Model 1 ## ## Call: ## 1m (formula = Cost ## ## Residuals: ## Min ~ Distance, data = nor_df) 1Q Median 3Q Max 169590 ## -201296 -48458 -3049 49335 ## ## Coefficients: ## Estimate Std. Error t value Pr(>|t|) ## (Intercept) 765488.5 16242.5 47.13 ## Distance -6102.5 450.9 -13.53 <2e-16 *** <2e-16 *** ## ## Signif. codes: 0 ***** 0.001 **** 0.01 0.05 '.' 0.1 1 ## ## Residual standard error: 70970 on 248 degrees of freedom ## Multiple R-squared: 0.4248, Adjusted R-squared: 0.4225 ## F-statistic: 183.2 on 1 and 248 DF, p-value: <2.2e-16 Model 2 ## ## Call: ## 1m(formula = Cost ~ Home Size, data = nor_df) ## ## Residuals: ## Min 1Q Median 3Q Max 153610 ## -175173 -44115 -3414 43821 ## ## Coefficients: ## Estimate Std. Error t value Pr(>|t|) 299.27 ## (Intercept) -345269.80 54173.79 -6.373 8.95e-10 *** ## Home_Size ## 17.97 16.651 < 2e-16 *** ## Signif. codes: 0 **** 0.001 ** 0.01 ** 0.05 0.11 ## ## Residual standard error: 64300 on 248 degrees of freedom ## Multiple R-squared: 0.5278, Adjusted R-squared: 0.5259 ## F-statistic: 277.2 on 1 and 248 DF, p-value: <2.2e-16 Model 3 ## ## Call: ## 1m (formula = Cost ~ Distance + Home_Size, data = nor_df) ## ## Residuals: ## Min 1Q Median 3Q Max # # -4.456e-10 -1.495e-10 -5.530e-11 3.690e-11 1.203e-08 ## ## Coefficients: ## Estimate Std. Error t value Pr(>|t|) ## (Intercept) -1.628e+05 6.718e-10 -2.424e+14 <2e-16 *** ## Distance -6.441e+03 4.959e-12 -1.299e+15 <2e-16 *** ## Home_Size 3.128e+02 2.182e-13 1.433e+15 <2e-16 *** ## --- ##23 Signif. codes: 0***** 0.001 *** 0.01 '*' 0.05 '.' 0.1 ' ## ## Residual standard error: 7.797e-10 on 247 degrees of freedom ## Multiple R-squared: 1, Adjusted R-squared: 1 ## F-statistic: 1.786e+30 on 2 and 247 DF, p-value: <2.2e-16 Home Size Cost of Home Cost of Home $800,000- Cost and Size of Home $700,000- $600,000- $500,000- $400,000- $300,000- 2400 2700 3000 Size of Home 3300 3600 $800,000- Cost and Distance $700,000- $600,000- $500,000- $400,000- $300,000 $3,600 $3,300 $3,000 $2,700 $2,400 10 • 10 20 30 40 50 60 Distance • Home Size and Distance 20 30 40 50 60 Distance •

Model 1 ## ## Call: ## 1m (formula = Cost ## ## Residuals: ## Min ~ Distance, data = nor_df) 1Q Median 3Q Max 169590 ## -201296 -48458 -3049 49335 ## ## Coefficients: ## Estimate Std. Error t value Pr(>|t|) ## (Intercept) 765488.5 16242.5 47.13 ## Distance -6102.5 450.9 -13.53 <2e-16 * <2e-16 * ## ## Signif. codes: 0 *** 0.001 0.01 0.05 '.' 0.1 1 ## ## Residual standard error: 70970 on 248 degrees of freedom ## Multiple R-squared: 0.4248, Adjusted R-squared: 0.4225 ## F-statistic: 183.2 on 1 and 248 DF, p-value: <2.2e-16 Model 2 ## ## Call: ## 1m(formula = Cost ~ Home Size, data = nor_df) ## ## Residuals: ## Min 1Q Median 3Q Max 153610 ## -175173 -44115 -3414 43821 ## ## Coefficients: ## Estimate Std. Error t value Pr(>|t|) 299.27 ## (Intercept) -345269.80 54173.79 -6.373 8.95e-10 * ## Home_Size ## 17.97 16.651 < 2e-16 * ## Signif. codes: 0 0.001 0.01 0.05 0.11 ## ## Residual standard error: 64300 on 248 degrees of freedom ## Multiple R-squared: 0.5278, Adjusted R-squared: 0.5259 ## F-statistic: 277.2 on 1 and 248 DF, p-value: <2.2e-16 Model 3 ## ## Call: ## 1m (formula = Cost ~ Distance + Home_Size, data = nor_df) ## ## Residuals: ## Min 1Q Median 3Q Max # # -4.456e-10 -1.495e-10 -5.530e-11 3.690e-11 1.203e-08 ## ## Coefficients: ## Estimate Std. Error t value Pr(>|t|) ## (Intercept) -1.628e+05 6.718e-10 -2.424e+14 <2e-16 * ## Distance -6.441e+03 4.959e-12 -1.299e+15 <2e-16 * ## Home_Size 3.128e+02 2.182e-13 1.433e+15 <2e-16 * ## --- ##23 Signif. codes: 0*** 0.001 * 0.01 '*' 0.05 '.' 0.1 ' ## ## Residual standard error: 7.797e-10 on 247 degrees of freedom ## Multiple R-squared: 1, Adjusted R-squared: 1 ## F-statistic: 1.786e+30 on 2 and 247 DF, p-value: <2.2e-16 Home Size Cost of Home Cost of Home $800,000- Cost and Size of Home $700,000- $600,000- $500,000- $400,000- $300,000- 2400 2700 3000 Size of Home 3300 3600 $800,000- Cost and Distance $700,000- $600,000- $500,000- $400,000- $300,000 $3,600 $3,300 $3,000 $2,700 $2,400 10 • 10 20 30 40 50 60 Distance • Home Size and Distance 20 30 40 50 60 Distance •

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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