A past Stat 200 survey yielded this multiple regression equation: Predicted number of Piercings = -0.01 + 1.33x Gender + 0.7x Tattoos based on 231 responses to questions asking: How many piercings do you have?, How many tattoos do you have? and What's your gender? Imagine the 231 students were randomly drawn from a much larger population of Stat 200 students. a. The above equation describes the best fitting v through all the points so as to minimize the squared errors in the Submit Answer Tries 0/99 b. What does the 1.33 Gender slope mean in the equation above? (Gender is coded as 1 for females and O for males.) O For those with the same number of tattoos, females have 1.33 more piercings than males on the average. O For those with the same number of piercings, females have 1.33 more tattoos than males on the average. O Regardless of the number of tattoos, females have 1.33 more piercings than males on the average. Submit Answer Tries 0/99 c. The multiple regression equation for all students with Tattoos = 10 simplifies to: Piercings = x Gender (Fill in the 2 blanks with numbers.) Submit Answer Tries 0/99

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A past Stat 200 survey yielded this multiple regression equation:
Predicted number of Piercings = -0.01 + 1.33x Gender + 0.7x Tattoos
based on 231 responses to questions asking: How many piercings do you have?, How many tattoos do you have? and What's your gender? Imagine the 231 students were randomly drawn from a much larger
population of Stat 200 students.
a. The above equation describes the best fitting
through all the points so as to minimize the squared errors in the
Submit Answer
Tries 0/99
b. What does the 1.33 Gender slope mean in the equation above? (Gender is coded as 1 for females and 0 for males.)
For those with the same number of tattoos, females have 1.33 more piercings than males on the average.
For those with the same number of piercings, females have 1.33 more tattoos than males on the average.
Regardless of the number of tattoos, females have 1.33 more piercings than males on the average.
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c. The multiple regression equation for all students with Tattoos = 10 simplifies to:
Piercings =
x Gender (Fill in the 2 blanks with numbers.)
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d. Comparing 2 people of the same sex who differ by 10 in their number of tattoos, how much does the regression equation estimate they'd differ in their number of piercings?
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e. Comparing 2 people of the opposite sex who differ by 10 in their number of tattoos, how much does the regression equation estimate they'd differ in their number of piercings...
i) if the female has 10 more tattoos than the male?
Submit Answer
Tries 0/99
Transcribed Image Text:A past Stat 200 survey yielded this multiple regression equation: Predicted number of Piercings = -0.01 + 1.33x Gender + 0.7x Tattoos based on 231 responses to questions asking: How many piercings do you have?, How many tattoos do you have? and What's your gender? Imagine the 231 students were randomly drawn from a much larger population of Stat 200 students. a. The above equation describes the best fitting through all the points so as to minimize the squared errors in the Submit Answer Tries 0/99 b. What does the 1.33 Gender slope mean in the equation above? (Gender is coded as 1 for females and 0 for males.) For those with the same number of tattoos, females have 1.33 more piercings than males on the average. For those with the same number of piercings, females have 1.33 more tattoos than males on the average. Regardless of the number of tattoos, females have 1.33 more piercings than males on the average. Submit Answer Tries 0/99 c. The multiple regression equation for all students with Tattoos = 10 simplifies to: Piercings = x Gender (Fill in the 2 blanks with numbers.) Submit Answer Tries 0/99 d. Comparing 2 people of the same sex who differ by 10 in their number of tattoos, how much does the regression equation estimate they'd differ in their number of piercings? Submit Answer Tries 0/99 e. Comparing 2 people of the opposite sex who differ by 10 in their number of tattoos, how much does the regression equation estimate they'd differ in their number of piercings... i) if the female has 10 more tattoos than the male? Submit Answer Tries 0/99
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