A regression model from the collection of the insect populations in Exercise 15 provides the following:

R-squared = 0.6230, Adjusted R-squared: 0.6165 SE = 1396.0417 with 120 observations Variable Coeff SE(Coeff) t-ratio P-value Intercept -15360.2719 1554.4148 -9.8817 0.0000 Rainfall 1004.9427 72.2935 13.9009 0.0000 Rainfall2 -11.1452 0.8147 -13.6804 0.0000

a) The slope of Rainfall is positive. Does this indicate that more rainfall will increase the population size for the insect on average? Explain.

b) Use the output provided to summarize this regression for predicting the population size for the insect species.