Exam 14: Linear Regression and Multiple Correlation

In linear regression, the Y-intercept a is the predicted value for the Y variable when X is equal to ______.

If you were to develop a linear regression equation that predicts the number of arrests from age, what would be the Y-intercept (a) of the regression equation? Pearson r = .25

For α = .01 and df = 3, 75, the critical value for the F-ratio would be ______.

When a relationship is found between variables, an opportunity exists to ______.

Multiple correlation is defined as the mathematical equation that predicts a score on a criterion variable from scores on two or more predictor variables.

When understanding the linear relationship between two continuous variables, the slope coefficient tells us the magnitude of the relationship while the correlation coefficient indicates the direction of the relationship.

The R measures the relationship between two or more predictor variables and a criterion variable.

A multiple correlation R is significant when it is statically ______.

A researcher studying the relationship between the number of hours students spend studying and their score on an exam calculates the following regression equation: Y'= 4.07 + .21(X). In this example, Y′ refers to ______.

I would calculate a ______ if I wanted to ______.

The first step in calculating the linear regression equation is to ______.

For a sample of 80 students analyzing 2 predictor variables, what is the degrees of freedom for the numerator of the F-ratio equation?

Regression involves the prediction of a criterion variable.

For data that produced a slope of .36 and an intercept of 5.23, which is the appropriate way to report the linear regression equation?

Use the following information for Questions -Calculate the F.

Use the table for Question -A researcher collected data on the homicide rate for 10 different cities. The researcher was interested in the effect that policing and the percent of households on public assistance on the homicide rate. The following data was collected. What is the regression slope for percent on public assistance?

The ______ measures the relationship between two or more predictor variables and a criterion variable.

A researcher studying the relationship between drivers' average speed (MPH) on the highway and number of moving violations they receive develops the following regression equation: Y'= 1.85 + .05(X). In the example, Y'refers to ______.

In a sample of 35 students, the combination of household income and high school GPA predicting college GPA had an R = .45, F(2, 32) = 4.25, the researcher would ______.

For a sample of 100 students analyzing 4 predictor variables, what is the degrees of freedom for the numerator of the F-ratio equation?