Fall 2016 Final ExamQ- 1:6R2=SSRSST=968.71681237.544=0.782R2→ (R)2= 0.882=0.782Fcalc=MSRMSE=322.905268.82728= 33.63tstat Displacement=- 0.0290730.01696= - 1.714Yi= 36.480 - 0.029073 Displ - 0.002074 Weight - 0.751995 Auto36.480 - 0.029073 * 250 - 0.002074 *3050 - 0.751995 *0 = 22.886Q- 7:12R = R2= 0.858 =0.926p-value for Global F test is < 0.005the exact p-value can be gleaned from the t-stat p-value which in case of simple linear regression is the same as the “Significance F”.Independent variable is Experience (not GMAT - typo)Salary = 12.658 + 2.085 × Experience=12.658 + 2.085 × 20=54.358 -> 54,358Q- 13:16df = (r-1)*(c-1)=(2-1)*(3-1)=2χ2crit α=0.05= 5.991RT.CTGT=381*3651000=139.065p-value for 15.1 is less than 0.005 (scan)Q- 17:19pwith=2455=0.4363 -> p1 pwithout=36149=0.2416 -> p2Ho: p1 < p2Ha: p1 > p2p-value = 0.0034Upper limit : Midpoint+ (Midpoint-Lower Limit)(0.4364-0.2416)+ ((0.4364-0.2416) - 0.0456)=0.344Pooled proportion = p =24+3655+149= 0.294Q- 21:22Sample std. deviation -> t-testtcalc = 4.6-40.2225=13.63df = n-1 = 25-1 = 24|tcrit,α2=0.025|=2.064Q- 23:25df=10-1=9tcrit,α=0.05=1.833Bottom > Surface -> μd> 0p-value < 0.005 (scan and look for t-stat = 4.86. off the charts)d = 0.5649-0.4845 = 0.0804Bottom is more polluted with lead than Surface (reject Ho)2
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