Question

Below are the values for two variables x and y obtained from a sample of size...

Below are the values for two variables x and y obtained from a sample of size 5. We want to build a regression equation based the sample data.

ŷ = b₀ + b₁x

y x
16 5
21 10
8 6
28 12
53 14

6

The predicted value of y for x = 12 is,

a

34.66

b

35.37

c

36.26

d

37.16

7

The prediction error for x = 12 is,

a

-4.96

b

-5.32

c

-6.14

d

-7.37

8

Sum of prediction errors is,

a

1.03

b

0.08

c

0

d

-0.04

9

Sum of squared errors (SSE) is,

a

272.74

b

280.38

c

288.23

d

296.30

10

The variance of the prediction error is,

a

90.9144

b

93.6418

c

96.4511

d

99.3446

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