In 1950, Americans slept an average of 8.1 hours per night, while in 1972 the average was 7.4 hours per night. In 2004, Americans slept an average of 6.9 hrs/night and in 1900 the average was 8.5 hrs/night. This data was used to find the estimated regression lineŷ = 8. 62 – 0. 016x 0. 01. Given SSR = 1.43 and MSE = 0.05, conduct a test for significance at a= Use the F-statistic and the p-value method. Determine the value of test statistics F: (Hint: Use the fact MSR=SSR and F=MSR/MSE) What is the p-value? (Round to four place decimal) (Hint: Use F distribution formula in excel: 1- F. DIST(F – value, df1, d f2,TRUE) with df1=1 and df2=2)

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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What is your conclusion?
Is there a statistically significant evidence (in the given significance level 0.01) of a
linear relationship between years and hours that Americans slept per night?
Type "Yes" or "No"
:0.05, then what is your conclusion
If we change the level of significance to a =
on the above statement?
Type "Yes" or "No"
Transcribed Image Text:What is your conclusion? Is there a statistically significant evidence (in the given significance level 0.01) of a linear relationship between years and hours that Americans slept per night? Type "Yes" or "No" :0.05, then what is your conclusion If we change the level of significance to a = on the above statement? Type "Yes" or "No"
In 1950, Americans slept an average of 8.1 hours per night, while in 1972 the
average was 7.4 hours per night. In 2004, Americans slept an average of 6.9
hrs/night and in 1900 the average was 8.5 hrs/night. This data was used to find the
estimated regression lineŷ = 8. 62 – 0.016x
0. 01.
Given SSR = 1.43 and MSE = 0.05, conduct a test for significance at a =
Use the F-statistic and the p-value method.
Determine the value of test statistics F:
(Hint: Use the fact MSR=SSR and F=MSR/MSE)
What is the p-value? (Round to four place decimal)
(Hint: Use F distribution formula in excel:
1 – F. DIST(F – value, df1, df2,TRUE)) with df1=1 and
df2=2)
Transcribed Image Text:In 1950, Americans slept an average of 8.1 hours per night, while in 1972 the average was 7.4 hours per night. In 2004, Americans slept an average of 6.9 hrs/night and in 1900 the average was 8.5 hrs/night. This data was used to find the estimated regression lineŷ = 8. 62 – 0.016x 0. 01. Given SSR = 1.43 and MSE = 0.05, conduct a test for significance at a = Use the F-statistic and the p-value method. Determine the value of test statistics F: (Hint: Use the fact MSR=SSR and F=MSR/MSE) What is the p-value? (Round to four place decimal) (Hint: Use F distribution formula in excel: 1 – F. DIST(F – value, df1, df2,TRUE)) with df1=1 and df2=2)
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