Here's a plot showing the federal rate on 3-month Treasury bills from 1950 to 1980, and a

Question:

Here's a plot showing the federal rate on 3-month Treasury bills from 1950 to 1980, and a regression model fit to the relationship between the Rate (in %) and Years Since 1950.
a) What is the correlation between Rate and Year?
b) Interpret the slope and intercept.
c) What does this model predict for the interest rate in the year 2000?
d) Would you expect this prediction to have been accurate? Explain.

Dependent variable is Rate
R-squared = 77.6%s = 1.232
Variable Coefficient
Intercept ...................................... 0.61149
Year - ............................................ 0.24788