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

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Statistics

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

ŷ = b₀ + b₁x

yx
165
2110
86
2812
5314

11

On average the observed y deviate from the predicted y by,

a

10.73

b

10.04

c

9.53

d

8.76

12

Sum of squares total (SST) is,

a

1096.3

b

1178.8

c

1296.7

d

1361.5

13

Sum of squares regression (SSR) is,

a

906.06

b

983.56

c

1008.47

d

1065.20

14

The fraction of variations in y explained by x is:

a

0.5534

b

0.6149

c

0.7686

d

0.8455

15

The x and y data are sample data from the population of X and Yto compute b₁ as an estimate of the population slope parameter β₁.The sample statistic b₁ is the estimator of the populationparameter β₁. The estimated measure of dispersion of the samplestatistic b₁ is,

a

0.929

b

1.239

c

1.549

d

1.936

16

The margin of error for a 95% confidence interval for β₁ is,

a

4.77

b

4.34

c

3.94

d

2.96

17

To perform a hypothesis test with the null hypothesis H₀: β₁ =0, we need a test statistic. The test statistic for this hypothesistest is,

a

1.741

b

2.123

c

2.589

d

3.157

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