Simple Linear Regression � Supplemental Review Problem

Review of simple linear regression concepts with applied problems.

Amelia Ward

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1SimpleLinear Regression–SupplementalReviewProblemWe feel that the grade students get on the final exam are related to the amount of studying they do.Toexplore this, a sample of 17 students was gathered.GradeHrsStudied998975947946938924917865854826817803752733734722713Using Minitab, runcorrelation analysis andsimple linear regression to study the relationship betweenGrade and Hrs Studied. Answer the questions below:a.Analyze theMinitaboutput to determine the regression equation.b.Findthe coefficient of correlation.Interpret this value.c.Does this data provide significant evidence (alpha=0.05) that the Hours Studiedcan be used topredict Grade a student gets on the finalexam?Also interpret the p-value.d.Predict the exam grade if a person studies 5 hours.e.What is the 95%confidenceinterval for themeanexam Gradefor students studying7 hours?f.What conclusions are possible using the meaning ofö0andö1in this problem?(That is,explain the meaning of the coefficients.)g.What conclusions are possible using the coefficient of determination (r-squared)?h.What is the standard error? What does it mean?Solution:MINITAB OUTPUTRegression Analysis: Grade versus Hrs Studied

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