In a regression analysis involving 18 observations and 4 independent variables, the following information was obtained. Multiple R = .6000 R Square = .3600 Standard Error = 4.8000 a) Based on the above information, fill in all the blanks in the following ANOVA table. b) Is the model significant?
I have a homework question re multiple regression analysis. Can you discuss how to solve this problem?
1) In a regression analysis involving 18 observations and 4 independent variables, the following information was obtained.
Multiple R = .6000
R Square = .3600
Standard Error = 4.8000
a) Based on the above information, fill in all the blanks in the following ANOVA table.
b) Is the model significant?
2) Multiple regression analysis was used to study the relatinoship between a dependent variable, y, and 4 independent variables. The following is a partial result of the regression analysis involving 31 observations.
coefficients standard error
intercept 18.00 6.00
x1 12.00 8.00
x2 24.00 48.00
x3 -36.00 36.00
x4 16.00 2.00
ANOVA
regression MS 125
error
total SS 760
a) compute the multiple coefficient of determination
b) perform a t-test and determine whether or not b1 is significantly different from zero ( alpha = .05)
c) perform a t test and determine whether or not b4 is significantly different from zero (alpha = .05)
d) at alpha = .05, perform an F test and determine whether or not the regression model is significant.
There is also a Q3, but it is too long to write out.
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