The equation for the least squares regression line is: y = 0.34x + 22.32 Is the

Question

The equation for the least squares regression line is: 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 arc 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 year, Ariel's height will increase by about 0.34 inches. B. At birth, Ariel's height was about 22.34 inches. C. On average, 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.

Explanation / Answer

13)

from above correlation r=Sxy/(SSx *SSy)1/2 =0.994

13) optionA is correct

14)option D; as 72 lies outside of our data, and extrapolation should not be done.

15)option D 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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