Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 4 - Section 4.2 - Assess Your Understanding - Applying the Concepts - Page 217: 18b

Answer

Interpretation of the slope: If a person's credit score increases by one point, it is expected that the interest rate they pay on a 36 month auto loan will decrease by approximately 0.077 percentage points. Interpretation of the intercept: Since credit scores have a range of 300 to 850, it would be unreasonable for us to ever substitute $x \approx 0$ into our linear regression equation. As such, for this question, the intercept has no meaning/cannot be interpreted.

Work Step by Step

Interpretation of the slope: If a person's credit score increases by one point, it is expected that the interest rate they pay on a 36 month auto loan will decrease by approximately 0.077 percentage points. Interpretation of the intercept: Since credit scores have a range of 300 to 850, it would be unreasonable for us to ever substitute $x \approx 0$ into our linear regression equation. As such, for this question, the intercept has no meaning/cannot be interpreted.
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