Question

Are the inflation rates of the United States and the United Kingdom associated? If so, can...

Are the inflation rates of the United States and the United Kingdom associated? If so, can we attempt to predict the U.S. inflation rate using the U.K. inflation rate? Suppose we fit the following simple linear regression model

U.S. inflation rate i = β0 + β1(U.K. inflation rate)i + εi

where the deviations εi were assumed to be independent and Normally distributed, with mean 0 and standard deviation σ. This model was fit to the data using the method of least squares. A random sample of 20 annual rates was selected from the rates of the past 110 years. The following results were obtained from statistical software.

R2 = 0.533
s = 3.88795

Variable

Parameter Estimate

S.E. of Parameter Est.

Constant

0.2030

1.087

U.K. Inflation Rate

0.6652

0.1468


The value of residual MS, the mean sum of squares for error, is:
0 0
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Answer #1

Value of residual MS, the mean sum of squares for error

= s2

= (3.88795)2

= 15.1162   [Rounded off to 4 decimals]

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