(20 pts) Below are the results of a linear regression model which is built on the Tips.csv data.Use the results to answer the following questions.> tipsmodel <- lm(formula> summary(tipsmodel)Call:lm(formulaResiduals:=tip~=tip total bill + size + smoker, data = D0)~total bill + size + smoker, data = DO)1Q Median3QMax4.0573Min-2.8965 -0.5601 -0.0722 0.5030Coefficients:Estimate Std. Error t value Pr(>Itl)total_billsize0.0939420.187122(Intercept) 0.687335 0.207385 3.314smoker Yes -0.0792150.009385 10.0100.088742 2.1090.139256 -0.569 0.570000.00106 **< 2e-16 ***0.03603 *Signif. codes:0 ***** 0.001 *** 0.01 *** 0.05' 0.1 '1Residual standard error: 1.019 on 237 degrees of freedom(3 observations deleted due to missingness)Multiple R-squared: 0.4713, Adjusted R-squared: 0.4646F-statistic: 70.41 on 3 and 237 DF, p-value: < 2.2e-16a) What is the linear regression equation obtained from R?b) What is the relationship between “tip” and “total_bill” in the linear regression model?c) What percent of the change in the dependent variable can be explained by the predictors?d) What is the RMSE, R² and adjusted R² in this model?

a) What is the linear regression equation obtained from R?From the output, the estimated…

Answered: (20 pts) Below are the results of a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Hello tutor, please help me to understand this 2 part MCQ question. Thank you. Part A) Based on Image 1, A researcher examined the relationship between weight (y axis) and height (x axis) among 475 male subjects. He graphed the relationship in the scatter diagram below. Weight is measured in pounds, and height in inches. The equation of the regression line is y = 3.86*x – 110.42. Is it reasonable to presume that if a male is 107 inches tall, his weight will be 302.6 pounds? a) Yesb) No Part B) Based on Image 2, A researcher examined the relationship between Variables X and Y among 150 male subjects, and he graphed a scatter plot as seen below. The correlation coefficient for all the 150 data points is about 0.5. Let K be the correlation coefficient for the data points with X values lying between 130 to 150. Which of the following statements is correct?a) K is less than 0.50.b) K is more than 0.50.c) None of the other options.
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Write the linear model to test the hypothesis that there is no treatment effect. Clearly describe each term in the model, and the range of the subscripts. Write the null hypothesis that you are testing. Call: lm(formula = score ~ list, data = hearing) Residuals: Min 1Q Median 3Q Max -14.7500 -5.5833 -0.2083 6.3333 16.4167 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 32.750 1.612 20.315 < 2e-16 *** listList2 -3.083 2.280 -1.352 0.17955 listList3 -7.500 2.280 -3.290 0.00142 ** listList4 -7.167 2.280 -3.144 0.00225 ** --- Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 Residual standard error: 7.898 on 92 degrees of freedom Multiple R-squared: 0.1382, Adjusted R-squared: 0.1101 F-statistic: 4.919 on 3 and 92 DF, p-value: 0.00325

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