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.
yÌ‚ = bâ‚€ + bâ‚x
y
x
16
5
21
10
8
6
28
12
53
14
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 bâ‚ as an estimate of the population slope parameter βâ‚.The sample statistic bâ‚ is the estimator of the populationparameter βâ‚. The estimated measure of dispersion of the samplestatistic bâ‚ is,
a
0.929
b
1.239
c
1.549
d
1.936
16
The margin of error for a 95% confidence interval for β₠is,
a
4.77
b
4.34
c
3.94
d
2.96
17
To perform a hypothesis test with the null hypothesis H₀: β₠=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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