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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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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 4GP
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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
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.
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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