1)Consider the following partial computer output for a multiple regression model.
Predictor Coefficient Standard Deviation

Constant 41.225 6.380
X1 1.081 1.353
X2 -18.404 4.547

Analysis of Variance
Source DF SS
Regression 2 2270.11
Error 26 3585.75
Find Total Sum of Squares, Explained Variation, SSE, MSE, R-Squared, and Test the overall usefulness of the model at 1% level of significance calculating the F-Statistic

2) At a recent meeting of educational researchers comparison were made between the type of college freshmen attend and the numbers who drop out. A random sample of freshmen show the following results: (keep two decimals in calculating expected frequencies)

4Yr public 4Yr private 2Yr public 2Yr private

drop out 10 9 15 9

don't drop 26 28 18 27

Use a significance level of .05 and determine if the type of school and the drop out rate are independent.

3) Test H0: mu=42 versus HA: mu is not equal to 42 when Xbar = 42.8, s=1.2 and n=16 at a=.01 and .05. Assume that the population from which the sample is selected is normally distributed. Indicate which test you are performing; show the test statistic and the critical values and mention whether one-tailed or two-tailed