Exam 4: Linear Regression

Consider the below data which is based on a company's sales in the period 2000 to 2011 along with the national income of the country, where the business is set up. a. Develop a scatter chart for these data, treating the national income as the independent variable. Does a simple linear regression model appear to be appropriate? b. Develop an appropriate estimated regression equation to predict the company's sales, given the national income. How much variation in the sample values of company's sales is explained by this regression model

A regression analysis involving one independent variable and one dependent variable is referred to as a _____.

Fitting a model too closely to sample data, resulting in a model that does not accurately reflect the population is termed as _____.

The data shown below are the average personal income and personal consumption expenditures based on the survey conducted in the year 1995 to 2009 in U.S. a. Develop a scatter chart for the above data. What does this chart indicate about the relationship between average personal income and personal consumption expenditure? b. Develop an estimated regression equation showing how personal consumption expenditure is related personal income. c. What proportion of variation in the sample values of proportion of personal consumption expenditure does this model explain?

The prespecified value of the independent variable at which its relationship with the dependent variable changes in a piecewise linear regression model is referred to as the _____.

Consider the following data with the dependent variable y, independent variable x, and the dummy variable a. Develop the estimated regression equation using all of the independent variables included in the data. b. Test for an overall regression relationship at the 0.05 level of significance. Is there a significant regression relationship?

_____ refers to the degree of correlation among independent variables in a regression model.

A variable used to model the effect of categorical independent variables in a regression model is known as a _____.

_____ refers to the scenario in which the relationship between the dependent variable and one independent variable is different at different values of a second independent variable.

A linear regression analysis for which any one unit change in the independent variable is assumed to:

A _____ is used to visualize sample data graphically and to draw preliminary conclusions about the possible relationship between the variables.

A survey is conducted to determine whether the age of car influences the annual maintenance cost. A sample of 10 cars is selected and the data is shown below. a. Develop a scatter chart for these data with age of cars as the independent variable. What does the scatter chart indicate about the relationship between age of a car and the annual maintenance cost? b. Use the data to develop an estimated regression equation that could be used to predict the annual maintenance cost given the age of the car. What is the estimated regression model?

Assessing the regression model on data other than the sample data that was used to generate the model is known as _____.

The data shown below are the average personal income and personal consumption expenditures based on the survey conducted in the year 1995 to 2009 in U.S. a. What is the 95 percent confidence interval for the regression parameter β₁? Based on this interval, what conclusion can you make about the hypotheses that the regression parameter β₁ is equal to zero? d. What is the 95 percent confidence interval for the regression parameter β₀? Based on this interval, what conclusion can you make about the hypotheses that the regression parameter β₀ is equal to zero?

The difference between the observed value of the dependent variable and the value predicted using the estimated regression equation is known as the _____.

The following scatter chart would help conclude that:

_____ is used to test the hypothesis that the values of the regression parameters β1, β2, . . . , βq are all zero.

Which of the following inferences can be drawn from the scatter chart given below?

The data on profit and market capitalization for a sample of 15 different firms in U.S are as below. a. Develop a scatter chart for the above data. What does this chart indicate about the relationship between market capitalization and profit? b. Use the data to develop an estimated regression equation that could be used to estimate a firm's profit based on its market capitalization. What is the estimated regression model? c. What is the predicted profit for the market capitalization of 70721.3 ($ million)? A) Develop a scatter chart for the above datA) What does this chart indicate about the relationship between market capitalization and profit? B) Use the data to develop an estimated regression equation that could be used to estimate a firm's profit based on its market capitalization. What is the estimated regression model? C) What is the predicted profit for the market capitalization of 70721.3 ($ million)?

_____ is the data set used to build the candidate models.