NOVA       df SS Regression 3 45.9634 Residual 11 2.6218 Total

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
icon
Concept explainers
Question

A student used multiple regression analysis to study how family spending (y) is influenced by income (x1), family size (x2), and additions to savings (x3). The variables yx1, and x3 are measured in thousands of dollars. The following results were obtained.

 

 

ANOVA

 

 

 

df

SS

Regression

3

45.9634

Residual

11

2.6218

Total

 

 

 

 

Coefficients

Standard Error

Intercept

0.0136

 

x1

0.7992

0.074

x2

0.2280

0.190

x3

-0.5796

0.920

 

 

  1. Carry out a test to determine whether y is significantly related to the independent variables. Use a 5% level of significant 
  2. Carry out a test to see if x3 and y are significantly related. Use a 5% level of significance.
Expert Solution
Step 1

Given that,

Statistics homework question answer, step 1, image 1

Step 2

Statistics homework question answer, step 2, image 1

Step 3

Statistics homework question answer, step 3, image 1

Step 4

Statistics homework question answer, step 4, image 1

Step 5

The p-value is less than the level of significance 0.05.

So, we reject the null hypothesis.

Thus, we conclude that the variable y is significantly related to the independent variables. 

steps

Step by step

Solved in 9 steps with 7 images

Blurred answer
Knowledge Booster
Correlation, Regression, and Association
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
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