1. What percentage of variation in weight is not explained by the regression model? Give your answer correct to 1 decimal place. 2. Use the ANOVA p-value to test the appropriate hypothesis at the 5% level of significance. For each one of the following questions, select the correct answer from the list below. | 15.1 State the decision about Ho v 15.2 State the conclusion about H1 A. Reject the null hypothesis B. Fail to reject the null hypothesis c. There is sufficient evidence for the alternative hypothesis D. There is insufficient evidence for the alternative hypothesis

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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At a fish market, different measurements of a certain type of fish were recorded for a sample of 35 fish. An analysist used the data to
develop a linear model of the relationship between the weight (in grams) of the fish, and its length, height and width (all in cm). The
results of the multiple linear regression to predict the weight of the fish are as follows:
Regression Statistics
Multiple R
R Square
0.971
0.943
Adjusted R Square
0.937
Standard Error
52.428
Observations
35
df
Significance F
ANOVA
MS
F
Regression
3
1402868
467622.7
170.1224
0.0000
Residual
31
85211
2748.742
Total
34
1488079
Coefficients
Standard Error
t Stat
P-value
-13.2
Intercept
Length
-1009.0
76.5
0.0000
12.8
7.5
1.7
0.0971
Height
63.1
15.9
3.9
0.0004
Width
51.6
34.0
1.5
0.1391
1. What percentage of variation in weight is not explained by the regression model? Give your
answer correct to 1 decimal place.
2. Use the ANOVA p-value to test the appropriate hypothesis at the 5% level of significance. For each one of the following questions, select the
correct answer from the list below.
v 15.1 State the decision about Ho
A. Reject the null hypothesis
15.2 State the conclusion about H1
B. Fail to reject the null hypothesis
c. There is sufficient evidence for the alternative hypothesis
D. There is insufficient evidence for the alternative hypothesis
Transcribed Image Text:At a fish market, different measurements of a certain type of fish were recorded for a sample of 35 fish. An analysist used the data to develop a linear model of the relationship between the weight (in grams) of the fish, and its length, height and width (all in cm). The results of the multiple linear regression to predict the weight of the fish are as follows: Regression Statistics Multiple R R Square 0.971 0.943 Adjusted R Square 0.937 Standard Error 52.428 Observations 35 df Significance F ANOVA MS F Regression 3 1402868 467622.7 170.1224 0.0000 Residual 31 85211 2748.742 Total 34 1488079 Coefficients Standard Error t Stat P-value -13.2 Intercept Length -1009.0 76.5 0.0000 12.8 7.5 1.7 0.0971 Height 63.1 15.9 3.9 0.0004 Width 51.6 34.0 1.5 0.1391 1. What percentage of variation in weight is not explained by the regression model? Give your answer correct to 1 decimal place. 2. Use the ANOVA p-value to test the appropriate hypothesis at the 5% level of significance. For each one of the following questions, select the correct answer from the list below. v 15.1 State the decision about Ho A. Reject the null hypothesis 15.2 State the conclusion about H1 B. Fail to reject the null hypothesis c. There is sufficient evidence for the alternative hypothesis D. There is insufficient evidence for the alternative hypothesis
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