In: Math
A researcher obtained the ordinary least squares (OLS) estimates for a Ghanaian firm's stock price using 120 observations from 1980 ml to 1989 m 12 (All variables in logarithms) as:
In St = 0.87 -054 In pt + 0.65 In yt + 0.34 In rt - 0.32 In mt
Standard errors:
pt = (1.06)
yt = (0.24)
rt = (0.12)
mt = (0.24)
Adjusted R2=0.34, RSS = 1.24, F1154 =3.75
St are the log of the stock price, pt is the log of profit, yt is the log of its output in Ghana, rt is the log of expenditure on research and development and mt is the log of expenditure on marketing. Figures in parentheses are standard errors and RSS is the Residual Sum of squares.
Required:
(a) Interpret fully the regression results.
(b) Briefly evaluate the reasons behind including pt and yt as explanatory variables in the regression
(c) What is the explanatory power of the regression?
(d) Test, whether each coefficient equals 0, at the 5% level of significance
(e) Using a t-test, does the coefficient on the variable In yt = 1?
(f) What are the policy implication of the result