Exam 13: Correlation and Linear Regression

Using the following regression analysis: What are the regression degrees of freedom?

If the coefficient of correlation is 0.80, the coefficient of determination is _____.

The standard error of the estimate measures the scatter or dispersion of the observed values around a ___________________.

In regression analysis, error is defined as .

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. Write the regression equation in terms of the independent and dependent variables.

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?

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?

If there is absolutely no relationship between two variables, Pearson's r will equal _____.

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

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

What is the purpose of transformations in regression analysis?

Using the following information: What is the standard error of the estimate?

What are the inputs and the output of linear regression?

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

When comparing the 95% confidence and prediction intervals for a given regression analysis ______________.

The strength of the correlation between two variables depends on the sign of the coefficient of correlation.

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

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.

A company wants to study the effect of an employee's length of employment on their number of workdays absent. The results of the regression analysis follow. What is the meaning of a negative slope?

If the sample correlation coefficient, r, is -0.96, the dependent variable ________ as the independent variable increases.