for two 9 12 17 3 19 57 56 41 12 15 Use the estimated regression equation: ŷ = 73.9561 – 3.1463x. a. Compute the mean square error using equation. ² = MSE = SSE (to 4 decimals) b. Compute the standard error of the estimate using equation. | SSE s = VMSE = n- 2 (to 4 decimals) c. Compute the estimated standard deviation of bi using equation. S = E (#; - 2)² (to 4 decimals)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 5PPS
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Given are five observations for two variables, x and y.

Use the estimated regression equation: y = 73.9561 - 3.1463x 

(NEED ANSWERS FOR A, B, C, D, E)

e. Use the F-test to test the hypotheses in part (d) at a 0.05 level of significance.
Complete the F table below using Excel. Calculate the Sum of Squares (to 1 decimal), the Mean Suares (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 -
Но.
0·
Transcribed Image Text:e. Use the F-test to test the hypotheses in part (d) at a 0.05 level of significance. Complete the F table below using Excel. Calculate the Sum of Squares (to 1 decimal), the Mean Suares (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 - Но. 0·
Given are five observations for two variables, x and y.
3
9
12
17
19
57
56
41
12
15
Use the estimated regression equation: ý = 73.9561 – 3.1463r,
a. Compute the mean square error using equation.
SSE
п - 2
s2 = MSE =
(to 4 decimals)
b. Compute the standard error of the estimate using equation.
SSE
8 = VMSE
n – 2
(to 4 decimals)
c. Compute the estimated standard deviation of b1 using equation.
(2; – 2)*
(to 4 decimals)
d. Use the t-test to test the following hypotheses (a = 0.05):
Ho: B1 = 0
H: 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 -
What is your conclusion?
We- Select your answer -
Ho.
Transcribed Image Text:Given are five observations for two variables, x and y. 3 9 12 17 19 57 56 41 12 15 Use the estimated regression equation: ý = 73.9561 – 3.1463r, a. Compute the mean square error using equation. SSE п - 2 s2 = MSE = (to 4 decimals) b. Compute the standard error of the estimate using equation. SSE 8 = VMSE n – 2 (to 4 decimals) c. Compute the estimated standard deviation of b1 using equation. (2; – 2)* (to 4 decimals) d. Use the t-test to test the following hypotheses (a = 0.05): Ho: B1 = 0 H: 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 - What is your conclusion? We- Select your answer - Ho.
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