Correlation and Regression: 7) Is there a relationship between how much cheese we eat and how likely we are to die by becoming entangled in our bedsheets? We have the information on these variables over the past ten years. Let x represent the average amount of cheese consumed per capita annually, and let y represent the numbers of deaths in the United States attributed to persons becoming entangled in their bedsheet. Average Cheese Consumption Per Capita (pounds) X 29.8 30.1 30.5 30.6 31.3 31.7 32.6 33.1 32.7 32.8 Number of Deaths from Becoming Entangled in Bedsheets Y 327 456 509 497 596 573 661 741 809 717 Generate a scatter plot of this data and include the plot in your assignment. Explain your impression of the type of correlation in the context of the situation. State the equation of the regression line. Find r (correlation coefficient). Interpret the value of r in the context of this problem. Find the coefficient of determination, r2. Explain what it means in the context of this problem.
7) Is there a relationship between how much cheese we eat and how likely we are to die by becoming entangled in our bedsheets? We have the information on these variables over the past ten years. Let x represent the average amount of cheese consumed per capita annually, and let y represent the numbers of deaths in the United States attributed to persons becoming entangled in their bedsheet.
|
Average Cheese Consumption Per Capita (pounds) |
X |
29.8 |
30.1 |
30.5 |
30.6 |
31.3 |
31.7 |
32.6 |
33.1 |
32.7 |
32.8 |
|
Number of Deaths from Becoming Entangled in Bedsheets |
Y |
327 |
456 |
509 |
497 |
596 |
573 |
661 |
741 |
809 |
717 |
Generate a
State the equation of the regression line.
Find r (
this problem.
Find the coefficient of determination, r2. Explain what it means in the context of this problem.
Provide examples of other lurking variables that may have an effect on the number of deaths experienced in the United States each year as a result of becoming entangled in bedsheets other than the average amount of cheese consumed per person.
Predict the number of deaths from entanglement in bedsheets expected if the average amount of cheese consumed is 31 pounds.
Predict the average cheese consumption per person if there are 600 deaths annually from bedsheet entanglement.
Explain your reaction to this comparison. Is this a realistic situation? What does this tell us about measuring correlation?.
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