Exam 4: Regression Models

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An F-test is used to determine if there is a relationship between the dependent and independent variables.

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Summing the error values in a regression model is misleading because negative errors cancel out positive errors.

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Multicollinearity exists when a variable is correlated to other variables.

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In regression, an independent variable is sometimes called a response variable.

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A dummy variable is also called a(n)

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The adjusted r2 will always increase as additional variables are added to the model.

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The multiple regression model includes several dependent variables.

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A large school district is reevaluating its teachers' salaries.They have decided to use regression analysis to predict mean teachers' salaries at each elementary school.The researcher uses years of experience to predict salary.The resulting equation was: Y = 23,313.22 + 1,210.89X, where Y = salary and X = years of experience (a)If a teacher has 10 years of experience, what is the forecasted salary? (b)If a teacher has 5 years of experience, what is the forecasted salary? (c)Based on this equation, for every additional year of service, a teacher could expect his or her salary to increase by how much?

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A prediction equation for sales and payroll was performed using simple linear regression.In the regression printout shown below, which of the following statements is not true? SUMMARY OUTPUT A prediction equation for sales and payroll was performed using simple linear regression.In the regression printout shown below, which of the following statements is not true? SUMMARY OUTPUT   ANOVA    ANOVA A prediction equation for sales and payroll was performed using simple linear regression.In the regression printout shown below, which of the following statements is not true? SUMMARY OUTPUT   ANOVA    A prediction equation for sales and payroll was performed using simple linear regression.In the regression printout shown below, which of the following statements is not true? SUMMARY OUTPUT   ANOVA

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The sum of squared error (SSE)is

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What can be said about a correlation coefficient of +1?

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Consider the regression model Y = 389.10 - 14.6X.If the r2 value is 0.657, what is the correlation coefficient?

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Table 4.1 SUMMARY OUTPUT Table 4.1 SUMMARY OUTPUT    ANOVA      -Consider the output shown in Table 4.1.What is the value of the regression df? ANOVA Table 4.1 SUMMARY OUTPUT    ANOVA      -Consider the output shown in Table 4.1.What is the value of the regression df? Table 4.1 SUMMARY OUTPUT    ANOVA      -Consider the output shown in Table 4.1.What is the value of the regression df? -Consider the output shown in Table 4.1.What is the value of the regression df?

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Bob White is conducting research on monthly expenses for medical care, including over-the-counter medicine.His dependent variable is monthly expenses for medical care while his independent variable is number of family members.Below is his Excel output. SUMMARY OUTPUT Bob White is conducting research on monthly expenses for medical care, including over-the-counter medicine.His dependent variable is monthly expenses for medical care while his independent variable is number of family members.Below is his Excel output. SUMMARY OUTPUT    ANOVA      (a)What is the prediction equation? (b)Based on his model, each additional family member increases the predicted costs by how much? (c)Based on the significance F-test, is this model a good prediction equation? (d)What percent of the variation in medical expenses is explained by the size of the family? (e)Can the null hypothesis that the slope is zero be rejected? Why or why not? (f)What is the value of the correlation coefficient? ANOVA Bob White is conducting research on monthly expenses for medical care, including over-the-counter medicine.His dependent variable is monthly expenses for medical care while his independent variable is number of family members.Below is his Excel output. SUMMARY OUTPUT    ANOVA      (a)What is the prediction equation? (b)Based on his model, each additional family member increases the predicted costs by how much? (c)Based on the significance F-test, is this model a good prediction equation? (d)What percent of the variation in medical expenses is explained by the size of the family? (e)Can the null hypothesis that the slope is zero be rejected? Why or why not? (f)What is the value of the correlation coefficient? Bob White is conducting research on monthly expenses for medical care, including over-the-counter medicine.His dependent variable is monthly expenses for medical care while his independent variable is number of family members.Below is his Excel output. SUMMARY OUTPUT    ANOVA      (a)What is the prediction equation? (b)Based on his model, each additional family member increases the predicted costs by how much? (c)Based on the significance F-test, is this model a good prediction equation? (d)What percent of the variation in medical expenses is explained by the size of the family? (e)Can the null hypothesis that the slope is zero be rejected? Why or why not? (f)What is the value of the correlation coefficient? (a)What is the prediction equation? (b)Based on his model, each additional family member increases the predicted costs by how much? (c)Based on the significance F-test, is this model a good prediction equation? (d)What percent of the variation in medical expenses is explained by the size of the family? (e)Can the null hypothesis that the slope is zero be rejected? Why or why not? (f)What is the value of the correlation coefficient?

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Which of these statements is best?

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The MBA program surveyed the catastrophe that was his fall 2017 intake.His 257 admitted students had performed miserably and he needed to determine why.He built a regression model to predict their overall class average after their first semester based on these factors that weighed heavily in their admission process: undergraduate GPA, GMAT score, years of professional employment, shoe size, TOEFL score, and 40 yard dash.What value of F is critical at the 0.05 level?

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The sum of the squares total (SST)

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A large school district is reevaluating its teachers' salaries.They have decided to use regression analysis to predict mean teacher salaries at each elementary school.The research has come up with the following prediction equation: Y = $18012.24 + 1432.37X1 - 4.07 X2 where X1 = Yrs Exp and X2 = Yrs Exp2 (a)If a teacher has 7 years of experience, what is the expected salary? (b)If teacher has 10 years of experience, what is the expected salary?

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What can be said about an r2 value of 0.96?

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For statistical tests of significance about the coefficients, the null hypothesis is that the slope is 1.

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