?Credit Scores 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 data rep

Chapter 14, Problem 12

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Credit Scores 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 data represent the interest rate (in percent) a bank might offer on a 36-month auto loan for various FICO scores.

Use the results from Problem 18 in Section 4.2 to answer the following questions:

(a) Treating credit score as the explanatory variable, x, determine the estimates of 0 and 1.

(b) Compute the standard error of the estimate, Se.

(c) Determine Sb1.

(d) A normal probability plot of the residuals indicates it is reasonable to conclude the residuals are normally distributed. Test whether a linear relation exists between credit score and interest rate at the  = 0.05 level of significance.

(e) Construct a 95% confidence interval about the slope of the true least-squares regression line.

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