The following table gives data on the Consumer Price Index (CPI) and the Standard & Poor (S&P)
company''s index of 500 common stock prices.
Year CPI Index S&P 500 Index
1978 65.2 96.02
1979 72.6 103.01
1980 82.4 118.78
1981 90.9 128.05
1982 96.5 119.71
1983 99.6 160.41
1984 103.9 160.46
1985 107.9 186.84
1986 109.6 236.34
1987 113.6 286.83
1988 118.3 265.79
1989 124.0 322.84
Source: Economic Report of the President, 1990
A. Import the above data into E-Views. Plot the data on a scattergram with the S&P index on the
vertical axis and CPI on the horizontal axis. This is the second item on your printout for this
homework. Is this data time series, cross sectional, or pooled? Explain!
B. What can you say about the relationship between the two indexes?
C. Consider the following regression model:
Equation 1: (S&P)t = ?0 + ?1CPIt + ?t
(i) Using the data above, construct a table like the one shown in section 2.1.3 on page 39 in
Studenmund and use your calculations to manually compute the regression coefficients
in Equation 1 above (Hint: follow the method described in section 2.1.3).
(ii) Use OLS in E-views to estimate Equation 1 with the above data. Your E-Views output is
the third item on your printout for this homework. Are the results the E-views reports
different from the ones you obtained through the manual computation? Interpret the
coefficient estimates.
(iii) Do the results obtained in part (ii) above make economic sense?
D. What is the R2 of the estimated regression equation (highlight this on your E-views output)?
Given the type of data you used to estimate equation (1) does the R2 indicate an excellent fit, a
good fit, or a bad fit? Explain!