# Question: Based on a sample of 30 observations the population regression

Based on a sample of 30 observations, the population regression model

yi = β0 + β1xi + εi

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

b0 = 10.1 and b1 = 8.4

The regression and error sums of squares were as follows:

SSR = 128 and SSE = 286

a. Find and interpret the coefficient of determination.

b. Test at the 10% significance level against a twosided alternative the null hypothesis that β1 is 0.

c. Find

yi = β0 + β1xi + εi

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

b0 = 10.1 and b1 = 8.4

The regression and error sums of squares were as follows:

SSR = 128 and SSE = 286

a. Find and interpret the coefficient of determination.

b. Test at the 10% significance level against a twosided alternative the null hypothesis that β1 is 0.

c. Find

## Answer to relevant Questions

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 ...The Department of Transportation wishes to know if states with a larger percentage of urban population have higher rates of automobile and pickup crash deaths. In addition, it wants to know if either the average speed on ...Given the regression equation Y = 43 + 10X a. What is the change in Y when X changes by +8? b. What is the change in Y when X changes by -6? c. What is the predicted value of Y when X = 11? d. What is the predicted value of ...There is a belief among many people that a healthy diet will cost more than a less healthy diet. Using research based on the available population survey data, can you conclude that a healthy diet will in fact cost more than ...Stuart Wainwright, the vice president of purchasing for a large national retailer, has asked you to prepare an analysis of retail sales by state. He wants to know if the percent of unemployment for males and for females and ...Post your question