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In: Statistics and Probability

The following problem makes use of the dataset found here: FRq2B.csv Part a: Find the equation...

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

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