Stats week 10 - r= 44.6 (10-1)(2.726)(2.011) = .904 b= .904...

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Sarah Anderson Stats week 10 2.) Data:(3,15),(3,12),(4,13),(4,11),(5,13),(6,7)…n=8 Linear: y = -1.742515x +19.11976 r = -.8908085 4.) Data:(1,10),(2,15),(3,30),(4,25),(5,40),n=5 Linear: y = 7x +3 r = .9271727 it is positive. 8.) t=rsqrt(n-2)/(1-r^2) t=(-0.46)sqrt(13)/(1-(-0.46)^2) t=-2.104 The critical t (with 13 degrees of freedom and 05 significance level).is -1.771 This is a one-tailed test ; critical t on the left. -2.104<-1.771 and falls in the critical region. Therefore, reject the null hypothesis. Conclusion: p < 0 10.) Letρ be the population correlation coefficient. H0:ρ=0 H1:ρ>0 r=0.86 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 0 5 10 15 20 25 30 35 40 45
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t=rsqrt(n-2)/sqrt(1-r^2) t=(0.86)sqrt(18)/sqrt(1-(0.86)^2) t=7.15 The critical t-value with 18 degrees of freedom and 5% level of significance is 2.101 Computed t = 7.15 > critical t of 2.101 Therefore, we reject the null hypothesis. The correlation in the population is greater than zero. 14 Data(3,15),(3,12),(4,13),(4,11),(5,13),(6,7)…n=8 a. Linear: y=-1.742515x+19.11976 r=-.8908085 b. X=7 then Y = 6.922155 15.) a. E(x-X) (Y-Y) = 44.6, Sx = 2.726. Sy = 2.011
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Unformatted text preview: r= 44.6 (10-1)(2.726)(2.011) = .904 b= .904 (2.011) =.0667 (2.726) a= 7.5 677(9.1) = .0667 b. Y = 1.333 + .667 (6) 5.335 17.) b. E(X-X)(Y-Y) = 629.64, Sx =26.17, Sy= 3.248 r= 629.64/(12-1)(27.17)(3.248) = .6734 c. r^2 = (.673)^2 = .4529 d. A strong positive association between the variables. About 45 percent of the variation in earnings is accounted for by sales. e. b =.6734(3.248/26.170) = .0836 a = 64.1/12 - .0836 (501.10/12) = 1.8507 f. Y = 1.8507 + .0836(50.0) = 6.0307 ($millions) 22.) Data:(3,15),(3,12),(4,13),(4,11),(5,13),(6,7)n=8 Linear:y=-1.742515x+19.11976 r=-.8908085 y = -1.742515*7 +19.11976 = -12.197605+19.11976 = 6.922155 23.)sq. Root 6.667/10-2 =.913 b. Y + 1.826 29.) a. 4.2939, 6.3721 b. 2.9854, 7.6806 33.) a. r^2 =1000/1500 =.667 b. .82, found by sq root of .667 c. 6.20, found by S y*x = sq rt. 500/ 15-2 10 20 30 40 50 60 70 80 90 100 2 4 6 8 10 12 14 Earnings...
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Stats week 10 - r= 44.6 (10-1)(2.726)(2.011) = .904 b= .904...

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