Exam 11: Simple Regression

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The results of a regression analysis are listed below but,unfortunately,some values as identified by asterisks are missing. SUMMARY OUTPUT -Determine the standard error of estimate.

Which of the following will not tend to increase the standard error of the slope?

For the given data,what is the relationship between the Student's t-statistic and the F statistic?

Correlation coefficients of -0.95 and +0.95 represent relationships between two variables that have equal strength but different directions.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A sample of 8 households was asked about their monthly income (x)and the number of hours they spend connected to the internet each month (y).The data yield the following statistics: , , , , -The standard deviation of the households' monthly income is:

Test H₀ : β₁ = 0 vs.H₁ : β₁ > 0 at α = 0.025

In a study it was shown that for a sample of 375 college faculty the correlation was 0.15 between annual raises and teaching evaluations.What would be the coefficient of determination of a regression of annual raises on teaching evaluations for this sample? Interpret your results.

In the sample regression line = b₀ + b₁x,the term b₀ is the y-intercept;this is the value of y where the line intersects the y-axis whenever x = 0.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: You are interested in exploring the relationship between the income of professors (measured in thousands of dollars)and the number of years they have been employed by the university.You collect the following data from eight professors. -Test the hypotheses H₀ : β₁ = 0 vs.H₁ : β₁ ≠ 0 using the F statistic.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A sample of 8 households was asked about their monthly income (x)and the number of hours they spend connected to the internet each month (y).The data yield the following statistics: , , , , -Calculate the sample covariance between x and y.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider the following values of variables x and y: -At the 0.05 level of significance,test the null hypothesis that the population coefficient of correlation is really zero.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The data below are for the number of unemployed persons (in millions)and the federal unemployment insurance payments (in billions of dollars)for the years 1978-1985.Some economists state that these two variables are positively related. -In a research involving the study of Federal Unemployment Insurance payments on the number of unemployed people,identify the dependent and independent variables.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A sample of 8 households was asked about their monthly income (x)and the number of hours they spend connected to the internet each month (y).The data yield the following statistics: , , , , -Which of the following is the value of the test statistic for testing H₀ : β₁ = 0 vs.H₁ : β₁ ≠ 0?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: You want to explore the relationship between the grades students receive on their first quiz (x)and their first exam (y).The first quiz and test scores for a sample of eight students reveal the following summary statistics: -Determine the value of the test statistic for testing H₀ : p = 0

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: You are interested in exploring the relationship between the income of professors (measured in thousands of dollars)and the number of years they have been employed by the university.You collect the following data from eight professors. -Test H₀ : β₁ = 0 vs.H₁ : β₁ ≠ 0 using the t-test.

The value of the variation explained by the regression line can never be smaller than 0.0.

For a random sample of 263 professionals,the correlation between their age and their income was found to be 0.17.Use 0.05 level of significance to test the null hypothesis that there is no linear relationship between these two variables against the alternative that there is a positive relationship.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: In a recent survey,250 adults were asked about their monthly expenditures (in dollars)on the lottery.In addition,data were collected about the number of years of education they had.A simple regression was run,and the following results were obtained: b₀ = 35.6,b₁ = -2.37,s = 18.9,and s = 1.28. -Test H₀ : β₁ = 0 vs.H_a : β₁ < 0 at α = 0.05

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: You are interested in exploring the relationship between the income of professors (measured in thousands of dollars)and the number of years they have been employed by the university.You collect the following data from eight professors. -What is the estimated regression line?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A sales manager is interested in determining the relationship between the amount spent on advertising and total sales.The manager collects data for the past 24 months and runs a regression of sales on advertising expenditures.The results are presented below but,unfortunately,some values identified by asterisks are missing. SUMMARY OUTPUT -The total degrees of freedom is: