Crowdly

Based on the estimated model reported above, what is the return to every year of university education for women?

Enter your answer rounded to the nearest percentage point but without the % sign.

profits <-- read.csv("profits.csv")

The file profits.csv includes data on profits and assets of 88 firms (some firms having missing data). The variables in the data set are and , which are each firm’s profit and assets in million dollars, and which is a dummy variable which is equal to 1 if the CEO of the firm is not the owner of the firm, and is zero otherwise.

Use R to get the scatterplot of against . What does the scatterplot suggest?

library(ggplot2)

ggplot(profits, aes(x = assets, y = profits)) + geom_point()

The errors are heteroskedastic.

All of the above statements are true.

OLS is an unbiased estimator.

The standard t-tests are not correct.

Let denote a random sample of observations on the independently distributed random variables , where

Let

and

denote two estimators of . Which of the following statements is false?

is an unbiased estimator of .

is a more efficient estimator of than is .

Consider the vector of independently distributed random variables

\begin{equation}Y=\begin{bmatrix}Y_{1} \\ Y_{2} \\ Y_{3}\end{bmatrix},\end{equation}

where

Which of the following statements is true?

At least one off-diagonal element of is not equal to zero.

is a diagonal matrix

The set of random variables satisfy the homoskedasticity assumption.

Let denote a random sample of observations on the independently distributed random variables , where

Let

be an estimator of . Which of the following statements is true?

is an unbiased estimator of .

is an efficient estimator of .

When a researcher estimated the linear regression equation

she reported the following results:

Based on the results reported, which of the following statements is true?

Consider the linear regression models

When these models were estimated by OLS, the researcher reported the following results:

	M1	M2
AIC	1.01	1.02
BIC	1.08	1.06

Which of the following statements is correct?

The BIC chooses Model 1.

The information in the table has been incorrectly reported.

Both the AIC and the BIC choose Model 2.

The AIC chooses Model 2.

Both the AIC and the BIC choose Model 1.

We conduct the following -test:

Which null-hypothesis are we testing with in this -test?

Expected value of sleep time conditional on work time and age is a quadratic function of age.

Given work time, age is not a significant predictor of sleep time.

Expected value of sleep time conditional on work time and age is a linear function of age.

100%

Using data from a random sample of 305 women, we have estimated the following model that relates a woman’s sleep time in a week (in minutes) to her work time (in minutes) and age.

All else equal, at what age are women predicted to sleep the least on average according to this estimated equation? Enter the age with one decimal point.