Refer to Data Set 21 “Earthquakes” in Appendix B and use the depths (x) and magnitudes (y) from the earthquakes. Find the best predicted magnitude of an earthquake with a depth of 5 km.

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 10-5.

Data Set 21: Earthquakes 

Data are from 600 matched pairs (first five rows shown here) of magnitude/depth measurements randomly selected from 10,594 earthquakes recorded in one year from a location in southern California. Only earthquakes with a magnitude of at least 1.00 are used. MAGNITUDE is magnitude measured on the Richter scale and DEPTH is depth in km. The magnitude and depth both describe the source of the earthquake. The data are from the Southern California Earthquake Data Center.