The ANOVA summary table to the right is for a multiple regression model with five independent variables. Complete parts (a) through (e). Source Degrees of Freedom Sum of Squares Regression 5 270 Error 28 110 Total 33 380 a. Determine the regression mean square (MSR) and the mean square error (MSE). b. Compute the overall FSTAT test statistic. FSTAT=_______________________ (Round to four decimal places as needed.) c. Determine whether there is a significant relationship between Y and the two independent variables at the 0.05 level of significance. Choose the correct answer below. A.There is insufficient evidence of a linear relationship because the test statistic is greater than the critical value. B.There is sufficient evidence of a linear relationship because the test statistic is less than the critical value. C.There is sufficient evidence of a linear relationship because the test statistic is greater than the critical value. D.There is insufficient evidence of a linear relationship because the test statistic is lessthan the critical value. d. Compute the coefficient of multiple determination, r2, and interpret its meaning. r2=_____________________ (Round to four decimal places as needed.) Interpret the meaning of the coefficient of multiple determination. The coefficient of multiple determination indicates that_______________________ % of the variation in the (1) _________________ variable can be explained by the variation in the (2)___________________variables. e. Compute the adjusted r2. r2adj=_____________________ (Round to four decimal places as needed.)
From the table we have
a. Determine the regression mean square? (MSR) and the mean square error? (MSE).
b. Compute the overall FSTAT test statistic.
c. Determine whether there is a significant relationship between Y and the two independent
Critical value of F test using excel function "=FINV(0.05,5,28)" : 2.558
Since Fstat > 2.558 so we reject the null hypothesis.
Following option is correct:
B.There is sufficient evidence of a linear relationship because the test statistic is less than the critical value.
----------
d:
The coefficient of multiple determination indicates that 71.05?% of the variation in the (1) dependent variable can be explained by the variation in the (2) independent variables.
------------------
(e)
Here we have k-1=5
n-k=28
So adjusted R square will be
The ANOVA summary table to the right is for a multiple regression model with five independent variables. Complete parts (a) through (e). Source Degrees of Freedom Sum of Squares Regression 5 270 Err...
The ANOVA summary table to the right is for a multiple regression model with five independent variables. Complete parts (a) through (e). Source Degrees of Freedom Sum of Squares Regression 5 270 Error 28 110 Total 33 380 a. Determine the regression mean square (MSR) and the mean square error (MSE). b. Compute the overall FSTAT test statistic. FSTAT=_______________________ (Round to four decimal places as needed.) c. Determine whether there is a significant relationship between Y and the two independent...
INDEPENDENT OR DEPENDENT ARE IN THE DROP DOWN BOXES.
Degrees of Sum of The ANOVA summary table to the right is for a multiple regression model with two independent variables. Complete parts (a) through (e) Source Freedom Squares Regression Eror Total 15 17 70 160 230 Draw a conclusion. Choose the correct answer below o A. There is insufficient evidence of a significant linear relationship with at least one of the independent variables because the test statistic is less than...
The ANOVA summary table to the right is for a multiple regression model with nine independent variables. Complete parts (a) through (e) Degrees of Source Freedom Squares Sum of Regression Error Total 260 180 440 19 28 5909 (Round to four decimal places as needed.) Interpret the meaning of the coefficient of multiple determination The coefficient of multiple determination indicates that 59.09% of the variation in the dependent variable can be explained by the variation in the independent variables e....
Drop down options are durability, impact properties, shock
absorbing capabilities, the two independent variables.
A regression analysis is performed to predict the durability of a brand of running shoe, based on the shock-absorbing capability and the change in impact properties over time. The resulting ANOVA table is below. Complete parts (a) through (d). Degrees of Sum of Freedom Squares Regression Error Total 10.45577 6.46314 16.91891 Mean Square 5.22789 0.28101 p-value 0.00002 18.60 2 23 25 a. Determine whether there is...
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*ANSWERS IN BOX ARE INCORRECT*
Consider the following ANOVA table for a multiple regression model. Complete parts a through e below. Source Regression 3 3,600 1200 20 Residual 35 2,100 60 Total df SSMSF 38 5,700 a. What is the size of this sample? n41 b. How many independent variables are in this model? c. Calculate the multiple coefficient of determination. R0.5882 Round to four decimal places as needed.) d. Test the significance of the overall regression model using α=0.05...
The following ANOVA model is for a multiple regression model
with two independent variables:
Degrees
of
Sum
of
Mean
Source
Freedom
Squares
Squares
F
Regression
2
60
Error
18
120
Total
20
180
Determine the Regression Mean Square (MSR):
Determine the Mean Square Error (MSE):
Compute the overall Fstat test statistic.
Is the Fstat significant at the 0.05 level?
A linear regression was run on auto sales relative to consumer
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