Exam 7: Advanced Regression Analysis

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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 quadratic regression model, if β\beta 2 > 0 then the relationship between x and y is an inverted U-shape.

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Using a sample of 50, the following regression output is obtained from estimating the linear probability regression model y = β\beta 0 + β\beta 1x + ε\varepsilon . What is the predicted probability when x = 14?  Using a sample of 50, the following regression output is obtained from estimating the linear probability regression model y =  \beta <sub>0</sub> +  \beta <sub>1</sub>x +  \varepsilon . What is the predicted probability when x = 14?

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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 theestimated linear probabilityimplied by the logistic probability regression model for x1 = 3 with x2 = 9? 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 theestimated linear probabilityimplied by the logistic probability regression model for x<sub>1</sub> = 3 with x<sub>2</sub> = 9?

(Multiple Choice)
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In an exponential regression model, the exact percentage of change can be calculated as: (exp( β\beta 1) - 1) × 100. If β\beta 1 = 0.23, what is the percent increase in E(y)?

(Multiple Choice)
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In the model y = β\beta 0 + β\beta 1ln(x) + ε\varepsilon , the predicted value is  In the model y =  \beta <sub>0</sub> +  \beta <sub>1</sub>ln(x) +  \varepsilon  , the predicted value is   = b<sub>0</sub> + b<sub>1</sub>ln(x). What is the impact of the estimated slope coefficient? = b0 + b1ln(x). What is the impact of the estimated slope coefficient?

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Ava Diego, a doctoral student, is researching car loans issued at a local bank. She prepared a sample of 200 to determine if there is a relationship between the loan amount, length of the loan, and interest rate provided. The regression results are in the table below. Which model is more suitable for prediction and what is the best fit reason? Ava Diego, a doctoral student, is researching car loans issued at a local bank. She prepared a sample of 200 to determine if there is a relationship between the loan amount, length of the loan, and interest rate provided. The regression results are in the table below. Which model is more suitable for prediction and what is the best fit reason?

(Multiple Choice)
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In an exponential regression model, the exact percentage of change can be calculated as: (exp( β\beta 1) - 1) × 100. If β\beta 1 = 0.25, what is the percent increase in E(y)?

(Multiple Choice)
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<p>Consider the following quadratic model, <p>Consider the following quadratic model,   = 25 + 1.5x ? 0.25x<sup>2</sup>. Predict y when x = 12. = 25 + 1.5x ? 0.25x2. Predict y when x = 12.

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Consider the following quadratic model, y^= 30 + 1.50x ? 0.25x2. Predict y when x = 14.

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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 = ?0.3802 and b2 = 0.0198, what is the level that will maximize his average cost in units?

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An estimated linear regression of annual fuel expenditures y on annual income x is represented as the following equation: y^\hat{y} = 2,700 + 0.02x. What is the estimated slope coefficient value?

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