The purpose of this case study is to familiarize yourself with correlation and regression calculations and interpretations using real data. We will use the 2014 World Happiness data on the last page of this document. (1) Who or what are the individuals for this data set (1/2 point)? (2) What are the 3 variables given in this data set (1/2 point)? a ) b ) (3) Go to the following website to create a scatterplot for % Happy and Life Satisfaction: https://mathcracker.com/scatter plot You are going to predict % Happy from Life Satisfaction, so make sure your variables are on the correct axes. Once you have your data copied into the first two boxes, label the graph and each axis. Then click "graph it," which is a yellow button. Right click to save the image, and then paste it here (1/2 point): (4) Based on your scatterplot, describe this relationship (circle or highlight your answers below) (1 /2 points): LINEAR NONLINEAR NEGATIVE POSITIVE WEAK MODERATE STRONG Page 1 (5) Now enter all the provided data (do not delete anything) in your calculator and computer (1 point): (6) What is the regression equation for predicting % Happy from Life Satisfaction (13/2 points)? (7) What is the predicted % Happy for a country with a Life Satisfaction score of 4.8? (1 point)? Predicted % Happy = (8) South Africa's mean life satisfaction was 4.8, and their % happy was 77.4%. Did our model overestimate, underestimate, or accurately predict South Africa's % Happy (1 point)? OVERESTIMATED UNDERESTIMATED ACCURATE (9) What is the percent of the variability in % Happy accounted for by the regression on Life Satisfaction (1 point)?_ 9% (10) Now, go back to the scatterplot website to create a scatterplot for % Happy and GDP: https://mathcracker.com/scatter plot You are going to predict % Happy from GDP, so make sure your variables are on the correct axes. Once you have your data copied into the first two boxes, label the graph and each axis. Then click "graph it," which is a yellow button. Right click to save the image, and then paste it here (1/2 point)