Is a linear relationship between S1 and S2 appropriate? Justify your response.Is the role of S1 significant in predicting S2, at α = 0.001?What is the sample correlation between S1 and S2? To examine whether there is any association between the performances on the twotests, T1 and T2 (test T1 was conducted before T2), and whether T2 scores could bepredicted in terms of T1 scores. A random sample of 150 students in Statistics majorwas selected. Let the scores be denoted S1 and S2 for tests T1 and T2, respectively.The tests had different maximum points. The following outputs using R codes wereobtained.fit<-lm (S2~S1)summary(fit)onCall:Im (formula = S2 *S1)20253035404550Residuals:Score: S1Min1QMedian3QМаx-13.0214-3.09340.29522.937914.5996Coefficients:Estimate Std. Error t value Pr(>[t])(Intercept) 0.101522.510030.040.968S10.267230.0192113.91<2e-16 ***Signif. codes:O ***' 0.001 **' 0.01 (*' 0.05 '.' 0.1 '? 1Residual standard error: 4.472 on 148 degrees of freedomMultiple R-squared:F-statistic: 193.6 on 1 and 148 DF,0.5667, Adjusted R-squared:0.5638p-value: < 2.2e-16plot (fit$fitted,fit$residuals, xlab="fitted values", ylab="residuals")qqnorm (fit$residuals)Normal Q-Q Plotoo000000O Go agod0000 0.of2530354045-22fitted valuesTheoretical Quantilesesiduals15Score:Sample Quantiles091

Answered: Is a linear relationship between S1 and…

Is a linear relationship between S1 and S2 appropriate? Justify your response. Is the role of S1 significant in predicting S2, at α = 0.001? What is the sample correlation between S1 and S2?

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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