Suppose that I have a randomly selected sample of 42 American men. In this sample, the average number of hours worked per week is 45 with a standard deviation of 12. The average level of life satisfaction (on a scale from 1 = "hating life" to 10 = "loving life) is 5.00 with a standard deviation of 3.00. The correlation between hours worked and life satisfaction is .40. Please answer the following two questions based on these data.
a. If you know that someone works 35 hours per week, what would you predict her life satisfaction score to be? (Please provide enough information so that I can tell how you reached your conclusion, including your regression coefficient and your intercept).
b. Please wrap words around the regression coefficient that you calculated for the last problem. What does this tell you?

Question

Quizplus · Accepted Answer

The Answer is a. I need to calculate the regression coefficient and the intercept for this. The regression coefficient (b) is .4(3/12)

\rightarrow

.4(.25) = .10. The intercept (a) is 5.00 - (.10*45)

\rightarrow

a = 5 - 4.5

\rightarrow

.50. So the predicted value of Y when X is 35 is: 35(.10) + .50

\rightarrow

3.5 + .50 = 4.00. If someone is working 35 hours per week I would expect her life satisfaction score to be 4.00.
b. For every increase of one hour worked there is a corresponding increase of .10 units of life satisfaction, on average.

Suppose That I Have a Randomly Selected Sample of 42