Interest rates and mortgages 2013 Since 1985, average mortgage interest rates have ed from a low of nearly 3% to a high of over 14%. Is there a relationship between the amount of beople borrow and the interest rate that's offered? Here is a scatterplot of Mortgage Loan in the United States (in trillions of 2013 dollars) versus yearly Interest Rate since 1985. The ion is -0.80.

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fluctuated from a low of nearly 3% 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 trillions of 2013 dollars) versus yearly Interest Rate since 1985. The
Interest rates and mortgages 2013 Since 1985, average mortgage interest rates have
correlation is -0.80.
60
50
40
30
20
6
8
10
12
Interest Rate (%)
a) Describe the relationship between Mortgage Loan Amount and Interest Rate.
b) If we standardized both variables, what would the correlation coefficient between the standardized
variables be?
c) If we were to measure Mortgage Loan Amount in billions of dollars instead of trillions of dollars, how
would the correlation coefficient change?
d) Suppose that next year, interest rates were 11% and mortgages totaled $60 trillion. How would
including 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.
ALL QUESTIONS FROM STATS: DATA AND MODELS
Amount Borrowed ($2013 T)
Transcribed Image Text:Q2 fluctuated from a low of nearly 3% 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 trillions of 2013 dollars) versus yearly Interest Rate since 1985. The Interest rates and mortgages 2013 Since 1985, average mortgage interest rates have correlation is -0.80. 60 50 40 30 20 6 8 10 12 Interest Rate (%) a) Describe the relationship between Mortgage Loan Amount and Interest Rate. b) If we standardized both variables, what would the correlation coefficient between the standardized variables be? c) If we were to measure Mortgage Loan Amount in billions of dollars instead of trillions of dollars, how would the correlation coefficient change? d) Suppose that next year, interest rates were 11% and mortgages totaled $60 trillion. How would including 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. ALL QUESTIONS FROM STATS: DATA AND MODELS Amount Borrowed ($2013 T)
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