Consider the following data for a dependent variable y and two independent variables, ¤1 and ¤2. 30 12 94 47 11 109 25 17 113 50 17 178 40 6 95 52 20 175 75 8 171 37 12 118 60 13 143 76 16 211 The estimated regression equation for these data is ŷ = -20.03 + 1.95x1 + 4.92x2 Here SST = 14,990.1, SSR = 13,918.4, 8, = 0.2382, and si, = 0.9506. a. Test for a significant relationship among #1, x2, and y. Use a = 0.05. F = 45.46 (to 2 decimals) The p-value is less than 0.01 At a = 0.05, the overall model is significant b. Is B1 significant? Use a = 0.05 (to 2 decimals). Use t table. te, = The p-value is less than 0.01

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

How would i solve for the tb1

Consider the following data for a dependent variable y and two independent variables, x1 and *2 .
x2
30
12
94
47
11
109
25
17
113
50
17
178
40
6
95
52
20
175
75
171
37
12
118
60
13
143
76
16
211
The estimated regression equation for these data is
ŷ = -20.03 + 1.95x1 + 4.92x2
Here SST = 14,990.1 , SSR = 13,918.4, 8i, = 0.2382, and sin = 0.9506.
a. Test for a significant relationship among a1, x2, and y. Use a = 0.05.
F =
45.46
(to 2 decimals)
The p-value is less than 0.01
At a = 0.05, the overall model is significant
b. Is B1 significant? Use a = 0.05 (to 2 decimals). Use t table.
te, =
The p-value is less than 0.01
Transcribed Image Text:Consider the following data for a dependent variable y and two independent variables, x1 and *2 . x2 30 12 94 47 11 109 25 17 113 50 17 178 40 6 95 52 20 175 75 171 37 12 118 60 13 143 76 16 211 The estimated regression equation for these data is ŷ = -20.03 + 1.95x1 + 4.92x2 Here SST = 14,990.1 , SSR = 13,918.4, 8i, = 0.2382, and sin = 0.9506. a. Test for a significant relationship among a1, x2, and y. Use a = 0.05. F = 45.46 (to 2 decimals) The p-value is less than 0.01 At a = 0.05, the overall model is significant b. Is B1 significant? Use a = 0.05 (to 2 decimals). Use t table. te, = The p-value is less than 0.01
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman