Siven are five observations for two variábles, a and y. 3 5 13 16 18 Yi 57 60 50 14 13 Use the estimated regression equation: ŷ = 73.0978 – 3.1180r. . Compute the mean square error using equation. SSE 2 = MSE = n - 2 (to 4 decimals) . Compute the standard error of the estimate using equation. SSE == VMSE = n - 2

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 6PPS
icon
Related questions
Question

Kindly compute the t-test statistics

d. Use the t-test to test the following hypotheses (a
= 0.05):
Но: В — 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
What is your conclusion?
- Select your answer -
v Ho.
We
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 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 Ho.
Transcribed Image Text:d. Use the t-test to test the following hypotheses (a = 0.05): Но: В — 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 What is your conclusion? - Select your answer - v Ho. We 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 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 Ho.
Given are five observations for two variables, x and y.
3
5
13
16
18
Yi
57
60
50
14
13
Use the estimated regression equation: ŷ = 73.0978 – 3.1180x.
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
п - 2
(to 4 decimals)
c. Compute the estimated standard deviation of b1 using equation.
Σ-
(to 4 decimals)
d. Use the t-test to test the following hypotheses (a = 0.05):
Но: В, — 0
Ha: B1 +0
Transcribed Image Text:Given are five observations for two variables, x and y. 3 5 13 16 18 Yi 57 60 50 14 13 Use the estimated regression equation: ŷ = 73.0978 – 3.1180x. 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 п - 2 (to 4 decimals) c. Compute the estimated standard deviation of b1 using equation. Σ- (to 4 decimals) d. Use the t-test to test the following hypotheses (a = 0.05): Но: В, — 0 Ha: B1 +0
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage