1 Test the utility of the model using the hypothesis test for slope of the equat
ID: 3275391 • Letter: 1
Question
1 Test the utility of the model using the hypothesis test for slope of the equation.
2. Calculate a 95% CI for the slope parameter 1hat and interpret it.
3: Calculate the numerical descriptive measures of model adequacy and interpret (Coefficient of Correlation and Coefficient of determination).
Child Midparent
61.7 70.5
61.7 68.5
61.7 65.5
61.7 64.5
61.7 64.0
62.2 67.5
62.2 67.5
62.2 67.5
62.2 66.5
62.2 66.5
62.2 66.5
62.2 64.5
63.2 70.5
63.2 69.5
63.2 68.5
63.2 68.5
63.2 68.5
63.2 68.5
63.2 68.5
63.2 68.5
63.2 68.5
63.2 67.5
63.2 67.5
63.2 67.5
63.2 67.5
63.2 67.5
63.2 66.5
63.2 66.5
63.2 66.5
63.2 65.5
63.2 65.5
63.2 65.5
63.2 65.5
63.2 65.5
63.2 65.5
63.2 65.5
63.2 65.5
63.2 65.5
63.2 64.5
63.2 64.5
63.2 64.5
63.2 64.5
63.2 64.0
63.2 64.0
64.2 69.5
64.2 69.5
64.2 69.5
64.2 69.5
64.2 69.5
64.2 69.5
64.2 69.5
64.2 69.5
64.2 69.5
64.2 69.5
64.2 69.5
64.2 69.5
64.2 69.5
64.2 69.5
64.2 69.5
64.2 69.5
64.2 68.5
64.2 68.5
64.2 68.5
64.2 68.5
64.2 68.5
64.2 68.5
64.2 68.5
64.2 68.5
64.2 68.5
64.2 68.5
64.2 68.5
64.2 67.5
64.2 67.5
64.2 67.5
64.2 67.5
64.2 67.5
64.2 67.5
64.2 67.5
64.2 67.5
64.2 67.5
64.2 67.5
64.2 67.5
64.2 67.5
64.2 67.5
64.2 67.5
64.2 66.5
64.2 66.5
64.2 66.5
64.2 66.5
64.2 66.5
64.2 65.5
64.2 65.5
64.2 65.5
64.2 65.5
64.2 65.5
64.2 64.5
64.2 64.5
64.2 64.5
64.2 64.5
64.2 64.0
64.2 64.0
64.2 64.0
64.2 64.0
65.2 71.5
65.2 70.5
65.2 69.5
65.2 69.5
65.2 69.5
65.2 69.5
65.2 68.5
65.2 68.5
65.2 68.5
65.2 68.5
65.2 68.5
65.2 68.5
65.2 68.5
65.2 68.5
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65.2 68.5
65.2 68.5
65.2 68.5
65.2 68.5
65.2 68.5
65.2 68.5
65.2 68.5
65.2 67.5
65.2 67.5
65.2 67.5
65.2 67.5
65.2 67.5
65.2 67.5
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65.2 67.5
65.2 67.5
65.2 67.5
65.2 67.5
65.2 67.5
65.2 67.5
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65.2 66.5
65.2 66.5
65.2 65.5
65.2 65.5
65.2 65.5
65.2 65.5
65.2 65.5
65.2 65.5
65.2 65.5
65.2 64.5
65.2 64.0
66.2 71.5
66.2 71.5
66.2 71.5
66.2 70.5
66.2 69.5
66.2 69.5
66.2 69.5
66.2 69.5
66.2 69.5
66.2 69.5
66.2 69.5
66.2 69.5
66.2 69.5
66.2 69.5
66.2 69.5
66.2 69.5
66.2 69.5
66.2 69.5
66.2 69.5
66.2 69.5
66.2 69.5
66.2 68.5
66.2 68.5
66.2 68.5
66.2 68.5
66.2 68.5
66.2 68.5
66.2 68.5
66.2 68.5
66.2 68.5
66.2 68.5
66.2 68.5
66.2 68.5
66.2 68.5
66.2 68.5
66.2 68.5
66.2 68.5
66.2 68.5
66.2 68.5
66.2 68.5
66.2 68.5
66.2 68.5
66.2 68.5
66.2 68.5
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66.2 68.5
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66.2 66.5
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66.2 66.5
66.2 66.5
66.2 66.5
66.2 66.5
66.2 65.5
66.2 65.5
66.2 65.5
66.2 65.5
66.2 65.5
66.2 65.5
66.2 65.5
66.2 65.5
66.2 65.5
66.2 65.5
66.2 65.5
66.2 64.5
66.2 64.5
66.2 64.5
66.2 64.5
66.2 64.5
66.2 64.0
66.2 64.0
67.2 71.5
67.2 71.5
67.2 71.5
67.2 71.5
67.2 70.5
67.2 70.5
67.2 70.5
67.2 69.5
67.2 69.5
67.2 69.5
67.2 69.5
67.2 69.5
67.2 69.5
67.2 69.5
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67.2 69.5
67.2 69.5
67.2 69.5
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67.2 69.5
67.2 69.5
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67.2 69.5
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67.2 69.5
67.2 69.5
67.2 69.5
67.2 69.5
67.2 69.5
67.2 68.5
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67.2 68.5
67.2 68.5
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67.2 68.5
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67.2 68.5
67.2 68.5
67.2 68.5
67.2 68.5
67.2 68.5
67.2 68.5
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67.2 68.5
67.2 68.5
67.2 68.5
67.2 68.5
67.2 68.5
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67.2 68.5
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67.2 68.5
67.2 68.5
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67.2 67.5
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67.2 67.5
67.2 67.5
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67.2 67.5
67.2 67.5
67.2 67.5
67.2 67.5
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67.2 67.5
67.2 67.5
67.2 67.5
67.2 67.5
67.2 67.5
67.2 67.5
67.2 67.5
67.2 67.5
67.2 67.5
67.2 67.5
67.2 67.5
67.2 67.5
67.2 67.5
67.2 67.5
67.2 67.5
67.2 66.5
67.2 66.5
67.2 66.5
67.2 66.5
67.2 66.5
67.2 66.5
67.2 66.5
67.2 66.5
67.2 66.5
67.2 66.5
67.2 66.5
67.2 66.5
67.2 66.5
67.2 66.5
67.2 66.5
67.2 66.5
67.2 66.5
67.2 65.5
67.2 65.5
67.2 65.5
67.2 65.5
67.2 65.5
67.2 65.5
67.2 65.5
67.2 65.5
67.2 65.5
67.2 65.5
67.2 65.5
67.2 64.5
67.2 64.5
67.2 64.5
67.2 64.5
67.2 64.5
67.2 64.0
67.2 64.0
68.2 72.5
68.2 71.5
68.2 71.5
68.2 71.5
68.2 70.5
68.2 70.5
68.2 70.5
68.2 70.5
68.2 70.5
68.2 70.5
68.2 70.5
68.2 70.5
68.2 70.5
68.2 70.5
68.2 70.5
68.2 70.5
68.2 69.5
68.2 69.5
68.2 69.5
68.2 69.5
68.2 69.5
68.2 69.5
68.2 69.5
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68.2 69.5
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68.2 69.5
68.2 68.5
68.2 68.5
68.2 68.5
68.2 68.5
68.2 68.5
68.2 68.5
68.2 68.5
68.2 68.5
68.2 68.5
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68.2 68.5
68.2 68.5
68.2 68.5
68.2 68.5
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68.2 68.5
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68.2 67.5
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68.2 67.5
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68.2 67.5
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68.2 67.5
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68.2 67.5
68.2 66.5
68.2 66.5
68.2 66.5
68.2 66.5
68.2 66.5
68.2 66.5
68.2 66.5
68.2 66.5
68.2 66.5
68.2 66.5
68.2 66.5
68.2 66.5
68.2 66.5
68.2 66.5
68.2 65.5
68.2 65.5
68.2 65.5
68.2 65.5
68.2 65.5
68.2 65.5
68.2 65.5
68.2 64.0
69.2 72.5
69.2 72.5
69.2 71.5
69.2 71.5
69.2 71.5
69.2 71.5
69.2 71.5
69.2 70.5
69.2 70.5
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69.2 69.5
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69.2 68.5
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69.2 67.5
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69.2 66.5
69.2 66.5
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69.2 66.5
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69.2 66.5
69.2 66.5
69.2 66.5
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69.2 66.5
69.2 66.5
69.2 65.5
69.2 65.5
69.2 65.5
69.2 65.5
69.2 65.5
69.2 65.5
69.2 65.5
69.2 64.5
69.2 64.5
69.2 64.0
70.2 72.5
70.2 71.5
70.2 71.5
70.2 71.5
70.2 71.5
70.2 71.5
70.2 71.5
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70.2 70.5
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70.2 69.5
70.2 69.5
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70.2 68.5
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70.2 67.5
70.2 66.5
70.2 66.5
70.2 66.5
70.2 66.5
70.2 65.5
70.2 65.5
70.2 65.5
70.2 65.5
70.2 65.5
71.2 72.5
71.2 72.5
71.2 71.5
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71.2 71.5
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71.2 70.5
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71.2 70.5
71.2 70.5
71.2 69.5
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71.2 68.5
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71.2 67.5
71.2 65.5
71.2 65.5
72.2 73.0
72.2 72.5
72.2 72.5
72.2 72.5
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72.2 72.5
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72.2 71.5
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72.2 71.5
72.2 70.5
72.2 70.5
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72.2 70.5
72.2 69.5
72.2 69.5
72.2 69.5
72.2 69.5
72.2 69.5
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72.2 68.5
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72.2 68.5
72.2 67.5
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72.2 67.5
72.2 67.5
72.2 65.5
73.2 73.0
73.2 73.0
73.2 73.0
73.2 72.5
73.2 72.5
73.2 71.5
73.2 71.5
73.2 70.5
73.2 70.5
73.2 70.5
73.2 69.5
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73.2 69.5
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73.2 68.5
73.2 68.5
73.2 68.5
73.7 72.5
73.7 72.5
73.7 72.5
73.7 72.5
73.7 71.5
73.7 71.5
73.7 70.5
73.7 70.5
73.7 70.5
73.7 69.5
73.7 69.5
73.7 69.5
73.7 69.5
73.7 69.5
61.7 70.5
Explanation / Answer
Regression Analysis: Child versus Midparent
Analysis of Variance
Source DF Adj SS Adj MS F-Value P-Value
Regression 1 1216.95 1216.95 239.97 0.000
Midparent 1 1216.95 1216.95 239.97 0.000
Error 927 4701.03 5.07
Lack-of-Fit 9 63.61 7.07 1.40 0.184
Pure Error 918 4637.42 5.05
Total 928 5917.98
Model Summary
S R-sq R-sq(adj) R-sq(pred)
2.25194 20.56% 20.48% 20.23%
Coefficients
Term Coef SE Coef T-Value P-Value VIF
Constant 24.33 2.83 8.61 0.000
Midparent 0.6405 0.0413 15.49 0.000 1.00
Regression Equation
Child = 24.33 + 0.6405 Midparent
Fits and Diagnostics for Unusual Observations
Obs Child Fit Resid Std Resid
1 61.700 69.484 -7.784 -3.46 R
2 61.700 68.203 -6.503 -2.89 R
3 61.700 66.281 -4.581 -2.04 R
5 61.700 65.321 -3.621 -1.61 X
6 62.200 67.562 -5.362 -2.38 R
7 62.200 67.562 -5.362 -2.38 R
8 62.200 67.562 -5.362 -2.38 R
9 62.200 66.922 -4.722 -2.10 R
10 62.200 66.922 -4.722 -2.10 R
11 62.200 66.922 -4.722 -2.10 R
13 63.200 69.484 -6.284 -2.79 R
14 63.200 68.843 -5.643 -2.51 R
15 63.200 68.203 -5.003 -2.22 R
16 63.200 68.203 -5.003 -2.22 R
17 63.200 68.203 -5.003 -2.22 R
18 63.200 68.203 -5.003 -2.22 R
19 63.200 68.203 -5.003 -2.22 R
20 63.200 68.203 -5.003 -2.22 R
21 63.200 68.203 -5.003 -2.22 R
43 63.200 65.321 -2.121 -0.95 X
44 63.200 65.321 -2.121 -0.95 X
45 64.200 68.843 -4.643 -2.06 R
46 64.200 68.843 -4.643 -2.06 R
47 64.200 68.843 -4.643 -2.06 R
48 64.200 68.843 -4.643 -2.06 R
49 64.200 68.843 -4.643 -2.06 R
50 64.200 68.843 -4.643 -2.06 R
51 64.200 68.843 -4.643 -2.06 R
52 64.200 68.843 -4.643 -2.06 R
53 64.200 68.843 -4.643 -2.06 R
54 64.200 68.843 -4.643 -2.06 R
55 64.200 68.843 -4.643 -2.06 R
56 64.200 68.843 -4.643 -2.06 R
57 64.200 68.843 -4.643 -2.06 R
58 64.200 68.843 -4.643 -2.06 R
59 64.200 68.843 -4.643 -2.06 R
60 64.200 68.843 -4.643 -2.06 R
100 64.200 65.321 -1.121 -0.50 X
101 64.200 65.321 -1.121 -0.50 X
102 64.200 65.321 -1.121 -0.50 X
103 64.200 65.321 -1.121 -0.50 X
104 65.200 70.125 -4.925 -2.19 R
151 65.200 65.321 -0.121 -0.05 X
267 66.200 65.321 0.879 0.39 X
268 66.200 65.321 0.879 0.39 X
405 67.200 65.321 1.879 0.84 X
406 67.200 65.321 1.879 0.84 X
407 68.200 70.765 -2.565 -1.14 X
526 68.200 65.321 2.879 1.28 X
527 69.200 70.765 -1.565 -0.70 X
528 69.200 70.765 -1.565 -0.70 X
693 69.200 65.321 3.879 1.73 X
694 70.200 70.765 -0.565 -0.25 X
793 71.200 70.765 0.435 0.19 X
794 71.200 70.765 0.435 0.19 X
855 71.200 66.281 4.919 2.19 R
856 71.200 66.281 4.919 2.19 R
857 72.200 71.085 1.115 0.50 X
858 72.200 70.765 1.435 0.64 X
859 72.200 70.765 1.435 0.64 X
860 72.200 70.765 1.435 0.64 X
861 72.200 70.765 1.435 0.64 X
862 72.200 70.765 1.435 0.64 X
863 72.200 70.765 1.435 0.64 X
864 72.200 70.765 1.435 0.64 X
893 72.200 67.562 4.638 2.06 R
894 72.200 67.562 4.638 2.06 R
895 72.200 67.562 4.638 2.06 R
896 72.200 67.562 4.638 2.06 R
897 72.200 66.281 5.919 2.63 R
898 73.200 71.085 2.115 0.94 X
899 73.200 71.085 2.115 0.94 X
900 73.200 71.085 2.115 0.94 X
901 73.200 70.765 2.435 1.09 X
902 73.200 70.765 2.435 1.09 X
912 73.200 68.203 4.997 2.22 R
913 73.200 68.203 4.997 2.22 R
914 73.200 68.203 4.997 2.22 R
915 73.700 70.765 2.935 1.31 X
916 73.700 70.765 2.935 1.31 X
917 73.700 70.765 2.935 1.31 X
918 73.700 70.765 2.935 1.31 X
924 73.700 68.843 4.857 2.16 R
925 73.700 68.843 4.857 2.16 R
926 73.700 68.843 4.857 2.16 R
927 73.700 68.843 4.857 2.16 R
928 73.700 68.843 4.857 2.16 R
929 61.700 69.484 -7.784 -3.46 R
R Large residual
X Unusual X
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