The growth of a country's Gross Domestic Product (GDP) refers to the strength of the economy. Long-term interest rates, on the other hand, reflect the outlook for inflation in the future. It is said that the economic growth often fuels inflation or inflationary expectations. Given below are the Canadian long-term interest rates and Canadian GDP growth rates (as percentages) for some recent years. Determine the equation of the regression line to predict the long- term interest rates from the GDP growth. Compute the standard error of the estimate for this model. Compute the value of r. Does GDP growth appear to be a good predictor of the long-term interest rate? Why or why not?
The growth of a country's Gross Domestic Product (GDP) refers to the strength of the economy. Long-term interest rates, on the other hand, reflect the outlook for inflation in the future. It is said that the economic growth often fuels inflation or inflationary expectations. Given below are the Canadian long-term interest rates and Canadian GDP growth rates (as percentages) for some recent years. Determine the equation of the regression line to predict the long- term interest rates from the GDP growth. Compute the standard error of the estimate for this model. Compute the value of r. Does GDP growth appear to be a good predictor of the long-term interest rate? Why or why not?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The growth of a country's Gross Domestic Product (GDP) refers to the strength of the economy. Long-term interest
rates, on the other hand, reflect the outlook for inflation in the future. It is said that the economic growth often fuels
inflation or inflationary expectations. Given below are the Canadian long-term interest rates and Canadian GDP
growth rates (as percentages) for some recent years. Determine the equation of the regression line to predict the long-
term interest rates from the GDP growth. Compute the standard error of the estimate for this model. Compute the
value of r. Does GDP growth appear to be a good predictor of the long-term interest rate? Why or why not?
Year
Long-Term Interest Rates (%)
Real GDP Growth (%)
2002
5.29
2.8
2003
4.81
1.9
2004
4.58
3.1
2005
4.07
3.2
2006
4.21
2.6
2007
4.27
2.0
2008
3.61
1.2
2009
3.23
-2.7
2010
3.24
3.4
2011
2.78
3.0
2012
1.87
1.9
2013
2.26
2.0
2014
2.23
2.4
* (Do not round the intermediate values. Round your answer to 3 decimal places, e.g. 0.757.)
(Do not round the intermediate values. Round your answers to 4 decimal places, e.g. 0.7589.)
**
Equation of the regression line: Long term interest rate =
+
(Real GDP Growth) **
Standard error of the model =
,2 =
Real GDP v
the Long-term Interest Rate because only 2.6% of the variation in Long-term
Interest F
not a good predictor
riation in Real GDP Growth.
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a good predictor
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