Principles of Statistics Exam 3

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School

Indiana University, Purdue University, Indianapolis *

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Course

241

Subject

Mathematics

Date

Feb 20, 2024

Type

rtf

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2

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Math 241 Exam-3 1 Math 241-Principles of Statistics Exam-3 1. What would you expect to see in the scatterplot? Choose the correct answer below. Answer: A moderate positive, possibly linear association Suppose data was collected for each pair of variables below to make a scatterplot. Which variable would be used as the explanatory variable and which as the response variable? Why? What is expected in the scatterplot? Discuss the likely direction, form, and strength for parts a through d below. 2. , Altitude and temperature when climbing mountains Which variable would be used as the explanatory variable and which as the response variable? Answer: Altitude would best be used as the explanatory variable, and temperature the response variable, to predict the temperature based on altitude. 3. What is expected in the scatterplot? Discuss the likely direction, form, and strength. Answer: The scatterplot should have a negative, possibly straight, and weak to moderate correlation 4. Ice cream cone sales and air-conditioner sales for each week Which variable would be used as the explanatory variable and which as the response variable? Why? Answer: Either ice cream cone sales or air-conditioner sales can be the explanatory variable. Then the other will be the response variable, because ice cream cone sales can be predicted by air-conditioner sales, and air-conditioner sales can be predicted from ice cream cone sales. 5. What is expected in the scatterplot? Discuss the likely direction, form, and strength. Answer: The scatterplot should have a positive, straight (linear), and moderate correlation. c) Age and grip strength for people 6. Which variable would be used as the explanatory variable and which as the response variable? Why?
Math 241 Exam-3 2 Answer: Age would best be used as the explanatory variable, and grip strength the response variable, to predict grip strength based on age. 7. What is expected in the scatterplot? Discuss the likely direction, form, and strength. Answer: The scatterplot should have a curved (nonlinear) and moderate correlation. d) Blood alcohol level and reaction time (in milliseconds) for drivers Answer: Blood alcohol level would best be used as the explanatory variable, and reaction time the response variable, to predict reaction time based on blood alcohol level. What is expected in the scatterplot? Discuss the likely direction, form, and strength. Answer: The scatterplot should have a positive, nonlinear, and moderately strong correlation.
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