A researcher wants to determine if there is a linear relationship between the magnitudes of earthquakes and their depths below the surface of the epicenter. The magnitudes and depths (in kilometers)...

A researcher wants to determine if there is a linear relationship between the magnitudes of earthquakes and their depths below the surface of the epicenter. The magnitudes and depths (in kilometers) of eight recent earthquakes are shown in the table. Magnitude x 7.7 6.7 6.9 6.8 4.0 3.8 7.1 5.9 Depth y 35 18 17 26 5 10 25 10 Construct the 90% prediction interval if the magnitude of the earthquake is 5.0?