STAT 130 Project 1 Penguin DATA SET 1, 2 or3 contains of many dives for a collection of Emperor Penguins. Please make note of which data set you have. Penguins can dive for a very long time. One of the key determinants is how quickly they use the oxygen in their body. The variables recorded are Dive Heart Rate (bpm) and Duration (min). For this project you will be asked to perform the appropriate analysis to explore the relationship between the two variables. For most of the questions, you will want to use technology to perform the computations, either Excel, a TI calculator, or the software available with the text. Upload your completed project to the appropriate version in Gradescope by the due date. 1. 9. 10. 11. 12. (3 pts) Before you make any graphs or perform any calculations, what kind of association do you expect between the two variables? Explain why this is your expectation. (2 pts) Which variable is the explanatory variable, and which is the response variable? Explain your response. (3 pts) Create a scatterplot of the two variables. (2 pts) Compute the value of the correlation coefcient, r. Round your answer to 3 decimal places. (3 pts) Describe the linear association between the two variables. Explain how you determined the linear association? (3 pts) Compute the equation of the regression line and add the line to the scatterplot. Round coefficients to at least 3 decimal places. (2 pts) Interpret the meaning of the slope ofthe regression line in this context. (2 pts) Compute the means for each of the variables and verify that that point is on the regression line by plugging the mean value of the explanatory variable into the equation for the regression line. (2 pts) For the eighth dive, compute the predicted value of the response variable. (2 pts) For the eighth dive, compute the residual. (3 pts) Compute R1 (rounded to 3 decimal places). Explain both what this values tells you in terms of how well the line fits the data and in terms of explained variability. (2 pts) How good do you feel about the regression line's ability to predict values. Explain how you made that decision. EXCEL/GOOG LE SHEETS HINTS 1. 2. The function to compute r is called CORREL. Highlighting the data and choosing insert then choosing the Scatterplot in the Chart section produces a scatterplot Click on the graph itself, then the giant + on the right. Check the add Trendline to get the regression line. To the right ofTrendline, click the arrow and choose More Options. If you scroll down, you can choose to have both the equation and R'- displayed on the chart. The SLOPE function computes the slope ofa regression line. The INTERCEPT function computes the intercept of a regression line