Question

Given the estimated linear model shown below, complete the following computations.

ModifyingAbove y 14+6x1+5x2+4x3

a. Compute Modifying Above y with caret y when X1=24, x2=34, and x3=20.

b. Compute Modifying Above y with caret y wh X1=18, x2=15, and x3=12.

c. Compute Modifying Above y with caret y when X1=12, x2=11, and x3=18.

d. Compute ModifyingAbove y with caret y when X1=21, x2=18, and x3=22.

a. ModifyingAbove y with caret Y=__________-

Answer 1

Given that, y = 14 + 16x1 + 5x2 + 4x3

a) ModifyingAbove y with caret,

Y = 14 + (6 * 24) + (5 * 34) + (4 * 20)

=> Y = 14 + 144 + 170 + 80

=> Y = 408

b) ModifyingAbove y with caret,

Y = 14 + (6 * 18) + (5 * 15) + (4 * 12)

=> Y = 14 + 108 + 75 + 48

=> Y = 245

c) ModifyingAbove y with caret,

Y = 14 + (6 * 12) + (5 * 11) + (4 * 18)

=> Y = 14 + 72 + 55 + 72

=> Y = 213

d) ModifyingAbove y with caret,

Y = 14 + (6 * 21) + (5 * 18) + (4 * 22)

=> Y = 14 + 126 + 90 + 88

=> Y = 318