In: Statistics and Probability
The following problem makes use of the dataset found here: FRq2B.csv
Part a: Find the equation of the regression line and the coefficient of determination for x and z.
Part b: Determine at the 5% significance level if x can be used to predict z.
Part c: Find the equation of the regression line and the coefficient of determination for y and z.
Part d: Determine at the 5% significance level if y can be used to predict z.
x | y | z | |
6.30603885 | -9.1803807 | 12.5692302 | |
4.51984917 | -3.6171201 | -75.191565 | |
3.99288829 | -10.362164 | -79.39743 | |
10.6339344 | -20.212914 | 33.1637401 | |
8.44497326 | -12.864179 | 0.0889606 | |
8.08713485 | 4.7547931 | 11.8453258 | |
11.4490152 | 31.8429513 | -4.7138854 | |
8.96126846 | 24.2141505 | -28.092744 | |
13.1685092 | 38.6756968 | 18.1974176 | |
14.2526611 | 64.0342312 | 54.9170733 | |
11.509165 | 75.2510828 | 47.1228796 | |
13.5813106 | 108.561758 | 54.4734057 | |
18.6153672 | 158.859357 | 82.7227055 | |
17.8409859 | 187.321948 | 32.9732721 | |
19.6574491 | 207.347294 | 83.6026029 | |
21.4857807 | 247.975928 | 41.1137112 | |
21.7922475 | 244.3571 | 15.7568354 | |
19.3466949 | 275.097907 | 85.5148904 | |
26.8401119 | 358.199545 | 44.2541254 | |
20.8829296 | 368.107943 | 70.1249842 | |
22.589027 | 396.308766 | 101.641465 | |
31.7593102 | 458.549896 | 115.626027 | |
25.1036877 | 486.359191 | 57.0917071 | |
33.4323084 | 548.630988 | 139.249826 | |
30.0150075 | 612.316999 | 60.1782367 | |
34.8076793 | 650.662408 | 83.0549845 | |
32.6783113 | 706.637949 | 104.900502 | |
31.177809 | 744.950801 | 111.006385 | |
34.7953704 | 818.64923 | 107.004762 | |
30.057366 | 867.87859 | 93.9554075 |
Answer:
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