The table below reflects the height of a plant at the time of planting and each

Question

The table below reflects the height of a plant at the time of planting and each week interested if there is a linear relationship between the weeks since planting and height. The equation to predict height is y-hat = 9.5950 + 0.5764 x y-hat = -19.3091 + 1.9565 x y-hat = 0.5764 + 9.5950 x y-hat - 1.9565 - 19.3091 x The correlation coefficient is -0.9507 -0.9751 0.9507 0.9751 At 4.5 weeks the predicted height, in centimeters is 11.995 11.9350 12.1889 12.3950 Interpret the slope for every one week increase in time since planting, the height increases by 0.5764 centimeters for every one week increase in time since planting, the height increases by 9.5950 centimeters for every one week increase in time since planting, the height increases by 1.9565 centimeters for every one week increase in time since planting, the height increases by -19.3091 centimeters

Explanation / Answer

from above b1=Sxy/SSx =0.576

and bo=Ybar-Xbar*b1=9.595

hence 5) option B is correct

6)r=Sxy/(Sxx*Syy)1/2 =0.975 option D

7)predicted weight =12.189 option C

8)option A is correct

x y (X-Xbar)^2 (Y-Ybar)^2 (X-Xbar)(Y-Ybar) Yi' (Y-Yi')^2 0.00 9.500 9.00 3.33 20.66 9.595 0.009025 1.00 9.875 4.00 2.10 14.96 10.17143 0.0878699 2.00 10.820 1.00 0.25 4.70 10.74786 0.00520459 3.00 11.875 0.00 0.30 -4.58 11.32429 0.30328622 4.00 11.995 1.00 0.45 -4.91 11.90071 0.0088898 5.00 12.400 4.00 1.16 -6.80 12.47714 0.00595102 6.00 12.805 9.00 2.19 -7.88 13.05357 0.06178776 Total 21.00 79.27 28.00 9.79 16.14 0.48201429 mean 3.00 11.32 SSx Ssy Sxy

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