200 38. 150 100 6. 8. 10 12 Interest Rate (%) Mortgage Loan Amount ($000)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Interest rates and mortgages Since 1985, average mort-
gage interest rates have fluctuated from a low of under
6% to a high of over 14%. Is there a relationship between
the amount of money people borrow and the interest rate
that’s offered? Here is a scatterplot of Mortgage Loan
Amount in the United States (in thousands of dollars) ver-
sus Interest Rate at various times over the past 26 years.
The correlation is -0.86.
a) Describe the relationship between Mortgage Loan
Amount and Interest Rate.
b) If we standardized both variables, what would the corre-
lation coefficient between the standardized variables be?
c) If we were to measure Mortgage Loan Amount in hun-
dreds of dollars instead of thousands of dollars, how
would the correlation coefficient change?
d) Suppose in another year, interest rates were 11% and
mortgages totaled $250 thousand. How would includ-
ing that year with these data affect the correlation
coefficient?
e) Do these data provide proof that if mortgage rates are
lowered, people will take out larger mortgages? Explain.
200
38.
150
100
6.
8.
10
12
Interest Rate (%)
Mortgage Loan Amount ($000)
Transcribed Image Text:200 38. 150 100 6. 8. 10 12 Interest Rate (%) Mortgage Loan Amount ($000)
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