Lesson_12n13_Workbook_F12_Version_Space_

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Unformatted text preview: ________________________________________________________________ _________________________________________________________________________________________________________ _________________________________________________________________________________________________________ _________________________________________________________________________________________________________ _________________________________________________________________________________________________________ _________________________________________________________________________________________________________ _________________________________________________________________________________________________________ 2 _________________________________________________________________________________________________________ _________________________________________________________________________________________________________ c. What is the estimated number of new visitors to a club if the size of the ad is 5 column ­inches and a $75 discount is offered? 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 A B SUMMARY OUTPUT Regression Statistics Multiple R 0.8465 R Square 0.7165 Adjusted R Square 0.6031 Standard Error 3.3749 Observations 8 ANOVA df Regression Residual Total Intercept Col-Inches Discount 2 5 7 C D E F Visitors Col-Inches Discount 23 4 100 30 7 20 20 3 40 26 6 25 20 2 50 18 5 30 17 4 25 31 8 80 SS MS F Significance F 143.924 71.962 6.318 0.043 56.951 11.390 200.875 Coefficients Standard Error 10.687 3.875 2.157 0.628 0.042 0.044 t Stat 2.758 3.434 0.949 P-value 0.040 0.019 0.386 G Lower 95% Upper 95% 0.726 20.648 0.542 3.771 -0.071 0.154 PROBLEM # 12.5 Pat Statsdud, a student ranking near the bottom of the statistics class, decided that a certain amount of studying could actually improve final grades. However, too much studying would not be warranted, since Pat’s ambition was to ultimately graduate with the absolute minimum level of work. Pat was registered in a statistics course, which had only 3 weeks to go before the final exam, and where the final grade was determined in the following way: Total mark= 20% (Assignment) + 30% (Midterm exam) + 50% (Final exam) To determine how much work to do in the remaining 3 weeks, Pat needed to be able to predict the final exam mark on the basis of the assignment mark (worth 20 points) and the midterm mark (worth 30 points). Pat’s marks on these were 12/20 and 14/30, respectively. Accordingly, Pat undertook the following analysis. The final exam mark, assignment mark, and midterm test mark for 30 students who took the statistics course last year were collected. a. Determine the regression equation. b. What is the standard error of estimate? Briefly describe how you interpret this statis...
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