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HW7 AnsPage - 0.5906 of the total variation in sales price...

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Picon, Renee STAT 3331 Section 11052 HW 7 1. y hat = 3.2804 – 0.0703(x) where y = students GPA and x = hours worked per week 2. DF SS MS REG 1 3.5433 3.5433 ERR 8 1.6567 0.2071 TOT 9 5.2000 3. 0.6814 4. (-0.1273 GPA points, -0.0133 GPA points) 5. STEP1: H 0 : β 1 =0 H a : β 1 0 STEP2: F crit = 3.46 STEP3: Reject H 0 if F stat > 3.46 STEP4: F stat = 17.11 STEP5: Reject H 0 STEP6: TISETC β 1 0 STEP7: P-value < 0.005 6. (2.6731 GPA points, 3.6767 GPA points) 7a. y hat = 3.0344 7b. (2.3435 GPA points, 3.7251 GPA points) 8. For an increase of 100 lbs. in weight, the price increases by $1864.10. 9. 0.3677 10. ($8.2120/lb., $29.0700/lb.) 11. +0.7685 12a. 0.6612
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Picon, Renee STAT 3331 Section 11052 HW 7 12b. ($8339.9164, $1168.5826) 13. STEP1: H 0 : β 1 =0 H a : β 1 0 STEP2: t crit = -2.131 and 2.131 STEP3: Reject H 0 if t stat < -2.131 or t stat > 2.131 STEP4: t stat = 4.6514 STEP5: Reject H 0 STEP6: TISETC β 1 0 STEP7: P-value = .0003 14.
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Unformatted text preview: 0.5906 of the total variation in sales price is explained by the variation in weight. Picon, Renee STAT 3331 Section 11052 HW 7 SUMMARY OUTPUT Regression Statistics Multiple R R Square 0.5906 Adjusted R Square 0.5633 Standard Error 0.6064 Observations 17.0000 ANOVA df SS MS F Significance F Regression 1.0000 7.9552 7.9552 21.6357 0.0003 Residual 15.0000 5.5154 0.3677 Total 16.0000 13.4706 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept-5.4137-1.7068 0.1085-12.1741 1.3467 X Variable 1 1.8641 4.6514 0.0003 1.0099 2.7183 Predicted SE CI CI PI PI x Value Predicted Value Lower 95% Upper 95% Lower 95% Upper 95% 8.5000 10.4310 0.2004 10.0040 10.8581 9.0698 11.7922 8.0000 9.4990 0.2635 8.9373 10.0607 8.0897 10.9082...
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