Investigation Results – Using the given data, investigate the possible relationships between Life Expectancy as the response variable (y) and each of the three explanatory variables (x). For each x variable, you will complete the following steps. Construct a scatter diagram displaying the relationship between x and y. You can use graph paper and draw the diagram by hand, use your calculator and take a picture of the screen, or use the online site: https://www.desmos.com/, which will allow you to print or save your diagram. Calculate and state the sample correlation coefficient r. Describe the type of correlation, if any, and interpret the c
*** Answer 1-3 please ***
Investigation Results – Using the given data, investigate the possible relationships between Life Expectancy as the response variable (y) and each of the three explanatory variables (x). For each x variable, you will complete the following steps.
Construct a
You can use graph paper and draw the diagram by hand, use your calculator and take a picture of the screen, or use the online site: https://www.desmos.com/, which will allow you to print or save your diagram.
Calculate and state the sample
Describe the type of correlation, if any, and interpret the correlation in the context o-f the data.
1. Determine if the correlation is significant. Use α = 0.05 and show all steps of this process.
Inferences - Write at least one paragraph for each of the following questions. In the paragraph, you should explain as though you are talking to someone that is not in a statistics class. In other words, give details.
2. Now that you have investigated the relationships between y and each of the three different x variables, which explanatory variable (x) is the best predictor for Life Expectancy (y)? To defend your choice, discuss your investigation results for each
(x, y) pairing from part 1, including correlation coefficients and their significance.
3. Calculate the regression equation for the relationship you determined to be the “best” in part a. What is the “rate of change” of your equation? Using this rate of change, describe the behavior of Life Expectancy (y) as a result of changes in the explanatory variable (x) that you chose.
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