regression model with two independent variables. Complete Source Freedom Squares parts (a) through (e). Regression Error 260 19 110 Total 21 370 ... a. Compute the overall FSTAT test statistic. (need to compute MSR & MSE first) FSTAT = (Round to two 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. State the null and alternative hypotheses. Choose the correct hypotheses below. O A. Ho: B, = B2= 0 H,: B, # B2#0 O C. Ho: B, = B2= 0 H,: At least one B #0, for j= 1, 2 O B. Ho: B, # B2#0 H;: B, = B2 = 0 D. Ho: B, # P2#0 H,: At least one ß = 0, for j= 1, 2 Find the critical value from the table and draw a conclusion. Choose the correct answer below. O A. There is sufficient evidence of a significant linear relationship with at least one of the independent variables because the p-value is less than the level of significance. O B. 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 critical value. O C. There is sufficient evidence of a significant linear relationship with at least one of the independent variables because the test statistic is greater than the level of significance. OD. There is insufficient evidence of a sianificant linear relationship with at least one of the indenendent variables

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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Degrees of Sum of
regression model with two independent variables. Complete
parts (a) through (e).
Source
Freedom Squares
Regression
Error
2
260
19
110
Total
21
370
a. Compute the overall FSTAT test statistic. (need to compute MSR & MSE first)
FSTAT = (Round to two decimal places as needed.)
%3D
c. Determine whether there is a significant relationship between Y and the two independent variables at the 0.05 level of
significance.
State the null and alternative hypotheses. Choose the correct hypotheses below.
O A. Ho: B1 = B2 = 0
O B. Ho: B1 # P2#0
H;: B, = P2 = 0
OC. Ho: P, = P2= 0
H,: At least one B #0, for j= 1, 2
D. Ho: B, # P2#0
H1: At least one B = 0, for j= 1, 2
Find the critical value from the table and draw a conclusion. Choose the correct answer below.
O A. There is sufficient evidence of a significant linear relationship with at least one of the independent variables
because the p-value is less than the level of significance.
O B. 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 critical value.
OC. There is sufficient evidence of a significant linear relationship with at least one of the independent variables
because the test statistic is greater than the level of significance.
O D. There is insufficient evidence of a sianificant linear relationship with at least one of the independent variables
Transcribed Image Text:Degrees of Sum of regression model with two independent variables. Complete parts (a) through (e). Source Freedom Squares Regression Error 2 260 19 110 Total 21 370 a. Compute the overall FSTAT test statistic. (need to compute MSR & MSE first) FSTAT = (Round to two decimal places as needed.) %3D c. Determine whether there is a significant relationship between Y and the two independent variables at the 0.05 level of significance. State the null and alternative hypotheses. Choose the correct hypotheses below. O A. Ho: B1 = B2 = 0 O B. Ho: B1 # P2#0 H;: B, = P2 = 0 OC. Ho: P, = P2= 0 H,: At least one B #0, for j= 1, 2 D. Ho: B, # P2#0 H1: At least one B = 0, for j= 1, 2 Find the critical value from the table and draw a conclusion. Choose the correct answer below. O A. There is sufficient evidence of a significant linear relationship with at least one of the independent variables because the p-value is less than the level of significance. O B. 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 critical value. OC. There is sufficient evidence of a significant linear relationship with at least one of the independent variables because the test statistic is greater than the level of significance. O D. There is insufficient evidence of a sianificant linear relationship with at least one of the independent variables
The ANOVA summary table to the right is for a multiple
regression model with two independent variables. Complete
parts (a) through (e).
Degrees of Sum of
Freedom Squares
Source
Regression
Error
260
19
110
Total
21
370
O A. There is sufficient evidence of a significant linear relationship with at least one of the independent variables
because the p-value is less than the level of significance.
O B. 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 critical value.
O C. There is sufficient evidence of a significant linear relationship with at least one of the independent variables
because the test statistic is greater than the level of significance.
O D. There is insufficient evidence of a significant linear relationship with at least one of the independent variables
because the test statistic is greater than the critical value.
d. Compute the coefficient of multiple determination, r, and interpret its meaning.
= (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
variable can be explained.
by the variation in the
variables.
(Round to two decimal places as needed.)
e. Compute the adjusted r.
%3D
d =(Round to four decimal places as needed.)
adj
Transcribed Image Text:The ANOVA summary table to the right is for a multiple regression model with two independent variables. Complete parts (a) through (e). Degrees of Sum of Freedom Squares Source Regression Error 260 19 110 Total 21 370 O A. There is sufficient evidence of a significant linear relationship with at least one of the independent variables because the p-value is less than the level of significance. O B. 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 critical value. O C. There is sufficient evidence of a significant linear relationship with at least one of the independent variables because the test statistic is greater than the level of significance. O D. There is insufficient evidence of a significant linear relationship with at least one of the independent variables because the test statistic is greater than the critical value. d. Compute the coefficient of multiple determination, r, and interpret its meaning. = (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 variable can be explained. by the variation in the variables. (Round to two decimal places as needed.) e. Compute the adjusted r. %3D d =(Round to four decimal places as needed.) adj
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