A professor investigated some of the factors that affect an…

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Question Answered step-by-step A professor investigated some of the factors that affect an… A professor investigated some of the factors that affect an individual student’s final grade in his course. He proposed the multiple regression model Image transcription textY = Bo+ BIX1+ B2X2 + B3X3+e… Show more, where Y is the final mark (out of 100), Image transcription text1… Show more is the number of lectures skipped, Image transcription textF… Show moreis the number of late assignments, and is the mid-term test mark (out of 100). The professor recorded the data for 50 randomly selected students. The computer output is as below. The regression equation is Image transcription textY = 41.6 – 3.18X, – 1.17X, +0.63X… Show more   PredictorCoefficientStandard Deviationt-statisticConstant41.617.82.337-3.181.66-1.916-1.171.13-1.0350.630.134.846Standard error of regression = 13.74, R-Sq = 0.30 ANALYSIS OF VARIANCESource of VariationdfSSMSFRegression33,7161,238.6676.558Error468,688188.870 Total4912,404  a) What is the coefficient of determination? What does this statistic tell you? Does the data provide enough evidence to conclude that, at the 5% significance level, the model is useful in predicting the final mark? Explain your answer. b) Interpret the estimated coefficient of . Does the data provide enough evidence to conclude that, at the 5% significance level, the final mark and the number of skipped lectures are linearly related? Explain your answer. Math Statistics and Probability ECON 2006 Share QuestionEmailCopy link Comments (0)

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