Purchase Solution

Multiple regression

Not what you're looking for?

Ask Custom Question

My data set contains five variables for 96 nations in the world.

Onlinepop Online Population
PC's Number of Personal Computeres
Phones Number of landline phones
Educ Percent of GNP spent on education
GNPPC Gross National Product per capita

Here is correlation matrix on data set:

Assignment was to Regress Onlinepop against PC's, Phones, and Educ and then to regress the predicted values of the dependent variable Onlinepop against the residuals resulting in the following scatterplot in order to detect for heteroskedasticity.
Next based on results of model I was to consider three scenarios. First, triple Education expenditure. Second, double PC's. Third, double Phones. Here are results of model. R square was .98

QUESTION - I don't understand why variable Educ has a negative coefficient. Intuitively, I would expect a positive sign. Can you explain why? Could it be multilcollinearity or is it the heteroskedasticity at work?

See attached file for full problem description.

Attachments
Purchase this Solution
Solution Summary

This shows how to regress the predicted values of a dependent variable against the residuals in order to detect for heteroskedasticity.

Solution Preview

Please see attached file.

PROBLEM 1846 - MULTIPLE REGRESSION

My data set contains five variables for 96 nations in the world.

Onlinepop Online Population
PC's Number of Personal Computers
Phones Number of landline phones
Educ Percent of GNP spent on education
GNPPC Gross National Product per capita

Here is correlation matrix on data set:

Onlinepop PCs Phones Educ GNPPC
Onlinepop 1
PCs 0.990643 1
Phones 0.319927 0.275276 1
Educ 0.049997 0.049423 0.369801 1
GNPPC 0.509078 0.477851 0.874735 0.318304 1

Assignment was to Regress Onlinepop against PC's, Phones, and Educ and then to regress the predicted values of the dependent variable Onlinepop against the residuals resulting in the following scatter plot in order to detect for heteroskedasticity.

Next based on results of model I was to consider three scenarios. First, triple Education expenditure. Second, double PC's. Third, double Phones. Here are results of model. R square was .98

Coefficients Standard Error T stat ...

Purchase this Solution
Free BrainMass Quizzes
Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Probability Quiz

Some questions on probability

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

View More Free Quizzes
Related BrainMass Solutions

  • Simple Linear Regression and Multiple Regression.

    357632 Simple Linear Regression and Multiple Regression. Simple Linear Regression and Multiple Regression. I'd like to ask whether you think multiple regression (the use of more IV's) is always better than simple regression? Why or why not?

  • Multiple Regression

    Multiple regression wouldn't be useful in this scenario (although you could do multiple simple regression analyses or multiple correlation analyses).

  • Develop a multiple linear regression model & compare

    414052 Develop a multiple linear regression model and explain how does this compare with simple regression. Develop a multiple linear regression model.

  • Purpose and interpretation of multiple regression analysis

    How is the strength of multiple regression measures of association determined? Purpose of Multiple Regression Regression analysis examines the relationships among variables.

  • Multiple Regression Analysis and Least Squares Regression

    153985 Multiple regression analysis and least squares regression I understand how to apply least squares regression to produce an estimated regression equation when a single variable is involved.

  • Multiple Regression of Lumber Prices and Number of Housing

    235101 Multiple Regression of Lumber Prices and Number of Housing Using this sample problem, compute the multiple regression formula using the interest rates, lumber prices, and number of housing starts provided below.

  • Data Analysis: Multiple Regression

    My assignment for this week is to show some understanding of multiple regression.

  • Design of Experiments

    468988 Design of Experiments or Multiple Regression Why would you want to use Design of Experiments rather than Multiple Regression? In other words, what situations are more suited for DOE and which ones more suited to Multiple Regression?

  • Multiple Regression From Workplace

    109307 Multiple Regression From Workplace One of the major uses of multiple regression models is in forecasting a Y value given certain values of the independent X variables.

  • Statistics: Multiple regression equation and ANOVA

    364058 Statistics: Multiple regression equation and ANOVA Please help with the following problem See attached data file.

View More Related Solutions