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Suppose you are interested in predicting the abortion rate in the USA based on various factors in the excel file Abortion.xls The definition of the

Suppose you are interested in predicting the abortion rate in the USA based on various factors in the excel file Abortion.xls

The definition of the variables of interest is presented in the table below:

Variable

Definition / Unit

abortion

Abortion rate

price

The average price charged in non-hospital facilities for an abortion

income

Disposable income per capita

law

Enforced law that restricts a minor?s access to abortion,

educ

The percent of a state?s population that is 25 years or older with a high school degree

Consider the following model: abortioni = Be + Biprice; + Bzincome; + B2 lawi + B4educi + Ui

  1. Formulate a multiple linear regression model that includes all potential explanatory variables and estimate it with the given sample data. Hint: Note the presence of a qualitative variable that needs to be re-coded as a dummy variable.

  2. Interpret the parameters estimated in the regression equation

  3. Are the coefficients statistically significant? *Hint: Conduct proper hypothesis testing

  4. How well does the estimated regression equation fit the data? Hint: Explain the R-squared

  5. Write down the null and the alternative hypothesis to test the homoscedastic assumption of the classical linear regression model.

  1. Write the auxiliary regression equation for the White test to find out if the error variance is homoscedastic

7. Conduct White test to test the hypothesis stated in part e.

8. If heteroscedasticity is established, what might you do to correct for this violation of OLS assumptions?

A B? DE price 256 332 298 251 248 228 292 329 281 272 320 303 370 400 249 300 291 328 280 288 1 abortion law 212.4 no 317

Consider the following model: abortioni- Bo + Biprice; + Brincomei + P3 lawi + Beduci + Ui

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Answer 1 Multiple Linear Regression Model The multiple linear regression model that includes all potential explanatory variables and is estimated with the sample data is given as follows abortioni 0 1... blur-text-image

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