Problem 32 BSC
Large Data Sets. Exercises use the same Appendix B data sets as Exercises in Section 102. In each case, find the regression equation, letting the first variable be the predictor (x) variable. Find the indicated predicted values following the prediction procedure summarized in Figure 105.
Earthquakes Refer to Data Set 16 in Appendix B and use the magnitudes and depths from the earthquakes. Find the best predicted depth of an earthquake with a magnitude of 1.50.
Answer:
Step 1 of 1
The dataset contains 50 recordings concerning the magnitude and the depths from the earthquake. Let us analyze the data and find out whether it provides any sufficient evidence to come to a conclusion about these two variables that they are linearly associated or not.
Mag(x) 
Depth(y) 
xy 
x2 

0.7 
6.6 
4.62 
0.49 

0.74 
2 
1.48 
0.5476 

0.64 
15.3 
9.792 
0.4096 

0.39 
17.2 
6.708 
0.1521 

0.7 
3.2 
2.24 
0.49 

2.2 
2.2 
4.84 
4.84 

1.98 
14.8 
29.304 
3.9204 

0.64 
5.6 
3.584 
0.4096 

1.22 
6.1 
7.442 
1.4884 

0.2 
9.1 
1.82 
0.04 

1.64 
18.5 
30.34 
2.6896 

1.32 
8.1 
10.692 
1.7424 

2.95 
10 
29.5 
8.7025 

0.9 
13.7 
12.33 
0.81 

1.76 
8 
14.08 
3.0976 

1.01 
7 
7.07 
1.0201 

1.26 
18.6 
23.436 