State relevant hypothesis related to F-value, and using p-value (2.2e-16 is 0.00000000000000022 (close to 0)), what can be said about the model?

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

State relevant hypothesis related to F-value, and using p-value (2.2e-16 is 0.00000000000000022 (close to 0)), what can be said about the model?

## Call:
## 1m (formula = wage
##
##
## Residuals:
##
Min
draft + position, data = nba)
age + points + marr + rebounds + assists +
1Q Median
3Q
## -1.72741 -0.41364 -0.03309 0.34602
##
## Coefficients:
##
Estimate Std. Error t value Pr(>|t|)
## (Intercept)
-1.427068
0.372852
## age
0.080062
0.013126
## points
0.078120
0.011214
## marrl
-0.010617 0.090496 -0.117 0.906697
## rebounds
0.048896 0.022738
2.150 0.032442 *
## assists
0.032647
## draft
-0.003525
0.028187 1.158 0.247826
0.001087 -3.243 0.001336 **
0.118287 -2.438 0.015419 *
0.152804 -2.793 0.005612 **
## position forward
-0.288433
## positionguard -0.426756
##
## Signif. codes:
##
I
***
0
**
0.001
Max
2.57957
-3.827 0.000162 **
6.099 3.82e-09 ***
6.966 2.64e-11 ***
'*'
0.01
0.05 '.' 0.1
## Residual standard error: 0.6692 on 261 degrees of freedom
## (23 observations deleted due to missingness)
## Multiple R-squared: 0.567, Adjusted R-squared: 0.5538
## F-statistic: 42.73 on 8 and 261 DF, p-value: < 2.2e-16
I
I
1
Transcribed Image Text:## Call: ## 1m (formula = wage ## ## ## Residuals: ## Min draft + position, data = nba) age + points + marr + rebounds + assists + 1Q Median 3Q ## -1.72741 -0.41364 -0.03309 0.34602 ## ## Coefficients: ## Estimate Std. Error t value Pr(>|t|) ## (Intercept) -1.427068 0.372852 ## age 0.080062 0.013126 ## points 0.078120 0.011214 ## marrl -0.010617 0.090496 -0.117 0.906697 ## rebounds 0.048896 0.022738 2.150 0.032442 * ## assists 0.032647 ## draft -0.003525 0.028187 1.158 0.247826 0.001087 -3.243 0.001336 ** 0.118287 -2.438 0.015419 * 0.152804 -2.793 0.005612 ** ## position forward -0.288433 ## positionguard -0.426756 ## ## Signif. codes: ## I *** 0 ** 0.001 Max 2.57957 -3.827 0.000162 ** 6.099 3.82e-09 *** 6.966 2.64e-11 *** '*' 0.01 0.05 '.' 0.1 ## Residual standard error: 0.6692 on 261 degrees of freedom ## (23 observations deleted due to missingness) ## Multiple R-squared: 0.567, Adjusted R-squared: 0.5538 ## F-statistic: 42.73 on 8 and 261 DF, p-value: < 2.2e-16 I I 1
Expert Solution
Step 1: Write the given information

Given the R output of the multiple regression model for wage as

Statistics homework question answer, step 1, image 1



steps

Step by step

Solved in 3 steps with 8 images

Blurred answer
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