looking for help finding the p-value and part d/e...thank you! (there are two pictures attached bc I had to scroll for part d/e)

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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looking for help finding the p-value and part d/e...thank you! (there are two pictures attached bc I had to scroll for part d/e)

Draw a conclusion. Choose the correct answer below.
A. There is sufficient evidence of a significant linear relationship with at least one of the independent variables because the test statistic is less than the critical value.
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 level of significance.
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 critical value.
D. There is insufficient evidence of a significant linear relationship with at least one of the independent variables because the p-value is greater than the level of significance.
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.
.2
(Round to four decimal places as needed.)
%D
adj
(1,1)
More
O O
Transcribed Image Text:Draw a conclusion. Choose the correct answer below. A. There is sufficient evidence of a significant linear relationship with at least one of the independent variables because the test statistic is less than the critical value. 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 level of significance. 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 critical value. D. There is insufficient evidence of a significant linear relationship with at least one of the independent variables because the p-value is greater than the level of significance. 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. .2 (Round to four decimal places as needed.) %D adj (1,1) More O O
The ANOVA summary table to the right is for a multiple regression model with six independent variables. Complete parts (a) through (e).
Degrees of
Sum of
Source
Freedom
Squares
Regression
90
Error
22
180
Total
28
270
a. Determine the regression mean square (MSR) and the mean square error (MSE).
MSR = 15 (Round to four decimal places as needed.)
MSE = 8.1818 (Round to four decimal places as needed.)
b. Compute the overall F,
test statistic.
STAT
FSTAT
= 1.83 (Round to two decimal places as needed.)
c. Determine whether there is a significant relationship between Y and the six independent variables at the 0.05 level of significance.
State the null and alternative hypotheses. Choose the correct hypotheses below.
A. Ho: B1 = B2=
= B6 =
+ B6 #0
O B. Ho: B, # B2# • • • + P6 # 0
H4: At least one B; = 0, for j= 1, 2, ..., 6
H4: B, # B2#
O C. Ho: B, # B2#
H;: B1 = B2 = • • • = f6 = 0
D. Ho: B1 = B2 =
H,: At least one B; + 0, for j = 1, 2, .., 6
# B6 # 0
= P6
= 0
..
The p-value is
(Round to three decimal places as needed.)
Transcribed Image Text:The ANOVA summary table to the right is for a multiple regression model with six independent variables. Complete parts (a) through (e). Degrees of Sum of Source Freedom Squares Regression 90 Error 22 180 Total 28 270 a. Determine the regression mean square (MSR) and the mean square error (MSE). MSR = 15 (Round to four decimal places as needed.) MSE = 8.1818 (Round to four decimal places as needed.) b. Compute the overall F, test statistic. STAT FSTAT = 1.83 (Round to two decimal places as needed.) c. Determine whether there is a significant relationship between Y and the six independent variables at the 0.05 level of significance. State the null and alternative hypotheses. Choose the correct hypotheses below. A. Ho: B1 = B2= = B6 = + B6 #0 O B. Ho: B, # B2# • • • + P6 # 0 H4: At least one B; = 0, for j= 1, 2, ..., 6 H4: B, # B2# O C. Ho: B, # B2# H;: B1 = B2 = • • • = f6 = 0 D. Ho: B1 = B2 = H,: At least one B; + 0, for j = 1, 2, .., 6 # B6 # 0 = P6 = 0 .. The p-value is (Round to three decimal places as needed.)
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