An attempt was made to evaluate the forward rate as a predictor of the spot rate in the Canadian Treasury bill market. For a sample of 79 quarterly observations, the estimated linear regression: Y= 0.00027 + 0.7916 X was obtained, where Y= actual change in the spot rate X= change in the spot rate predicted by the forward rate The coefficient of determination was 0.097 and the estimated standard deviation of the estimator of the slope of the population regression line was 0.2759. a. Interpret the slope of the estimated regression line. b. Interpret the coefficient of determination. c. Test the null hypothesis that the slope of the population regression line is 0 against the alternative that the true slope is positive.

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An attempt was made to evaluate the forward rate as a predictor of the spot rate in the Canadian Treasury bill market. For a sample of 79
quarterly observations, the estimated linear regression:
Y= 0.00027 + 0.7916 X was obtained, where
Y= actual change in the spot rate
X= change in the spot rate predicted by the forward rate
The coefficient of determination was 0.097 and the estimated standard deviation of the estimator of the slope of the population regression
line was 0.2759.
a. Interpret the slope of the estimated regression line.
b. Interpret the coefficient of determination.
c. Test the null hypothesis that the slope of the population regression line is 0 against the alternative that the true slope is positive.
Transcribed Image Text:An attempt was made to evaluate the forward rate as a predictor of the spot rate in the Canadian Treasury bill market. For a sample of 79 quarterly observations, the estimated linear regression: Y= 0.00027 + 0.7916 X was obtained, where Y= actual change in the spot rate X= change in the spot rate predicted by the forward rate The coefficient of determination was 0.097 and the estimated standard deviation of the estimator of the slope of the population regression line was 0.2759. a. Interpret the slope of the estimated regression line. b. Interpret the coefficient of determination. c. Test the null hypothesis that the slope of the population regression line is 0 against the alternative that the true slope is positive.
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