Part 1) Life Expectancy and Obesity (16 points)

Review the Health data given in the Excel spreadsheet, named as MATH215-DATA for Application Assignment-5. The variable of % Obesity is the percent of obese residents per state, and the Life Expectancy variable is the average life expectancy in years per state.

1. Create a scatterplot to see the relationship between the variables % Obese and Life Expectancy. [Hint: you might consider changing the x-axis scale] Copy and paste your graph here. a. What is the independent variable? b. What is the dependent variable? c. Does there seem to be a linear association between the two variables?

2. Find the correlation coefficient, r and describe the relationship between % Obese and Life Expectancy. Round your answer to 3 decimals. Is the relationship positive or negative; strong, moderate, or weak?

3. Find the equation of the estimated linear regression line, . Write the equation below and sketch it on the scatter plot.

4. If the percent Obese in a state is 30.5% what would you predict the average Life Expectancy of that state to be? (Use the estimated linear regression line, , in question 3)

5. Can 45% Obese be used to estimate the average Life Expectancy for a state? Why or why not?

6. A. Choose one of the provided states and find the %Obese and Life Expectancy in that state.

What is the state you chose? ______________ What is the %Obese in that state? ___________ What is the Life Expectancy in that state? _______________

B. Find the estimated average Life Expectancy in this state using the estimated regression line .

C. Is the estimated average Life Expectancy in this state higher or lower than the actual Life Expectancy.

7. By how much will change with one unit increase in % Obese?

8. If the average Life Expectancy of a state is 75.9 years, what would you expect the percent Obese of that state to be? (Use the estimated linear regression line, , in question 3)

Part 2) Student Interpretation and Reflection - 4 pts

Write summary of your learning from this assignment by addressing the following questions:

Based on the analysis performed above, what can be said about the relationship between % Obese and the average Life Expectancy in years? How did the regression analysis you completed above help you understand the relationship?

Include a few sentences in your summary whether %Obese and Life Expectancy have any causal relationship. Explain.

DATA NEEDED FOR THE ABOVE SOLVING

State % Obese State Average life expectancy in years Alabama 30.5 Alabama 74.8 Alaska 30.7 Alaska 78.9 Arizona 30.4 Arizona 78.4 Arkansas 30.5 Arkansas 75.6 California 30.9 California 80.2 Colorado 30.8 Colorado 79.5 Connecticut 31.1 Connecticut 80.1 Delaware 31.0 Delaware 77.8 District of Columbia 31.3 District of Columbia 76.4 Florida 31.5 Florida 78.4 Georgia 3 1.1 Georgia 76.6 Guam 31.4 Guam 81.3 Hawaii 31.2 Hawaii 81.0 Idaho 31.2 Idaho 79.1 Illinois 31.3 Illinois 78.2 Indiana 30.5 Indiana 76.8 Iowa 30.9 Iowa 79.1 Kansas 31.3 Kansas 78.1 Kentucky 31.3 Kentucky 75.6 Louisiana 31.2 Louisiana 75.4 Maine 30.9 Maine 78.4 Maryland 31.6 Maryland 78.7 Massachusetts 30.7 Massachusetts 80.3 Michigan 31.2 Michigan 77.3 Minnesota 30.9 Minnesota 80.5 Mississippi 31.0 Mississippi 75.0 Missouri 30.6 Missouri 77.0 Montana 31.1 Montana 78.8 Nebraska 31.2 Nebraska 79.0 Nevada 31.2 Nevada 77.6 New Hampshire 31.6 New Hampshire 80.0 New Jersey 31.0 New Jersey 79.6 New Mexico 31.4 New Mexico 78.5 New York 31.0 New York 80.3 North Carolina 31.3 North Carolina 77.4 North Dakota 31.3 North Dakota 79.4 Ohio 30.6 Ohio 76.6 Oklahoma 31.3 Oklahoma 75.9