Consider the following regression results:
Describe how the response y depends on the regressor x. What is the formula for the regression line? What is the B0 and B1, and what do these coefficients represent? The Residuals vs. fitted plot is used to assess what assumption? What does the above plot tell you about your data? (remember to round all answers to 3 decimal places)
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Consider the following regression results:
Describe how the response y depends on the regressor x. What...
> summaryCls) Call: Lm(formula y X) Residuals: -0.20283 -0.146910.02255 0.06655 0.44541 Coefficients: (Intercept) 0.36510 0.09904 3.686...
> summaryCls) Call: Lm(formula y X) Residuals: -0.20283 -0.146910.02255 0.06655 0.44541 Coefficients: (Intercept) 0.36510 0.09904 3.686 0.003586 ** Min 1Q Median 3Q Max Estimate Std. Error t value Pr(>ltl) 0.96683 0.18292 5.286 0.000258*** Signif. codes: 00.001*0.010.050.11 Residual standard error: 0.1932 on 11 degrees of freedom Multiple R-squared 0.7175, Adjusted R-squared: 0.6918 F-statistic: 27.94 on 1 and 11 DF, p-value: 0.0002581 > anovaCls) Analysis of Variance Table Response : y Df Sum Sq Mean Sq F value PrOF) 1 1.04275 1.04275...
Interpreting regression results 2. This is the result of a regression where goals is the dependent...
Interpreting regression results 2. This is the result of a regression where goals is the dependent variable and minutes played is the explanatory variable. a. Write out the simple linear regression equation that predicts goals based on time played using the output displayed here. If the average soccer player played one additional game (90 minutes), how many additional goals would you predict them to have scored? b. Call: 1m(formula goalstimeplayed, data -data) Residuals: Min 1Q Median 3Q Max 5.0572-1.6294 -0.3651...
please solve using matlab 4. Nonlinear Regression Fit the below data with the following curve-fit equation y bi (ebr + 2 1.0000 1.5431 3.7622 10.0677 27.3082 Define a function of the sum of squar...
please solve using matlab
4. Nonlinear Regression Fit the below data with the following curve-fit equation y bi (ebr + 2 1.0000 1.5431 3.7622 10.0677 27.3082 Define a function of the sum of squared residuals (fSSR) as a function of the regression coefficients, b's. Minimize the fSSR function and determine the regression coefficients. Guess what would be the built-in math function to generate the original data? Plot the function in the existing figure with a smooth dashed line, calculate the...
(13 points) Suppose you have a simple linear regression model such that Y; = Bo +...
(13 points) Suppose you have a simple linear regression model such that Y; = Bo + B18: +€4 with and N(0,0%) Call: 1m (formula - y - x) Formula: F=MSR/MSE, R2 = SSR/SSTO ANOVA decomposition: SSTOSSE + SSR Residuals: Min 1Q Modian -2.16313 -0.64507 -0.06586 Max 30 0.62479 3.00517 Coefficients: Estimate Std. Error t value Pr(> It) (Intercept) 8.00967 0.36529 21.93 -0.62009 0.04245 -14.61 <2e-16 ... <2e-16 .. Signif. codes: ****' 0.001 '** 0.01 '* 0.05 0.1'' 1 Residual standard...
How do I interpret the p-values in terms of rejecting or failing to reject H0 at...
How do I interpret the p-values in terms of rejecting or failing
to reject H0 at a 95% confidence level? What does the intercept
column mean in terms of p-value? How does the p-value of the F test
compare and what does it mean? In the simple linear regression I'd
conclude age isn't related to pulmonary disease (what does
intercept p-value mean) but for the multiple regression I'd say age
and height aren't related to pulmonary disease but smoking is...
A sample of 75 undergraduates were asked to participate in a study to investigate the relationship...
A sample of 75 undergraduates were asked to participate in a study to investigate the relationship between a person's grip strength (in newtons) and their forearm circumference (in centimeters). The following plot shows a scatterplot of these data. 24 26 28 30 Forearm.Circumference What is the most correct interpretation of this plot? OThere is a no clear relationship between grip strength and forearm circumference OThere is a weak negative relationship between grip strength and forearm circumference OThere is a moderate...
Question 2: Hypothesis testing (30 pts) Consider the following simple linear regression model with E[G-0 and...
Question 2: Hypothesis testing (30 pts) Consider the following simple linear regression model with E[G-0 and var(G)-σ2. The output of linear where €1, €2, . . . ,en regression from R takes the form are i.i.d. errors Cal1: lm(formula y ~ x + 1) Residuals: Min 1Q Median 3Q Max 2.0606-0.3287-0.1148 0.5902 1.2809 Coefficients: Estimate Std. Error t value Prlt (Intercept) 0.507932 0.340896 1.49 0.147 0.049656 0.003455 14.37 1.89e-14 Signif. codes: 0.0010.010.05 .'0.1''1 Residual standard error: 0.7911 on 28 degrees...
Decide (with short explanations) whether the following statements are true or false. e) In a simple linear regression model with explanatory variable x and outcome variable y, we have these summary s...
Decide (with short explanations) whether the following
statements are true or false.
e) In a simple linear regression model with explanatory variable x and outcome variable y, we have these summary statisties z-10, s/-3 sy-5 and у-20. For a new data point with x = 13, it is possible that the predicted value is y = 26. f A standard multiple regression model with continuous predictors and r2, a categorical predictor T with four values, an interaction between a and...
2.-Interpret the following regression model Call: lm(formula = Sale.Price ~ Lot.Size + Square.Feet + Num.Baths + API.2011 + dis_coast + I(dis_fwy * dis_down * dis_coast) + Pool, data = Train...
2.-Interpret the following regression model Call: lm(formula = Sale.Price ~ Lot.Size + Square.Feet + Num.Baths + API.2011 + dis_coast + I(dis_fwy * dis_down * dis_coast) + Pool, data = Training) Residuals: Min 1Q Median 3Q Max -920838 -84637 -19943 68311 745239 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -7.375e+05 7.138e+04 -10.332 < 2e-16 *** Lot.Size -5.217e-01 1.139e-01 -4.581 5.34e-06 *** Square.Feet 1.124e+02 1.086e+01 10.349 < 2e-16 *** Num.Baths 3.063e+04 9.635e+03 3.179 0.00153 ** API.2011 1.246e+03 8.650e+01 14.405 < 2e-16...
To investigate the impact of advertising medias (say youtube) on sales, we construct the fol- lowing...
To investigate the impact of advertising medias (say youtube) on sales, we construct the fol- lowing simple linear regression model Y; = Bo + B12; + &i with std N(0,0%) where Y is the sales and x is advertising budget in thousands of dollars. The summary table is given below: Formula: Call: 1m (formula = sales youtube, data = marketing) Residuals: Min 1Q Median 3Q Max -10.0632 -2.3454 -0.2295 2.4805 8.6548 F=MSR/MSE, R2 = SSR/SSTO ANOVA decomposition: SSTO = SSE...
> summaryCls) Call: Lm(formula y X) Residuals: -0.20283 -0.146910.02255 0.06655 0.44541 Coefficients: (Intercept) 0.36510 0.09904 3.686 0.003586 ** Min 1Q Median 3Q Max Estimate Std. Error t value Pr(>ltl) 0.96683 0.18292 5.286 0.000258*** Signif. codes: 00.001*0.010.050.11 Residual standard error: 0.1932 on 11 degrees of freedom Multiple R-squared 0.7175, Adjusted R-squared: 0.6918 F-statistic: 27.94 on 1 and 11 DF, p-value: 0.0002581 > anovaCls) Analysis of Variance Table Response : y Df Sum Sq Mean Sq F value PrOF) 1 1.04275 1.04275...
Interpreting regression results 2. This is the result of a regression where goals is the dependent variable and minutes played is the explanatory variable. a. Write out the simple linear regression equation that predicts goals based on time played using the output displayed here. If the average soccer player played one additional game (90 minutes), how many additional goals would you predict them to have scored? b. Call: 1m(formula goalstimeplayed, data -data) Residuals: Min 1Q Median 3Q Max 5.0572-1.6294 -0.3651...
please solve using matlab
4. Nonlinear Regression Fit the below data with the following curve-fit equation y bi (ebr + 2 1.0000 1.5431 3.7622 10.0677 27.3082 Define a function of the sum of squared residuals (fSSR) as a function of the regression coefficients, b's. Minimize the fSSR function and determine the regression coefficients. Guess what would be the built-in math function to generate the original data? Plot the function in the existing figure with a smooth dashed line, calculate the...
(13 points) Suppose you have a simple linear regression model such that Y; = Bo + B18: +€4 with and N(0,0%) Call: 1m (formula - y - x) Formula: F=MSR/MSE, R2 = SSR/SSTO ANOVA decomposition: SSTOSSE + SSR Residuals: Min 1Q Modian -2.16313 -0.64507 -0.06586 Max 30 0.62479 3.00517 Coefficients: Estimate Std. Error t value Pr(> It) (Intercept) 8.00967 0.36529 21.93 -0.62009 0.04245 -14.61 <2e-16 ... <2e-16 .. Signif. codes: ****' 0.001 '** 0.01 '* 0.05 0.1'' 1 Residual standard...
How do I interpret the p-values in terms of rejecting or failing
to reject H0 at a 95% confidence level? What does the intercept
column mean in terms of p-value? How does the p-value of the F test
compare and what does it mean? In the simple linear regression I'd
conclude age isn't related to pulmonary disease (what does
intercept p-value mean) but for the multiple regression I'd say age
and height aren't related to pulmonary disease but smoking is...
A sample of 75 undergraduates were asked to participate in a study to investigate the relationship between a person's grip strength (in newtons) and their forearm circumference (in centimeters). The following plot shows a scatterplot of these data. 24 26 28 30 Forearm.Circumference What is the most correct interpretation of this plot? OThere is a no clear relationship between grip strength and forearm circumference OThere is a weak negative relationship between grip strength and forearm circumference OThere is a moderate...
Question 2: Hypothesis testing (30 pts) Consider the following simple linear regression model with E[G-0 and var(G)-σ2. The output of linear where €1, €2, . . . ,en regression from R takes the form are i.i.d. errors Cal1: lm(formula y ~ x + 1) Residuals: Min 1Q Median 3Q Max 2.0606-0.3287-0.1148 0.5902 1.2809 Coefficients: Estimate Std. Error t value Prlt (Intercept) 0.507932 0.340896 1.49 0.147 0.049656 0.003455 14.37 1.89e-14 Signif. codes: 0.0010.010.05 .'0.1''1 Residual standard error: 0.7911 on 28 degrees...
Decide (with short explanations) whether the following
statements are true or false.
e) In a simple linear regression model with explanatory variable x and outcome variable y, we have these summary statisties z-10, s/-3 sy-5 and у-20. For a new data point with x = 13, it is possible that the predicted value is y = 26. f A standard multiple regression model with continuous predictors and r2, a categorical predictor T with four values, an interaction between a and...
To investigate the impact of advertising medias (say youtube) on sales, we construct the fol- lowing simple linear regression model Y; = Bo + B12; + &i with std N(0,0%) where Y is the sales and x is advertising budget in thousands of dollars. The summary table is given below: Formula: Call: 1m (formula = sales youtube, data = marketing) Residuals: Min 1Q Median 3Q Max -10.0632 -2.3454 -0.2295 2.4805 8.6548 F=MSR/MSE, R2 = SSR/SSTO ANOVA decomposition: SSTO = SSE...
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