Question
please help me with these questiones:: Below are the values for two variables x and y obtained from a sample of size 25.We want to
please help me with these questiones::
Below are the values for two variables x and y obtained from a sample of size 25.We want to build a regression equation based the sample data.
y = b + bx
yx
40.68.9
225.2
30.28.4
234.2
20.44.9
29.37.8
24.38.1
286.1
49.112.3
28.67.6
26.57.2
41.49.5
33.713.3
38.48.7
25.28.4
37.310
18.64.7
43.68.9
35.79.4
50.712.1
39.47.2
47.69.2
38.57.7
30.810.3
34.87.5
27.57.1
22.76.2
32.47.7
37.39.1
29.48
40.18.3
38.410.4
18.64.8
48.49.2
37.69.5
1The sum product of x and y is,
a9307.57
b9695.39
c10099.36
d10520.17
2The value in the numerator of the formula to compute the slope of the regression equation is,
a455.474
b474.452
c494.221
d514.813
3The sum of squared x is,
a2835.23
b2726.18
c2621.33
d2520.51
4The slope coefficient b is,
a2.9384
b3.1147
c3.3016
d3.4997
5The intercept coefficient is,
a9.8394
b9.1106
c8.4357
d7.8108
6The predicted value of y for x = 9.4 in the data set is,
a45.44
b42.46
c39.69
d37.09
7The observed y in the data set associated with x = 9.4 is 35.7.The prediction error is,
a-1.26
b-1.39
c-1.53
d-1.68
8Sum of prediction errors is,
a0.00
b-0.05
c0.50
d0.72
9Sum of squared errors (SSE) is,
a1399.03
b1307.50
c1221.96
d1142.02
10The variance of the prediction error is,
a42.3947
b39.6212
c37.0292
d34.6067
11On average the observed y deviate from the predicted y by,
a6.085
b5.157
c4.370
d3.704
12Sum of squares total (SST) is,
a3125.281
b2976.458
c2834.722
d2699.735
13Sum of squares regression (SSR) is,
a1629.244
b1551.661
c1477.772
d1407.402
14The fraction of variations in y explained by x is:
a0.5474
b0.5950
c0.6467
d0.7029
15The x and y data are sample data from the population of X and Y to compute b as an estimate of the population slope parameter .The sample statistic b is the estimator of the population parameter .The estimated measure of dispersion of the sample statistic b is,
a0.7499
b0.6520
c0.5670
d0.4930
16The margin of error for a 95% confidence interval for is,
a1.0031
b0.9119
c0.8290
d0.7536
17To perform a hypothesis test with the null hypothesis H: = 0, we need a test statistic.The test statistic for this hypothesis test is,
a5.5592
b6.3173
c7.1788
d8.1577
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