PSY3204C Chapter 16 Quiz

When a linear regression is obtained for X, Y and residuals are computed for Y, what is the sum of these residuals?

0

If the Pearson correlation between 11 pairs of X and Y is r = 0.5, and SSY = 36, find the standard error of estimate.

1.732

A researcher obtains a correlation of r = 0.60 for a set of pairs of X andY values. If the Y scores have SS = 100, and the standard error of estimate for the regression equation for predicting Y from X is 2 points, then how many pairs were there in the data set?

18

If the Pearson correlation between X and Y is r = -1, how many (X, Y) pairs do you need to compute the regression line?

2

The multiple regression with two predictor variables is computed for a sample of n = 32 participants. What is the value for degrees of freedom for the predicted portion of the Y-score variance, MSregression?

2

A researcher conducts an analysis of regression to evaluate the significance of the regression equation and obtains F = 3.76 with df = 1, 18. How many pairs of X and Y values were in the original data?

20

A biologist has determined that the regression line comparing the length in inches (X) and weight in pounds (Y) of a particular species of bird is Y = 0.07X + 0.04. For a bird that weighs 0.27 pounds, what is the predicted length of the bird?

3.29 inches

In running a multiple regression with two predictors, a researcher found that MSresidual = 3.175, MSadditional = 6.071, and MSregression = 12.234. What is the F-ratio for testing the significance of the multiple regression equation?

3.853

The multiple regression equation between Y and two independent variables, X1 and X2, is Y = 1.54X1 + 3.51X2 + 1.17. Predict the Y value if X1 = 5 and X2 = 8.

36.95

For the following data set, find the Y-intercept of the standardized regression line. X Y 1 4 5 8 3 9

4

A multiple regression equation with two predictor variables produces R = 0.8. What portion of the variability for the Y scores is predicted by the equation?

64%

For a data set of n = 9 pairs with a correlation of r = 0.721 and SSY = 172, find the F-ratio and degrees of freedom for the analysis of regression.

F = 7.58, df = 1, 7

Which of the following is not one of the purposes of a line of regression?

It identifies the variability of each variable.

If the Pearson correlation between X and Y is negative, what is the slope of the regression line?

Negative

Testing the significance of a regression equation is equivalent to testing the significance of the _________________.

Pearson correlation

Which of the following is not a linear equation? a. Y = 3X + 5 b. Y + 4X = 12 c. 4(Y - 4) = 2(X - 9) d. X(Y - 2) = 10

X(Y - 2) = 10

Which of the following could represent a multiple regression equation?

Y = 2X1 + 3X2

For the following data, compute the regression line. X Y 2 7 1 5 3 12

Y = 3X + 2

If MX, MY, sX, and sY are known, what would be the most helpful additional number to know for calculating the regression line for X and Y?

r

Using a partial correlation is a technique for measuring the relationship between two variables while eliminating the influence of a third variable. What other technique can accomplish the same goal most easily?

A multiple regression equation