Exam 14: Regression Analysis

Exhibit 14-8.An real estate analyst believes that the three main factors that influence an apartment's rent in a college town are the number of bedrooms,the number of bathrooms,and the apartment's square footage.For 40 apartments,she collects data on the rent (y,in $),the number of bedrooms (x₁),the number of bathrooms (x₂),and its square footage (x₃).She estimates the following model: .The following table shows a portion of the regression results. Refer to Exhibit 14-8.The coefficient of determination indicates that

Consider the following sample data: a.Construct a scatterplot. B)Calculate b₁ and b₀.What is the sample regression equation? C)Find the predicted value for y if x equals 10,15 and 20.

In the estimation of a multiple regression model with two explanatory variables and 20 observations, and .The value of adjusted R² is closest to:

Consider the following simple linear regression model: .The explanatory variable is:

A sample of 30 observations provides the following statistics: a.Calculate and interpret the sample correlation coefficient . B)Specify the hypotheses to determine whether or not x and y are significantly correlated. C)At the 5% significance level,what is the conclusion to the test using the critical-value approach? Explain. D)At the 5% significance level,what is the conclusion to the test using the p-value approach? Explain.

The coefficient of determination R² is ________.

Exhibit 14-4.Consider the following sample regression equation ,where y is the supply for Product A (in 1000s)and x is the price of Product A (in $). Refer to Exhibit 14-4.The slope coefficient indicates that if

Exhibit 14-2.A statistics student is asked to estimate .She calculates the following values. Refer to Exhibit 14-2.What is the sample regression equation?

Exhibit 14-1.Over the past 30 years,the sample standard deviations of the rates of return for stock X and Stock Y were 0.20 and 0.12,respectively.The sample covariance between the returns of X and Y is 0.0096. Refer to Exhibit 14-1.In order to determine whether the correlation coefficient is significantly different from zero,the appropriate hypotheses are:

In a simple linear regression model,if the plots on a scatter diagram lie on a straight line,what is the standard error of the estimate?

The following scatterplot implies that the relationship between the two variables x and y is:

Exhibit 14-10.A sociologist examines the relationship between the poverty rate and several socioeconomic factors.For the 50 states and the District of Columbia (n = 51),he collects data on the poverty rate (y,in %),the percent of the population with at least a high school education (x₁),median income (x₂,in $1000s),and the mortality rate per 1,000 residents (x₃).He estimates the following model: .The following table shows a portion of the regression results. Notes: Data obtained from the Statistical Abstract of the US for the year 2007. Refer to Exhibit 14-10.The coefficient of determination indicates that

In the estimation of a multiple regression model with two explanatory variables and 20 observations, and .What is the value of R²?

Which of the following statements is least accurate concerning correlation analysis?

When two regression models applied on the same data set have the same response variable but a different number of explanatory variables,the model that would evidently provide the better fit is the one with a

Exhibit 14-1.Over the past 30 years,the sample standard deviations of the rates of return for stock X and Stock Y were 0.20 and 0.12,respectively.The sample covariance between the returns of X and Y is 0.0096. Refer to Exhibit 14-1.When testing whether the correlation coefficient differs from zero,the value of the test statistic is .At the 5% significance level,the critical value is .The conclusion to the hypothesis test is to: