Homework week 7 Randall Hall

Homework week 7 Randall Hall - b = n(∑ xy(∑ x(∑ y...

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Randall Hall MA120 - Mr. Spring Week 7 Homework Chapter 12, Number 12.32 Employee Baseline BMI (x) Two-Year BMI (y) (xy) (x*x) (y*y) 1 26.97 26.02 701.7594 727.3809 677.0404 2 25.64 25.87 663.3068 657.4096 669.2569 3 25.12 25.02 628.5024 631.0144 626.0004 4 25.57 25.46 651.0122 653.8249 648.2116 5 26.09 25.7 670.513 680.6881 660.49 6 26.17 26.1 683.037 684.8689 681.21 7 25.92 26.24 680.1408 671.8464 688.5376 8 25.68 26.57 682.3176 659.4624 705.9649 9 25.07 24.57 615.9699 628.5049 603.6849 10 25.7 25.18 647.126 660.49 634.0324 11 26.61 26.84 714.2124 708.0921 720.3856 12 26.34 26.31 693.0054 693.7956 692.2161 13 26.34 26.22 690.6348 693.7956 687.4884 14 25.7 25.61 658.177 660.49 655.8721 15 26.3 26.42 694.846 691.69 698.0164 16 25.84 25.16 650.1344 667.7056 633.0256 Sum 415.06 413.29 10724.6951 10771.0594 10681.4333 x bar = ∑ x / n = 415.06/10 = 41.506 y bar = ∑ y / n = 413.29/10 = 41.329
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Unformatted text preview: b = [ n (∑ xy )-(∑ x )(∑ y )]/[ n (∑ x ²)-(∑ x )²] b = [10(10724.6951)-(415.06)( 413.29)]/[10(10771.0594)-( 415.06)²] b = 0.995802424 a = y bar – b ( x bar) a = 41.329 – 0.995802424(41.506) a = 41.329 – 41.3317754 a = -0.0027754 ŷ = a + bx ŷ = -0.0027754 + 0.995802424( x ) answer to 12.28 (Joseph’s) r² = [a(∑∑y) + b(∑∑xy) – n(ybar)²]/∑[∑(y²)– n(ybar)²] r ² = [-0.0027754 ( 413.2 ) + 0.995802424 ( 10724.6951 ) – 10( 41.329 )²]/[ 413.29 2 – 10( 41.329 )²] r² = [1,860.89 + 13,310.10 – 14,364.10]/[ ???? – 10( 1708.08624 )] r² = r² = r² = r = ???? answer to 12.32 (my homework question)...
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