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Solutions_Activity_02

# Solutions_Activity_02 - ACTIVITY 2 Solutions Tim e to Chug...

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250 200 150 8 7 6 5 4 3 2 weight time S = 1.10466 R-Sq = 61.5 % R-Sq(adj) = 58.0 % time = 13.0028 - 0.0444460 weight Time to Chug vs. Weigjht of Person ACTIVITY 2 - Solutions Relationship Between Chug Time and Weight of a Person From Utts and Heckard. For a statistics class project at a large northeastern university, students examined the relationship between x = body weight (in pounds) and y = time to chug a 12 ounce beverage (in seconds). We’ll leave it to you to imagine the beverage. The student collected data from 13 individuals, and those data are displayed below. Student Weight Time 1 153 5.6 2 169 6.1 3 178 3.3 4 198 3.4 5 128 8.2 6 183 3.5 7 177 6.1 8 210 3.1 9 243* 4.0 10 208 3.2 11 157 6.3 12 163 6.9 13 158 6.7 2.1 Use Minitab on the dataset Chugging found in the Datasets folder in ANGEL. Do Stat>Regression>Fitted Line Plot. Click ‘Storage’ and then ‘Residuals’ and ‘Fits’. These will be stored in columns C4 and C5 and named as RESI1 and FITS1. Your output should look as follows: Regression Analysis: time versus weight The regression equation is Note: Explain this equation. Discuss slope time = 13.0028 - 0.0444460 weight as change in y per unit change in x in the context of this problem . S = 1.10466 R-Sq = 61.5 % R-Sq(adj) = 58.0 % Analysis of Variance Source DF SS MS F P Regression 1 21.4093 21.4093 17.5447 0.002 Error 11 13.4230 1.2203 Total 12 34.8323 Delete the big Guy! 1

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Regression Analysis: time versus weight The regression equation is time = 16.2509 - 0.0640304 weight S = 0.864635 R-Sq = 77.8 % R-Sq(adj) = 75.5 % Analysis of Variance Source DF SS MS F P Regression 1 26.1532 26.1532 34.9832 0.000 Error 10 7.4759 0.7476 Total 11 33.6292 The NOTE from above: The slope indicates “for a unit change in X, Y will change by the amount and direction of the slope”. So here, for a 1 pound increase in Weight the predicted time will decrease by 0.04445 seconds.
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