Consider the following partial computer output for a multiple regression model.
1) Consider the following partial computer output for a multiple regression model.
|
Predictor |
Coefficient |
Standard Deviation |
|
Constant |
41.225 |
6.38 |
|
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