700 600 500 00 400 300 200 35 40 45 50 55 60 70 Median Family Income (thousands of dollars) Housing Cost Index

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Exponential And Logarithmic Functions
Section11.S: Summary
Problem 18S
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Question
Income and housing revisited In Chapter 6, Exercise
32, we learned that the Office of Federal Housing Enter-
prise Oversight (OFHEO) collects data on various as-
pects of housing costs around the United States. Here’s a
scatterplot (by state) of the Housing Cost Index (HCI)
versus the Median Family Income (MFI) for the 50 states.
The correlation is r = 0.65. The mean HCI is 338.2,
with a standard deviation of 116.55. The mean MFI is
$46,234, with a standard deviation of $7072.47.a) Is a regression analysis appropriate? Explain.
b) What is the equation that predicts Housing Cost Index
from median family income?
c) For a state with MFI = +44,993, what would be the
predicted HCI?
d) Washington, DC, has an MFI of $44,993 and an HCI
of 548.02. How far off is the prediction in c) from the
actual HCI?
e) If we standardized both variables, what would be the
regression equation that predicts standardized HCI
from standardized MFI?
f) If we standardized both variables, what would be the
regression equation that predicts standardized MFI
from standardized HCI?
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Median Family Income
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Transcribed Image Text:700 600 500 00 400 300 200 35 40 45 50 55 60 70 Median Family Income (thousands of dollars) Housing Cost Index
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