Identify the slope and the y-intercept within your regression equation. Is the equation a good model? Explain. What would be the best predicted depth of an earthquake with a magnitude of 2.0? Include the correct units.

Deliverable 6 – analysis with correlation and regression

The regression equation is y= -0.67x + 3.45, where x represents the magnitude of an earthquake and y represents its predicted depth in km. The slope of this equation is -0.67, which means that for every 1 unit increase in magnitude, there will be a 0.67km decrease in predicted depth. The y-intercept is 3.45 which indicates that when the magnitude is zero (no earthquake), the predicted depth will still be 3.45km.

Overall this equation appears to be a good model since it has a relatively low slope indicating only small changes in depth with changes in magnitude, and also because it shows that even earthquakes with very low magnitudes still have some expected depth associated with them (3.45km). Therefore, the best predicted depth for an earthquake with a magnitude of 2.0 would be 2.78 km (-0 .67 x 2 +3 .45 = 2 .78).