Determine if there is a linear relation among air temperature x wind speed x2, a

Question

Determine if there is a linear relation among air temperature x wind speed x2, and wind chill y. The following data show the measured values for various days. X11-5 | 10 |-10| 0 | 0 |-10|-15| 15 | -5| 5 |-15 15 |-15 15 | 2 10 45 20 5 20 15 35 15 25 40 50 10 25 25 yT-22/16 -351-11-22 -32-48 0131-22/ -52 3 -44 -4 - 22- 16-35-11-22-32480-31-2252 3444 (a) Find the least-squares regression equation y +bx, +b2x2, wherex is air temperature and x2 is wind speed, and y is the response variable, wind chill yxx2 (Round to three decimal places as needed.)

Explanation / Answer

(A) (work has done in minitab software)

The regression equation is
y = - 12.5 + 1.33 x1 - 0.414 x2

next part,

suppose equation is

y=-1.14x1-5.81x2-24.82

then the increment of one unit of x1 will decreses of y by 1.14 times while x2 holding contant

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