Solved

The Printout Below Shows Part of the Least Squares Regression E(y)=β0+β1x1+β2x2E ( y ) = \beta _ { 0 } + \beta _ { 1 } x _ { 1 } + \beta _ { 2 } x _ { 2 }

Question 124

Essay

The printout below shows part of the least squares regression analysis for the model E(y)=β0+β1x1+β2x2E ( y ) = \beta _ { 0 } + \beta _ { 1 } x _ { 1 } + \beta _ { 2 } x _ { 2 } fit to a set of data. The model attempts to predict a score on the final exam in a statistics course based on the scores on the first two tests in the class.
ANOVA
dfSSMSF Significance F  Regression 21293.125328646.562664121.273667722.35769E05 Residual 17516.674671930.39262776 Total 191809.8\begin{array}{llllll}\hline & d f & S S & M S & F & \text { Significance F } \\\hline \text { Regression } & 2 & 1293.125328 & 646.5626641 & 21.27366772 & 2.35769 \mathrm{E}-05 \\\text { Residual } & 17 & 516.6746719 & 30.39262776 & & \\\text { Total } & 19 & 1809.8 & & & \\\hline\end{array}

 Coefficients  Standard Error t Stat  P-value  Lower 95%  Upper 95%  Intercept 4.40968616316.722671060.2636950850.79518468539.6914873430.87211502 Test 1 0.3974358060.3430125691.1586625140.2626117450.3262584671.121130079 Test 2 0.6388052780.2246233832.8438948340.0112179360.1648907041.112719852\begin{array}{lllllll}\hline & \text { Coefficients } & \text { Standard Error } & t \text { Stat } & \text { P-value } & \text { Lower 95\% } & \text { Upper 95\% } \\\hline \text { Intercept } & -4.409686163 & 16.72267106 & -0.263695085 & 0.795184685 & -39.69148734 & 30.87211502 \\\text { Test 1 } & 0.397435806 & 0.343012569 & 1.158662514 & 0.262611745 & -0.326258467 & 1.121130079 \\\text { Test 2 } & 0.638805278 & 0.224623383 & 2.843894834 & 0.011217936 & 0.164890704 & 1.112719852 \\\hline\end{array}
Is there evidence of multicollinearity in the printout? Explain.

Correct Answer:

verifed

Verified

Yes, there is evidence of mult...

View Answer

Unlock this answer now
Get Access to more Verified Answers free of charge

Related Questions

Unlock this Answer For Free Now!

View this answer and more for free by performing one of the following actions

qr-code

Scan the QR code to install the App and get 2 free unlocks

upload documents

Unlock quizzes for free by uploading documents