Practice Problem Set

P redicted Score =

23.0 + 0.01*Brain Volume in CCs + 3.5*Hours of Studying – 0.04 75*(Hours Studying ) ²

Suppose you have a (roughly average) brain volume of 1200 cubic centimeters.

1. What is the predicted effect on your score of increasing the number of hours you spend studying from zero hours to one hour?
2. What is the predicted effect on your score of increasing the number of hours you spend studying from 15 to 16 hours.
3. Sketch a graph (by hand or in Excel) of Predicted Score vs. Hours of Studying given that your brain size is 1200CC. (It can be sketched as a simple 2D graph.) Be sure to show the correct Y-intercept.

1. (A) Using the 2008 NAES data, regress ae01_5 (favorability of Bush) on cba01_5 , cba02 _5 , whf02ra_a , whf02rb_a , whf02rc_a , whf02rd_a , ma01_5 , and ma06_5, and interpret the results.

1. Test the hypothesis that economic conditions affect ratings of Bush. (I.e., test the joint hypothesis that cba01_5 = cba02_5 = 0.)
2. Assuming that whf02ra_a , whf02rb_a , whf02rc_a , and whf02rd are the only kinds of pet ownership that might affect ratings of Bush, test the hypothesis that pet ownership (jointly) affects ratings of Bush.
3. Test the hypotheses that dog ownership has the same effect on ratings of Bush as cat ownership.
4. Run a VIF test to check for problematic multicollinearity. Interpret the results of the test.
5. Repeat (B) by using the homoscedasticity-only formula for F and the regression output from the (A) along with the regression output from a restricted regression than omits the two economic condition variables.
6. Repeat the regression from (A), but use ma02_5 as the measure of Party ID rather than ma01_5 . Treat ma02_5 as a continuous variable. You don’t have to interpret the results.
7. Repeat (G), but include Party ID by including dummy variables for the second and third categories of partisanship. You don’t have to interpret all of the results, but comment on the effect of including Party ID by using dummies vs. including Party ID by treating is a continuous variable.

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Solution: The downloadable solution consists of 9 pages, 944 words and 11 charts.
Deliverable: Word Document