Exam 13: Correlation and Linear Regression

High school students were interested in a teacher's claim that the longer the length of time (hours) that a student studies for a test, the higher the test score. The students collected the data and the teacher did the regression analysis with the following results. What is the regression mean square?

A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a salesperson makes and the amount of sales dollars earned. A regression analysis shows the following results: What is the slope of the linear equation?

A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a salesperson makes and the amount of sales dollars earned. A regression analysis shows the following results: What is the Y-intercept of the linear equation?

The least squares technique minimizes the sum of the squares of the vertical distances between the actual Y values and the predicted values of Y.

The regression equation is Ŷ = 30 + 2.56X, the sample size is 14, and the standard error of the slope is 0.97. What is the test-statistic to test the significance of the slope?

A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a salesperson makes and the amount of sales dollars earned. A regression analysis shows the following results: What is the standard error of the slope?

A sales manager for an advertising agency believes there is a relationship between the number of contacts that a salesperson makes and the amount of sales dollars earned. A regression analysis shows the following results: = 33.4. = 2814.4. The 95% prediction interval for a particular person making 30 calls is _______.

The regression equation is Ŷ = 29.29 - 0.96X, the sample size is 8, and the standard error of the slope is 0.22. What is the test-statistic to test the significance of the slope?

What are the degrees of freedom used to test the significance of the slope in a simple linear regression equation?

High school students were interested in a teacher's claim that the longer the length of time (hours) that a student studies for a test, the higher the test score. The students collected the data and the teacher did the regression analysis with the following results. To test the null hypothesis that the slope is zero, what are the t test statistic and the t-critical values using the 0.05 significance level?

Using the following information: If testing the hypothesis: H₀: ρ = 0, the computed t-statistic is __________.

The hypothesis to test the slope of a regression equation is H₀: α = 0.

The general form of the regression equation is ____________.

In the regression equation, what does the letter "a" represent?

The coefficient of correlation and the slope of the regression line always have their __________ in common.

What is the purpose of transformations in regression analysis?

A confidence interval can be determined for the mean value of Y for a given value of X.

Consider the following regression equation: Y = 30 + 8X. If SSE = 720 and SS Total = 1,200, then the correlation coefficient is _______.

The _______________ principle is applied when calculating the regression coefficients.

The regression equation is used to estimate a value of the dependent variable Y based on a selected value of the independent variable X.