A researcher has estimated a linear model to study the effect of weekly household income xi (in $100) on weekly household expenditure on food yi (in $). Using a sample of size N = 40, she found that
yi_hat = 83.42 + 10.21xi, R^2 = 0.384
(43.41) (2.09)
and sum(i=1 to N)(yi - y_bar)^2 = 500,000 and the sample mean of xi is 19.605. Consider a hypothesis testing against
H0: the slope coefficient is 3.94.
For this testing, the t-ratio is:
Therefore we, at the 5% significance level,
a. accept H1.
b. reject H0.
c. 3
d. 4
e. 2
f. 5
g. re-estimate the regression model using different data.
h. do not reject H0.
i. cannot do anything unless the significance level is 10%.
j. 4.89