What is the R-squared (R2) value? Interpret this value in context of the study. b. What is the estimated
What is the R-squared (R2) value? Interpret this value in context of the study. b. What is the estimated
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
a. What is the R-squared (R2) value? Interpret this value in context of the study.
b. What is the estimated variance of the response, σ^2 ?
![Residuals:
Min
1Q Median
3Q
Max
-0.24348 -0.03186 0.03740 0.07727 0.12669
Coefficients:
an
Estimate Std. Error t value Pr(>|t|)
(Intercept) -8.4761 0.5007 -16.93 3.08e-10 ***
Length
13.7244
0.5320 25.80 1.49e-12 ***
f
Residual standard error: 0.1229 on 13 degrees of freedom
Multiple R-squared: 0.9808, Adjusted R-squared: 0.9794
F-statistic: 665.8 on 1 and 13 DF, p-value: 1.495e-12](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9b7d2580-6e0c-4034-b41e-8cf2c4a4e82e%2Fb443860a-48b2-4545-9664-f88dbd7fd4a9%2Famjb543_processed.png&w=3840&q=75)
Transcribed Image Text:Residuals:
Min
1Q Median
3Q
Max
-0.24348 -0.03186 0.03740 0.07727 0.12669
Coefficients:
an
Estimate Std. Error t value Pr(>|t|)
(Intercept) -8.4761 0.5007 -16.93 3.08e-10 ***
Length
13.7244
0.5320 25.80 1.49e-12 ***
f
Residual standard error: 0.1229 on 13 degrees of freedom
Multiple R-squared: 0.9808, Adjusted R-squared: 0.9794
F-statistic: 665.8 on 1 and 13 DF, p-value: 1.495e-12
![1. A study was conducted to investigate the relationship between an alligators weight (in pounds)
and its snout length (in inches). The response variable is the alligator's weight, and we want to
study if the covariate of snout length helps explain the response.
Data is collected on 14 alligators, and the linear regression output from R is below.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9b7d2580-6e0c-4034-b41e-8cf2c4a4e82e%2Fb443860a-48b2-4545-9664-f88dbd7fd4a9%2F21znun8_processed.png&w=3840&q=75)
Transcribed Image Text:1. A study was conducted to investigate the relationship between an alligators weight (in pounds)
and its snout length (in inches). The response variable is the alligator's weight, and we want to
study if the covariate of snout length helps explain the response.
Data is collected on 14 alligators, and the linear regression output from R is below.
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