Exam 7: Advanced Regression Analysis

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Sam, a marketing manager for XYZ big box stores, is trying to determine if there is a relationship between shelf space (in feet) and sales (in hundreds of dollars). To do this, Sam selected the top 12 producing locations. Using the provided Model 1 results, what is the estimated equation on Sales? Sam, a marketing manager for XYZ big box stores, is trying to determine if there is a relationship between shelf space (in feet) and sales (in hundreds of dollars). To do this, Sam selected the top 12 producing locations. Using the provided Model 1 results, what is the estimated equation on Sales?

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Sam, a marketing manager for XYZ big box stores, is trying to determine if there is a relationship between shelf space (in feet) and sales (in hundreds of dollars). To do this, Sam selected the top 12 producing locations. The regression results produced the following adjusted R2 values: Model 1: 0.8874 and Model 2: 0.6028. Which model is more suitable of a prediction?

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Sam, a marketing manager for XYZ big box stores, is trying to determine if there is a relationship between shelf space (in feet) and sales (in hundreds of dollars). To do this, Sam selected the top 12 producing locations. Using the provided Model 1 results, what is the estimated equation on Sales? Sam, a marketing manager for XYZ big box stores, is trying to determine if there is a relationship between shelf space (in feet) and sales (in hundreds of dollars). To do this, Sam selected the top 12 producing locations. Using the provided Model 1 results, what is the estimated equation on Sales?

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A variable with a value of x1x2 is added to the general linear regression model to account for two predictive variables, x1 and x2 and the effect on the response variable. This type of effect is called __________.

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In cross-validation, if k equals the sample size, the resulting method is also called __________.

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An estimated linear regression of annual fuel expenditures y on annual income x is represented as the following equation: y= 2,200 + 0.05x. Jim was offered a new job that would increase his salary by $2,000. What would be his potential increase in fuel costs? Based on this information, is the assumption of increased fuel cost against annual salary meaningful?

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The following table contains the parameter estimates of the linear probability regression model and the logistic regression model. When considering a binary response variable y and two predictor variables, x1 and x2, what is the predicted probability implied by the logistic regression model for x1 = 2 with x2 = 15? (Hint: for logit, the model is y^\hat{y} = exp(b0+ b1x1 + b2x2)1 + exp(b0 + b1x1 + b2x2).exp(b0+ b1x1 + b2x21 + expb0 + b1x1 + b2x2.)  The following table contains the parameter estimates of the linear probability regression model and the logistic regression model. When considering a binary response variable y and two predictor variables, x<sub>1</sub> and x<sub>2</sub>, what is the predicted probability implied by the logistic regression model for x<sub>1</sub> = 2 with x<sub>2</sub> = 15? (Hint: for logit, the model is  \hat{y}  = exp(b0+ b1x1 + b2x2)1 + exp(b0 + b1x1 + b2x2).exp(b0+ b1x1 + b2x21 + expb0 + b1x1 + b2x2.)

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A study was completed on cholesterol in 100 male adults 40-60 years of age to determine if there is a relationship between cholesterol concentration and time spent watching TV. The researchers wanted to determine if there are any predictive results, such as if the amount of time spent watching TV increases or decreases cholesterol levels. Based on the following regression results, what was the overall study p-value and is it statistically significant? A study was completed on cholesterol in 100 male adults 40-60 years of age to determine if there is a relationship between cholesterol concentration and time spent watching TV. The researchers wanted to determine if there are any predictive results, such as if the amount of time spent watching TV increases or decreases cholesterol levels. Based on the following regression results, what was the overall study p-value and is it statistically significant?

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In the model ln(y) = β\beta 0 + β\beta 1x + ε\varepsilon , the predicted value is  In the model ln(y) =  \beta <sub>0</sub> +  \beta <sub>1</sub>x +  \varepsilon , the predicted value is   = exp (b<sub>0</sub> + b<sub>1</sub>x +   ÷ 2). What is the impact of the estimated slope coefficient? = exp (b0 + b1x +  In the model ln(y) =  \beta <sub>0</sub> +  \beta <sub>1</sub>x +  \varepsilon , the predicted value is   = exp (b<sub>0</sub> + b<sub>1</sub>x +   ÷ 2). What is the impact of the estimated slope coefficient? ÷ 2). What is the impact of the estimated slope coefficient?

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The following table contains the parameter estimates of the linear probability regression model and the logistic regression model. When considering a binary response variable y and two predictor variables, x1 and x2, what is the predicted probability implied by the logistic regression model for x1 = 2 with x2 = 15? (Hint: for logit, the model is y^\hat{y} =  The following table contains the parameter estimates of the linear probability regression model and the logistic regression model. When considering a binary response variable y and two predictor variables, x<sub>1</sub> and x<sub>2</sub>, what is the predicted probability implied by the logistic regression model for x<sub>1</sub> = 2 with x<sub>2</sub> = 15? (Hint: for logit, the model is  \hat{y}   =   ) < / p >   ) < / p >  The following table contains the parameter estimates of the linear probability regression model and the logistic regression model. When considering a binary response variable y and two predictor variables, x<sub>1</sub> and x<sub>2</sub>, what is the predicted probability implied by the logistic regression model for x<sub>1</sub> = 2 with x<sub>2</sub> = 15? (Hint: for logit, the model is  \hat{y}   =   ) < / p >

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Todd uses the quadratic regression model to determine the predictive average unit cost of baseballs produced in his production facility. After determining predictive average costs at multiple unit batch size amounts in millions, he now wants to know what the output level that minimizes his costs would be. -Given b1 = -0.3600 and b2 = 0.0201, what is the level that will maximize his average cost in units?

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In a regression model with two dummy variables and an interaction variable d1d2:y = β\beta 0 + β\beta 1d1 + β\beta 2d2 + β\beta 3d1d2 + ε\varepsilon , the interaction variables are easy to estimate.

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An estimated linear regression of annual fuel expenditures y on annual income x is represented as the following equation: y= 2,200 + 0.05x. What is the estimated slope coefficient value?

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In the following logarithmic regression model, β\beta 1 × 0.01 measures the approximate unit change in E(y) when x increases. If β\beta 1 = 11,500, then what is the unit change in E(y)?

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Consider the sample correlation coefficients in the table below. How much of the variability in time can be explained by boxes using the alternative way of to determine the coefficient of determination. Consider the sample correlation coefficients in the table below. How much of the variability in time can be explained by boxes using the alternative way of to determine the coefficient of determination.

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In a regression model, the __________ exists when a predictor variable has a different partial effect on the outcome of another predictor variable.

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A linear regression model applied to a binary response variable is called a __________.

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In the model y = β\beta 0 + β\beta 1x + ε\varepsilon , the predicted value is  In the model y =  \beta <sub>0 </sub>+  \beta <sub>1</sub>x +  \varepsilon , the predicted value is   = b<sub>0</sub> + b<sub>1</sub>x. What is the impact of the estimated slope coefficient?   = b0 + b1x. What is the impact of the estimated slope coefficient?  In the model y =  \beta <sub>0 </sub>+  \beta <sub>1</sub>x +  \varepsilon , the predicted value is   = b<sub>0</sub> + b<sub>1</sub>x. What is the impact of the estimated slope coefficient?

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A regression model made to conform to a sample set of data, compromising predictive power is called __________.

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What is the predicted value ( y^\hat{y} ) when the numerical variable is x = 70 for the regression equation y^\hat{y} = -810 + 24.4x - 0.142x2?

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