Question
If we multiply the dependent variable in a regression model by positive constant k, then the estimated regression coefficients and their estimated standard errors are
If we multiply the dependent variable in a regression model by positive constant k, then the estimated regression coefficients and their estimated standard errors are multiplied by k. For example, suppose we estimate a model of the price achieved by a stock during its initial public offering (IPO), and the price is stated in dollars per share. Then, we multiply the dependent variable by k=100 to form a model of the IPO price in cents per share. What impact does this transformation have on the t-statistics in which the hypothesized coefficient values are zero, and what happens to the confidence intervals based on these coefficient estimates?
A. The t-statistics remain unchanged, but the mid point and outer boundaries of the confidence interval are multiplied by k=100
B. The confidence interval bounds remain unchanged, but the t-statistic values are 1/100 of their previous value
C. The t-statistcs and the confidence interval bounds remain unchanged
D. The confidence interval bounds remain unchanged, but the t-statistics are k=100 times larger after the transformation
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