Model 1 ## ## Call: ## 1m (formula = mpg wt, data = mtcars) ## ## Residuals: ## Min 1Q Median 3Q 1.4096 Max 6.8727 ## -4.5432 -2.3647 -0.1252 ## ## Coefficients: ## #3#23 (Intercept) ## wt ## Estimate Std. Error t value Pr(>|t|) ##23 Signif. codes: ## 37.2851 -5.3445 1.8776 19.858 < 2e-16 *** 0.5591 -9.559 1.29e-10 *** *** 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 ## Residual standard error: 3.046 on 30 degrees of freedom ## Multiple R-squared: 0.7528, Adjusted R-squared: 0.7446 ## F-statistic: 91.38 on 1 and 30 DF, p-value: 1.294e-10 Model 2 ## ## Call: ## 1m(formula = mpg ## ## Residuals: ## Min ~ qsec, data = mtcars) 1Q Median 3Q Max 2.2774 11.6491 ## -9.8760 -3.4539 -0.7203 ## ## Coefficients: ## #3#23 (Intercept) ## qsec ## Estimate Std. Error t value Pr(>|t|) -5.1140 1.4121 10.0295 -0.510 0.6139 0.5592 2.525 0.0171 * ##23 Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ## ## Residual standard error: 5.564 on 30 degrees of freedom ## Multiple R-squared: 0.1753, Adjusted R-squared: 0.1478 ## F-statistic: 6.377 on 1 and 30 DF, p-value: 0.01708 Model 3 ## ## Call: ## 1m (formula = ## ## Residuals: ## Min ~ mpg hp, data = mtcars) 1Q Median 30 Max ## -5.7121 -2.1122 -0.8854 1.5819 8.2360 ## ## Coefficients: ## Estimate Std. Error t value Pr(>|t|) ##23 (Intercept) 30.09886. 1.63392 18.421 2e-16 *** 1 ## hp -0.06823 0.01012 -6.742 1.79e-07 *** ## ##23 Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 1 ## ## Residual standard error: 3.863 on 30 degrees of freedom ## Multiple R-squared: 0.6024, Adjusted R-squared: 0.5892 ## F-statistic: 45.46 on 1 and 30 DF, p-value: 1.788e-07 Model 4 ## ## Call: ## 1m (formula ## ## Residuals: ## Min = mpg ~ qsecwt + hp, data = mtcars) 1Q Median 3Q Max 5.6092 ##23 -3.8591 -1.6418 -0.4636 1.1940 ## ## Coefficients: ## Estimate Std. Error t value Pr(>|t|) ## (Intercept) 27.61053 8.41993 3.279 0.00278 ** ## qsec ## wt ## hp ## 0.51083 0.43922 1.163 0.25463 -4.35880 -0.01782 0.75270 0.01498 -5.791 3.22e-06 *** -1.190 0.24418 ##23 Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1'' 1 ## ## Residual standard error: 2.578 on 28 degrees of freedom ## Multiple R-squared: 0.8348, Adjusted R-squared: 0.8171 ## F-statistic: 47.15 on 3 and 28 DF, p-value: 4.506e-11

Model 1 ## ## Call: ## 1m (formula = mpg wt, data = mtcars) ## ## Residuals: ## Min 1Q Median 3Q 1.4096 Max 6.8727 ## -4.5432 -2.3647 -0.1252 ## ## Coefficients: ## #3#23 (Intercept) ## wt ## Estimate Std. Error t value Pr(>|t|) ##23 Signif. codes: ## 37.2851 -5.3445 1.8776 19.858 < 2e-16 * 0.5591 -9.559 1.29e-10 * * 0.001 '' 0.01 '' 0.05 '.' 0.1 ' ' 1 ## Residual standard error: 3.046 on 30 degrees of freedom ## Multiple R-squared: 0.7528, Adjusted R-squared: 0.7446 ## F-statistic: 91.38 on 1 and 30 DF, p-value: 1.294e-10 Model 2 ## ## Call: ## 1m(formula = mpg ## ## Residuals: ## Min ~ qsec, data = mtcars) 1Q Median 3Q Max 2.2774 11.6491 ## -9.8760 -3.4539 -0.7203 ## ## Coefficients: ## #3#23 (Intercept) ## qsec ## Estimate Std. Error t value Pr(>|t|) -5.1140 1.4121 10.0295 -0.510 0.6139 0.5592 2.525 0.0171 ##23 Signif. codes: 0 '' 0.001 '' 0.01 '' 0.05 '.' 0.1 ## ## Residual standard error: 5.564 on 30 degrees of freedom ## Multiple R-squared: 0.1753, Adjusted R-squared: 0.1478 ## F-statistic: 6.377 on 1 and 30 DF, p-value: 0.01708 Model 3 ## ## Call: ## 1m (formula = ## ## Residuals: ## Min ~ mpg hp, data = mtcars) 1Q Median 30 Max ## -5.7121 -2.1122 -0.8854 1.5819 8.2360 ## ## Coefficients: ## Estimate Std. Error t value Pr(>|t|) ##23 (Intercept) 30.09886. 1.63392 18.421 2e-16 * 1 ## hp -0.06823 0.01012 -6.742 1.79e-07 * ## ##23 Signif. codes: 0 '' 0.001 '' 0.01 '' 0.05 '.' 0.1 1 ## ## Residual standard error: 3.863 on 30 degrees of freedom ## Multiple R-squared: 0.6024, Adjusted R-squared: 0.5892 ## F-statistic: 45.46 on 1 and 30 DF, p-value: 1.788e-07 Model 4 ## ## Call: ## 1m (formula ## ## Residuals: ## Min = mpg ~ qsecwt + hp, data = mtcars) 1Q Median 3Q Max 5.6092 ##23 -3.8591 -1.6418 -0.4636 1.1940 ## ## Coefficients: ## Estimate Std. Error t value Pr(>|t|) ## (Intercept) 27.61053 8.41993 3.279 0.00278 ## qsec ## wt ## hp ## 0.51083 0.43922 1.163 0.25463 -4.35880 -0.01782 0.75270 0.01498 -5.791 3.22e-06 * -1.190 0.24418 ##23 Signif. codes: 0 '' 0.001 '' 0.01 '' 0.05 '.' 0.1'' 1 ## ## Residual standard error: 2.578 on 28 degrees of freedom ## Multiple R-squared: 0.8348, Adjusted R-squared: 0.8171 ## F-statistic: 47.15 on 3 and 28 DF, p-value: 4.506e-11

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 76E

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