Exam 9: Regression Analysis

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In regression terms what does "best fit" mean?

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R2 is also referred to as

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How many independent variables are there in simple regression analysis?

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What is a clear indicator of non-constant variance in a plot of regression model residuals?

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Exhibit 9.3 The following questions are based on the problem description and spreadsheet below. A researcher is interested in determining how many calories young men consume.She measured the age of the individuals and recorded how much food they ate each day for a month.The average daily consumption was recorded as the dependent variable.She has developed the following Excel spreadsheet of the results. Exhibit 9.3 The following questions are based on the problem description and spreadsheet below. A researcher is interested in determining how many calories young men consume.She measured the age of the individuals and recorded how much food they ate each day for a month.The average daily consumption was recorded as the dependent variable.She has developed the following Excel spreadsheet of the results.    -Refer to Exhibit 9.3.Interpret the meaning of the Lower 95% and Upper 95% terms in cells F16:G16 of the spreadsheet. -Refer to Exhibit 9.3.Interpret the meaning of the "Lower 95%" and "Upper 95%" terms in cells F16:G16 of the spreadsheet.

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Exhibit 9.4 The following questions are based on the problem description and spreadsheet below. A charitable organization wants to determine what type of people donate to charities like itself.The charity felt that a person's education in years),annual income,$1,000)and the number of children the person had were important variables to consider.The charity developed regression models for all of the possible combinations of these three variables but does not know what to do with the results. Exhibit 9.4 The following questions are based on the problem description and spreadsheet below. A charitable organization wants to determine what type of people donate to charities like itself.The charity felt that a person's education in years),annual income,$1,000)and the number of children the person had were important variables to consider.The charity developed regression models for all of the possible combinations of these three variables but does not know what to do with the results.    -Refer to Exhibit 9.4.Predict the mean donation by a person with 16 years of education,$90,000 annual income and 2 children.Use a full model based on data from the table. -Refer to Exhibit 9.4.Predict the mean donation by a person with 16 years of education,$90,000 annual income and 2 children.Use a full model based on data from the table.

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The problem of finding the optimal values of b0 and b1 is

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Exhibit 9.7 The partial regression output below applies to the following questions. Exhibit 9.7 The partial regression output below applies to the following questions.    -Refer to Exhibit 9.7.What is the SS for Total? -Refer to Exhibit 9.7.What is the SS for Total?

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Exhibit 9.1 The following questions are based on the problem description and spreadsheet below. A company has built a regression model to predict the number of labor hours Yi)required to process a batch of parts Xi).It has developed the following Excel spreadsheet of the results. Exhibit 9.1 The following questions are based on the problem description and spreadsheet below. A company has built a regression model to predict the number of labor hours Y<sub>i</sub>)required to process a batch of parts X<sub>i</sub>).It has developed the following Excel spreadsheet of the results.    -Refer to Exhibit 9.1.Predict the mean number of labor hours for a batch of 5 parts. -Refer to Exhibit 9.1.Predict the mean number of labor hours for a batch of 5 parts.

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What goodness-of-fit measure is commonly used to evaluate a multiple regression function?

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The standard error measures the

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R2 measures

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What does regression analysis attempt to establish?

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Based on the following regression output,what conclusion can you reach about β1? Based on the following regression output,what conclusion can you reach about β<sub>1</sub>?

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The company would like to build a prediction interval on the pressure for a can with a temperature of 125 degrees.What formula should be entered in cells B17:F21 of the following spreadsheet to compute this prediction interval? Partial results of the Regression analysis of the data are provided below. The company would like to build a prediction interval on the pressure for a can with a temperature of 125 degrees.What formula should be entered in cells B17:F21 of the following spreadsheet to compute this prediction interval? Partial results of the Regression analysis of the data are provided below.

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Exhibit 9.4 The following questions are based on the problem description and spreadsheet below. A charitable organization wants to determine what type of people donate to charities like itself.The charity felt that a person's education in years),annual income,$1,000)and the number of children the person had were important variables to consider.The charity developed regression models for all of the possible combinations of these three variables but does not know what to do with the results. Exhibit 9.4 The following questions are based on the problem description and spreadsheet below. A charitable organization wants to determine what type of people donate to charities like itself.The charity felt that a person's education in years),annual income,$1,000)and the number of children the person had were important variables to consider.The charity developed regression models for all of the possible combinations of these three variables but does not know what to do with the results.    -Refer to Exhibit 9.4.Based on the data in the table which is the best model for the charity to use? Explain which values you used to reach your conclusion. -Refer to Exhibit 9.4.Based on the data in the table which is the best model for the charity to use? Explain which values you used to reach your conclusion.

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Polynomial regression is used when

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A pattern resulting from random variation or unexplained causes is called

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A variable which takes on m discrete values would be modeled using

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On average,the differences between the actual and predicted values of Y

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