# Question

An economist wants to determine the relation between one’s FICO score, x, and the interest rate of a 36-month auto loan, y. The given data represent the interest rate (in percent) a bank would offer on a 36-month auto loan for various FICO scores.

Credit Score, x .... Interest Rate (percent), y

545 ......... 18.982

595 ......... 17.967

640 ......... 12.218

675 ......... 8.612

705 ......... 6.680

750 ......... 5.150

(a) Find the least-squares regression line treating the FICO score, x, as the explanatory variable and the interest rate, y, as the response variable.

(b) Interpret the slope and y-intercept, if appropriate.

(c) Predict the interest rate a person would pay if her FICO scores were the median score of 723.

(d) Suppose Bob has a FICO score of 680 and he is offered an interest rate of 8.3%. Is this a good offer? Why?

Credit Score, x .... Interest Rate (percent), y

545 ......... 18.982

595 ......... 17.967

640 ......... 12.218

675 ......... 8.612

705 ......... 6.680

750 ......... 5.150

(a) Find the least-squares regression line treating the FICO score, x, as the explanatory variable and the interest rate, y, as the response variable.

(b) Interpret the slope and y-intercept, if appropriate.

(c) Predict the interest rate a person would pay if her FICO scores were the median score of 723.

(d) Suppose Bob has a FICO score of 680 and he is offered an interest rate of 8.3%. Is this a good offer? Why?

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