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

question 29

Essay

The printout below shows part of the least squares regression analysis for the model $E ( y ) = \beta _ { 0 } + \beta _ { 1 } x _ { 1 } + \beta _ { 2 } x _ { 2 }$ 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
$\begin{array}{llllll}\hline & d f & S S & M S & F & \text { Significance F } \\\hline \text { Regression } & 2 & 1293.125328 & 646.5626641 & 21.27366772 & 2.35769 \mathrm{E}-05 \\\text { Residual } & 17 & 516.6746719 & 30.39262776 & & \\\text { Total } & 19 & 1809.8 & & & \\\hline\end{array}$

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

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An individualized personnel record for managerial, professional, or technical personnel that includes all elements in the skills inventory with the addition of information on specialized duties, responsibilities, and accountabilities.

Additional Information

This term refers to extra or supplementary data provided beyond what was originally given or required.

Stochastic Probability

Involves randomness and uncertainty, it is the probability approach used to model and predict outcomes in situations where exact outcomes are unpredictable.

Transitional Probability

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