Determine if there is a linear relation among air temperature

x 1x1,

wind speed

x 2x2,

and wind chill y. The following data show the measured values for various days.

x 1x1

1515

negative 1010

negative 55

negative 1515

55

1515

1010

negative 55

negative 1010

00

negative 1515

00

negative 1515

1515

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x 2x2

1010

1515

1010

5050

4040

2525

4545

2525

2020

2020

2525

55

3535

1515

y

33

negative 3232

negative 2222

negative 5252

negative 2222

negative 44

negative 1616

negative 3131

negative 3535

negative 2222

negative 4444

negative 1111

negative 4848

00

(a) Find the least-squares regression equation

ModifyingAbove y with caret equals b 0 plus b 1 x 1 plus b 2 x 2

y=b0+b1x1+b2x2,

where

x 1x1

is air temperature and

x 2x2

is wind speed, and y is the response variable, wind chill.

ModifyingAbove y with caret

yequals=nothing plus+nothing x 1x1plus+nothing x 2x2

(Round to three decimal places as needed.)