Exam 13: Correlation and Linear Regression

The relationship between interest rates as a percent (X) and housing starts (Y) is given by the linear equation Ŷ = 4094 - 269X. For what interest rate will the maximum number of housing starts be achieved?

Using the following information: What is the correlation coefficient?

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 critical value to test the significance of the slope at the 0.01 significance level?

If the correlation between sales and advertising is +0.6, _____% of the variation in sales can be attributed to advertising.

Using the following regression analysis: What is the residual mean square?

An example of a way to rescale a variable to create a linear relationship is:

What is the alternate hypothesis to test the significance of the slope in a regression equation?

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.

If r = 0.65, what does the coefficient of determination equal?

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?

If the coefficient of determination is 0.81, the coefficient of correlation is _____.

Using the following regression analysis: What is the t test statistic to test the significance of the slope?

What is the general form of the regression equation?

Which of the following are true assumptions underlying linear regression? (1) For each value of X, there is a group of Y values that is normally distributed. (2) The means of these normal distributions of Y values all lie on the regression line. (3) The standard deviations of these normal distributions are equal.

A hypothesis test is conducted at the .05 level of significance to test whether or not the population correlation is zero. If the sample consists of 25 observations and the correlation coefficient is 0.60, what is the computed value of the test statistic? Round to two decimal places.

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?

Using the following information: Estimate the value of Ŷ when X = 4.

If there is perfect correlation, the value of the correlation coefficient is __________.

Using the following regression analysis: What is the F-statistic for the ANOVA?

Which of the following statements regarding the coefficient of correlation is true?