A regression of average weekly earnings (AWE, measured in dollars) on age(measured in years) using a random sample of college-educated full-timeworkers aged 25–65 yields the following: AWE = 696.7 + 9.6 X Age, R2 = 0.023, SER = 624.1.a. Explain what the coefficient values 696.7 and 9.6 mean.b. The standard error of the regression (SER) is 624.1. What are the unitsof measurement for the SER? (Dollars? Years? Or is SER unit-free?)c. The regression R2 is 0.023. What are the units of measurement for theR2? (Dollars? Years? Or is R2 unit-free?)d. What does the regression predict will be the earnings for a 25-year-oldworker? For a 45-year-old worker?e. Will the regression give reliable predictions for a 99-year-old worker?Why or why not?f. Given what you know about the distribution of earnings, do youthink it is plausible that the distribution of errors in the regressionis normal? (Hint: Do you think that the distribution is symmetric orskewed? What is the smallest value of earnings, and is it consistentwith a normal distribution?)g. The average age in this sample is 41.6 years. What is the averagevalue of AWE in the sample?
A regression of average weekly earnings (AWE, measured in dollars) on age
(measured in years) using a random sample of college-educated full-time
workers aged 25–65 yields the following:
AWE = 696.7 + 9.6 X Age, R2 = 0.023, SER = 624.1.
a. Explain what the coefficient values 696.7 and 9.6 mean.
b. The standard error of the regression (SER) is 624.1. What are the units
of measurement for the SER? (Dollars? Years? Or is SER unit-free?)
c. The regression R2 is 0.023. What are the units of measurement for the
R2? (Dollars? Years? Or is R2 unit-free?)
d. What does the regression predict will be the earnings for a 25-year-old
worker? For a 45-year-old worker?
e. Will the regression give reliable predictions for a 99-year-old worker?
Why or why not?
f. Given what you know about the distribution of earnings, do you
think it is plausible that the distribution of errors in the regression
is normal? (Hint: Do you think that the distribution is symmetric or
skewed? What is the smallest value of earnings, and is it consistent
with a
g. The average age in this sample is 41.6 years. What is the average
value of AWE in the sample?
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