The equation the least squares regression line es: y = 0.34x + 22.32 Is the corr

Question

The equation the least squares regression line es: y = 0.34x + 22.32 Is the correlation coefficient significant at the 5% level of significance? A. Yes, it is significant. B. No, it is not significant. C. The results are inconclusive. D. More data points are needed to test significance. Ariel's parents asked you to predict Ariel's height when she becomes 6 years old (72 months), based on the line of regression. How would you respond? A. 47 inches B. 48 inches C. 46 to 49 inches D. Ariel's height cannot be predicted from the line of regression. The interpretation of the slope is: A. On average, for every additional will increase by about 0.34 inches. B. At birth, Ariel's height was about 22.34 inches, for every additional inch increase in height, Ariel's age will increase by about 0.34 months. D. On average, Ariel's height increases 0.34 inches per additional month of age. The following table shows a sample of scores on a Math 10 quiz from three different classes. We are interested in knowing if the mean quiz scores are the same for each class. Assuming the assumptions for doing one-way ANOVA are met, what is the distribution for this test? A. F_3, 5 B. F_2, 4 C. F_2, 12 D. F_3, 15 If a test of a hypothesis has a Type I Error probability of 0.01, this means that A. if the null hypothesis is true, we reject it 1% of the time. B. if the null hypothesis is true, we don't reject it 1% of the time. C if the null hypothesis is false, we reject it 1% of the time. D. if the null hypothesis is false, we don't reject it 1% of the time.

Explanation / Answer

13)here r =(Sxy/(SSx*SSy)1/2 =0.994

for whcih test stat t =r((n-2)/(1-r2))1/2 =15.733

for which p value =0.0000

hence option A

14)ariel height =0.34*72+22.32=46.8

but as 72 months fall out of our range; option D is correct

15)option D is correct

16)option C is correct

17)option A is correct

x y (X-Xbar)^2 (Y-Ybar)^2 (X-Xbar)(Y-Ybar) Yi' (Y-Yi')^2 36.00 35.000 282.24 29.16 23.76 34.64865 0.123447772 48.00 38.000 23.04 5.76 -18.24 38.75676 0.572680789 54.00 41.000 1.44 0.36 8.16 40.81081 0.035792549 60.00 43.000 51.84 6.76 50.96 42.86486 0.018261505 66.00 45.000 174.24 21.16 117.76 44.91892 0.006574142 Total 264.00 202.00 532.80 63.20 182.40 0.756756757 mean 52.80 40.40 SSx Ssy Sxy

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