# Question

Based on a sample of 25 observations, the population regression model

yi = β0 + β1x1 + εi

was estimated. The least squares estimates obtained were as follows:

b0 = 15.6 and b1 = 1.3

The total and error sums of squares were as follows:

SST = 268 and SSE = 204

a. Find and interpret the coefficient of determination.

b. Test, against a two-sided alternative at the 5% significance level, the null hypothesis that the slope of the population regression line is 0.

c. Find a 95% confidence interval for β1.

yi = β0 + β1x1 + εi

was estimated. The least squares estimates obtained were as follows:

b0 = 15.6 and b1 = 1.3

The total and error sums of squares were as follows:

SST = 268 and SSE = 204

a. Find and interpret the coefficient of determination.

b. Test, against a two-sided alternative at the 5% significance level, the null hypothesis that the slope of the population regression line is 0.

c. Find a 95% confidence interval for β1.

## Answer to relevant Questions

An analyst believes that the only important determinant of banks' returns on assets (Y) is the ratio of loans to deposits (X). For a random sample of 20 banks, the sample regression line y = 0.97 + 0.47x was obtained with ...An economist wishes to predict the market value of owner-occupied homes in small midwestern cities. She has collected a set of data from 45 small cities for a 2-year period and wants you to use these as the data source for ...A prestigious national news service has gathered information on a number of nationally ranked private colleges; these data are contained in the data file Private Colleges. You have been asked to determine if the percentage ...A group of social workers who work with lowincome people have argued that the poverty income ratio is directly related to the quality of an individual person's diet. That is, people with higher ratios will be more likely to ...A major national supplier of building materials for residential construction is concerned about total sales for next year. It is well known that the company's sales are directly related to the total national residential ...Post your question

0