In a study of the relationship between real aggregate consumption and prices in a specific country based on a time series of 104 observations, the following OLS regression function was obtained (standard errors in parentheses), C; = 13.74 + 0.24P, (0.35) R² = 0.12, (1) SER = 2.85, (0.05) where C; is logarithm of consumption and P, is logarithm of price. (a) Is the coefficient on P, statistically significant? (b) Compute the p-value for the test of significance of the coefficient on P. (c) Comment on the sign of the coefficient on P.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
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In a study of the relationship between real aggregate consumption and prices
in a specific country based on a time series of 104 observations, the following
OLS regression function was obtained (standard errors in parentheses),
C; = 13.74 + 0.24P,
(0.35)
R = 0.12,
SER= 2.85,
(1)
(0.05)
where C, is logarithm of consumption and P, is logarithm of price.
(a) Is the coefficient on P statistically significant?
(b) Compute the p-value for the test of significance of the coefficient on P.
(c) Comment on the sign of the coefficient on P.
Transcribed Image Text:In a study of the relationship between real aggregate consumption and prices in a specific country based on a time series of 104 observations, the following OLS regression function was obtained (standard errors in parentheses), C; = 13.74 + 0.24P, (0.35) R = 0.12, SER= 2.85, (1) (0.05) where C, is logarithm of consumption and P, is logarithm of price. (a) Is the coefficient on P statistically significant? (b) Compute the p-value for the test of significance of the coefficient on P. (c) Comment on the sign of the coefficient on P.
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