from this chapter

In Exercises 14.98-14.108, use the technology of your choice to do the following tasks.
a. Decide whether you can reasonably apply the conditional mean and predicted value t-interval procedures to the data. If so, then also do parts (b)-(f)
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 inter. val that you obtained in part (c) and the prediction interval that you obtained in part (e).

14.99 U.S. Presidents. The data from Exercise 14.35 for the ages at inauguration and of death of the presidents of the United States are on the WeissStats site. Specified value of the predictor variable: 53 years.

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.

In Exercises 14.48-14.57, we repeat the information from Exercises 14.12-14.21.

a. Decide, at the 10%significance level, whether the data provide sufficient evidence lo conclude that a is useful for predicting y:

b. Find a 90%confidences interval for the slope of the population regression line.

y=1.75+0.25x

(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.

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____.
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