Exam 13: Correlation and Linear Regression

In the least squares equation, Ŷ = 10 + 20X the value of 20 indicates ____________.

The relationship between interest rates as a percent (X) and housing starts (Y) is given by the linear equation Ŷ = 4094 - 269X. What happens to housing starts as interest rates fall?

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

Using the following information: What is the coefficient of determination? Round the percentage to one decimal point.

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 no relationship exists between study time and score, what are the F test statistic and the F-critical value using the 0.05 significance level?

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

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 regression equation?

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

The best model to describe a linear relationship between two variables is the _______________________.

A regression analysis yields the following information: ; n = 10; s_y∙x = 1.66; ΣX = 32; ΣX² = 134; Compute the 95% confidence interval when X = 4.

Correlation analysis is a statistical technique used to measure the strength of the relationship between two variables.

The relationship between interest rates as a percent (X) and housing starts (Y) is given by the linear equation Ŷ = 4094 - 269X. At what interest rate will there be no permits for housing starts?

A random sample of 15 recent home sales was selected to test the hypothesis that the area of a home, in square feet, and the selling price are positively correlated. The rejection region will fall in the ________ tail of a t distribution.

The _______________ principle is applied when calculating the regression coefficients.

If the correlation between two variables is close to one, the association between the variables is ___________.

The minimum and maximum values of the coefficient of determination are ________.

Using the following information: The regression equation is _______.

Select a value for the correlation coefficient and provide a complete interpretation of the correlation coefficient using your selected value.

In regression analysis, what is the predictor variable called?

A company wants to study the effect of an employee's length of employment on their number of workdays absent. The company collected the following information on a random sample of seven employees. What is the independent variable (X)?