Question

1. Identify the formula for predicting an individual's z score on the dependent variable from their z score on the independent variable.

a.) (r_xy)(z_y)

b.) (r_xy)(z_x)

c.) z_x/z_y

d.) (z_x)(z_y)

2. Data from the 1993 World Almanac and Book of Facts were used to predict the life expectancy for men in a country from the life expectancy of women in that country. The resulting regression equation was Yˆ = 9.32 + 0.79(X). Using the regression equation, what would you predict to be the life expectancy of men in a country whose life expectancy for women is 72 years?

a.) 64.64 years

b.) 66.20 years

c.) 79.36 years

d.) 47.56 years

3. The regression line is the line that:

a.) is the mean of our dependent variable.

b.) minimizes our error in predicting scores on the independent variable.

c.) minimizes the correlation coefficient.

d.) minimizes our error in predicting scores on the dependent variable.

5. Which of the following is a limitation of using regression?

a.) Regression is only appropriate with linear data.

b.) All of these are limitations of regression.

c.) The data used are rarely from a true experiment.

d.) The presence of confounding variables may limit confidence in our findings.

6. As the correlation coefficient gets stronger, proportionate reduction in error:

a.) is unaffected.

b.) becomes more variable.

c.) gets larger.

d.) gets smaller.

7. To predict a single dependent variable from more than one independent variable, which statistical technique would you use?

a.) structural equation modeling

b.) simple linear regression

c.) multiple regression

d.) correlation

8. In a study designed to predict blood cholesterol levels from the amount of daily saturated fat in grams (X₁) and the number of hours of daily exercise (X₂), we determine that the slope of X₁ is 4, the slope of X₂ is – 6, and the y-intercept is 170. Which of the following is the regression equation for this data?

a.) Yˆ = 170 + 2(X)

b.) Yˆ = 170 + 4(X₁) – 6(X₂)

c.) Yˆ = 170 - 4(X₁) – 6(X₂)

d.) Yˆ = 170 + 4(X₁) + 6(X₂)

10. Suppose a researcher is interested in factors that correlate with a student's grade point average and is using the technique of structural equation modeling (SEM). One of the variables he is interested in studying is motivation. Because motivation is a variable that we can't observe directly then it is considered a(n) ____ variable.

a.) third

b.) untestable

c.) latent

d.) manifest

11. A researcher conducts a series of regression analyses that quantify the paths between variables at each succeeding step in a model. The researcher is conducting a(n):

a.) stepwise regression.

b.) path analysis.

c.) simple linear regression analysis.

d.) MANCOVA.

12. Courtney is analyzing a large data set and is interested in the statistical connection between a stressful family environment and resilience in her overall statistical model. The technical term for the connection between these two variables is:

a.) path.

b.) latent variable.

c.) condition.

d.) regression.

Answer 1

Solution2:

Yˆ = 9.32 + 0.79(X)

X=72

so

Yˆ = 9.32 + 0.79(72)

Y^=66.2

ANSWER:

b.) 66.20 years

Solution7:

To predict a single dependent variable from more than one independent variable, which statistical technique would you use?

c.) multiple regression

Solution8:

e slope of X₁ is 4, the slope of X₂ is – 6, and the y-intercept is 170.

Y^=170+4X1-6X2

b.) Yˆ = 170 + 4(X₁) – 6(X₂)