Question

ur best saitbmission for each enie qton is used for your soore Do heavier cars really use more gasoline? Suppose a car is chosen at random, Let x be the weight of the car (in hundreds 2843 345 3 2125 1329 17 2114 Complete parts (a) through (e), given Σ 296, Zy 173, b. 11.672. Zy-4091, bys 5952, and r.-o Draw a scattor diagram displaying the data. Actions Vi Asi graphing tool (b) Verify the given sums Ex Ey, zzy, xy, and the value of the sample correlation coefficient r. (Round your value y-173 2x2 11872 P-0.895 (c) Find , and y. Then find the equation of the least-squares line y a + bx. (Round your answers for x and y to two de y a (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. 50 40
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Answer #1

a) Scatter diagram is correct

b) the calculation table is given below:

Find X.Y, X2 and Y2 as it was done in the table below 28 43 29 47 23 40 34 52 21 25 13 29 17 21 14 924 903 725 611 667 680 714 728 784 1849 841 2209 529 1600 1156 2704 1089 441 625 169 841 289 441 196 Find the sum of every column to get: Σ X-296, ΣΥ-173, ΣΧ. Y-5952, ΣΧ2-11672 , ΣΥ2-4091 Use the following formula to work out the correlation coefficient. 8.5952 296 173 -0.8946 8.11672 296. 8.4091 1732

c)

. 296

\overline{Y} =\frac{1}{n}\sum Y =\frac{173}{8}=21.625\approx 21.63

The least square line is

\widehat{y}= 44.70+(-0.62)X

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