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a. Interpret the effect of a three (3) unit increase in Length on the response of Weight. b. The p-value to test the null hypothesis that the slope on Length is 0 (H0 : β1 = 0), is approximately 0. What can you say about Length being a significant explanatory variable or covariate when explaining Weight?

a. Interpret the effect of a three (3) unit increase in Length on the response of Weight. b. The p-value to test the null hypothesis that the slope on Length is 0 (H0 : β1 = 0), is approximately 0. What can you say about Length being a significant explanatory variable or covariate when explaining Weight?

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. Interpret the effect of a three (3) unit increase in Length on the response of Weight.

b. The p-value to test the null hypothesis that the slope on Length is 0 (H0 : β1 = 0), is
approximately 0. What can you say about Length being a significant explanatory variable or
covariate when explaining Weight?

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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