Given are five observations for two variables, x and y. 5 8 14 18 20 Yi 50 57 41 21 16 Use the estimated regression equation: ŷ = 70.8476 – 2.6037x. %3D a. Compute the mean square error using equation. SSE = MSE %3D п — 2 (to 4 decimals) b. Compute the standard error of the estimate using equation. SSE s = MSE n – 2 (to 4 decimals) c. Compute the estimated standard deviation of bị using equation. (to 4 decimals) d. Use the t-test to test the following hypotheses (a = 0.10): Ho: B1 = 0 Ha: B1 +0 Compute the value of the t-test statistic (Enter negative values as negative numbers). (to 3 decimals) What is the p-value? Use Table 2 from Appendix B. p-value is - Select your answer -

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part d & e please!

Given are five observations for two variables, x and y.
8
14
18
Yi
50
57
41
16
Use the estimated regression equation: ŷ = 70.8476 – 2.6037x.
a. Compute the mean square error using equation.
SSE
= MSE
п — 2
(to 4 decimals)
b. Compute the standard error of the estimate using equation.
SSE
S =
/MSE
(to 4 decimals)
c. Compute the estimated standard deviation of b1 using equation.
S
(æ; – 7)?
(to 4 decimals)
d. Use the t-test to test the following hypotheses (a = 0.10):
Ho: B1
= 0
Ha: B1 + 0
Compute the value of the t-test statistic (Enter negative values as negative numbers).
(to 3 decimals)
What is the p-value? Use Table 2 from Appendix B.
p-value is
- Select your answer -
20
21
Transcribed Image Text:Given are five observations for two variables, x and y. 8 14 18 Yi 50 57 41 16 Use the estimated regression equation: ŷ = 70.8476 – 2.6037x. a. Compute the mean square error using equation. SSE = MSE п — 2 (to 4 decimals) b. Compute the standard error of the estimate using equation. SSE S = /MSE (to 4 decimals) c. Compute the estimated standard deviation of b1 using equation. S (æ; – 7)? (to 4 decimals) d. Use the t-test to test the following hypotheses (a = 0.10): Ho: B1 = 0 Ha: B1 + 0 Compute the value of the t-test statistic (Enter negative values as negative numbers). (to 3 decimals) What is the p-value? Use Table 2 from Appendix B. p-value is - Select your answer - 20 21
What is your conclusion?
We
Select your answer - v Họ.
e. Use the F-test to test the hypotheses in part (d) at a 0.10 level of significance.
Complete the F table below using Excel. Calculate the Sum of Squares (to 1 decimal), the Mean Squares (to 1 decimal), and the F ratio (to 2 decimals) and the
p-value (to 4 decimals).
Source
Degrees
Sum of
Mean
of Variation
of Freedom
Squares
Square
F
p-value
Regression
Error
Total
What is your conclusion, based on this F test?
We
- Select your answer - v Họ.
Transcribed Image Text:What is your conclusion? We Select your answer - v Họ. e. Use the F-test to test the hypotheses in part (d) at a 0.10 level of significance. Complete the F table below using Excel. Calculate the Sum of Squares (to 1 decimal), the Mean Squares (to 1 decimal), and the F ratio (to 2 decimals) and the p-value (to 4 decimals). Source Degrees Sum of Mean of Variation of Freedom Squares Square F p-value Regression Error Total What is your conclusion, based on this F test? We - Select your answer - v Họ.
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The Wall Street Journal asked Concur Technologies, Inc., an expense management company, to examine data from  million expense reports to provide insights regarding business travel expenses. Their analysis of the data showed that New York was the most expensive city. The following table shows the average daily hotel room rate () and the average amount spent on entertainment () for a random sample of  of the  most-visited U.S. cities. These data lead to the estimated regression equation . For these data . Click on the datafile logo to reference the data. Use Table 1 of Appendix B.

 

City Room Rate
($)
Entertainment
($)
Boston 148 161
Denver 96 105
Nashville 91 101
New Orleans 110 142
Phoenix 90 100
San Diego 102 120
San Francisco 136 167
San Jose 90 140
Tampa 82 98

a. Predict the amount spent on entertainment for a particular city that has a daily room rate of  (to  decimals).
 

b. Develop a  confidence interval for the mean amount spent on entertainment for all cities that have a daily room rate of  (to  decimals).
  to  

c. The average room rate in Chicago is . Develop a  prediction interval for the amount spent on entertainment in Chicago (to  decimals).
  to  

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