Question

up An engineer wants to determine how the weight of a gas powered car, x, affects gas mileage, y. The accompanying data represent the weights of various domestic cars and their mies per gallon in the city for the most recent model year. Complete parts (a) through (d) below Click here to view the weight and gas mileage data. (a) Find the last-aquares regression line treating weight as the explanatory variable and miles per gallon as the response variable. y=-0.00708x + 43.16 (Round the x coefficient to five decimal places as needed. Round the constant to two decimal places as needed.) (b) Interpret the slope and y-intercopt, it appropriate. Choose the correct answer below and fill in any answer boxes in your choice. (Use the answer from part to find this answer) O A. For every pound added to the weight of the car, gas mileage in the city will decrease by mile(a) per gallon, on average. It is not appropriate to interpret the y-intercept. OB. For every pound added to the weight of the car, gas mileage in the city wil decrease by miles) per gallon, on average. A weightiess car will get miles per gallon, on average OC. A weightless car will get 1 miles per gallon, on average. It is not appropriate to interpret the slope. D. It is not appropriate to interpret the slope or the y-intercept.

Answer 1

S.NO (x) Y Y*Y X*Y 1 N 3 4 5 09 3755 3792 2758 3482 3391 3047 3654 2554 3517 3712 3263 36925 X®X 17 14100025 16 14379264 26 7606564 20 12124324 20 11498881 22 9284209 17 13351716 23 6522916 18 12369289 16 13778944 19 10647169 214 125663301 289 256 676 400 400 484 289 529 324 256 361 4264 63835 60672 71708 69640 67820 67034 62118 58742 63306 59392 61997 706264 8 D 10 11 SUM

o tbx n=1 El = s= 125663301 36925 Ey=214 {y²= ? 4264 Exy = 706264 == nexg EXEY (11 X 706264) – (36925 x214) 11 X 125663301 new? (ex)" - 369252 66523 qu20343 c -0.00706 Slope b = -0.00706 Q Ey-ber 214 -0.00706) a 36925 Y) 11 476.6905 intercept a = 43.15368 Ý = afbe = 43.15 368 0.007068 = 43.16 -0.00706 b) for change in weight of ar gas decrease by o. con ob milles per gallon on every Pound millage will average. A weightless per gallon Option Car will give 43.16 miles avevage B is correct