Two Miami Heat basketball fans are arguing about whether older players are more skilled in basketball or whether younger players are more skilled. One friend thinks that older players are actually more efficient and that they're more likely to make 3 pointers. They decide to look at a correlation to test this out. They look specifically at the correlation between player's age and the percentage of 3pointers (calculated by the number of 3 point shots made divided by the number of field goals attempted--with a higher score indicating more shots made). HEAT PLAYERS Bam Adebayo 3Pointer Percentage (y) Age (x) 25 8.3 Caleb Martin 27 35.6 Cody Zeller 30 0 Dewayne Dedmon 33 29.7 Dru Smith 25 16.7 Duncan Robinson 22 32.8 Gabe Vincent 26 33.4 Haywood Highsmith 26 33.9 Jamal Cain 24 35 Jamaree Bouyea 23 40 Jimmy Butler 33 35 Kevin Love 34 29.7 Kyle Lowry 37 34.5 Max Strus 27 35 Nikola Jovic 20 22.9 Omer Yurtseven 24 42.9 Orlando Robinson 22 0 Tyler Herro 23 37.8 Udonis Haslem 43 33.3 Victor Oladipo 31 33 Now it's time to calculate the correlation coefficient (Don't panic! It's not so bad!). Here is the formula to help you out! If you're struggling with this, be sure to read over the PowerPoint from this week to help you figure out which values should go where. There is a really helpful table in that PowerPoint that you should use to organize your data. Type your answer in the box below. Round to only three decimal places! Tzy er-cher-cn'] Question 2 Let's check to make sure you got the steps right for your calculation of ry in question 3. In the formula you used to calculate rxy, what was the value of (X)2 0.5 pts Question 3 Let's check to make sure you got the steps right for your calculation of rxy in question 3. In the formula you used to calculate rxy, what was the value of XY? Round your answer to one decimal place. 1 pts D Question 4 Let's check to make sure you got the steps right for your calculation of rxy in question 3. In the formula you used to calculate rxy, what was the value of xy? Round your answer to one decimal place. Question 5 What does this correlation coefficient represent (in other words, how can you interpret this correlation coefficient)? O No meaningful correlation between age and 3pointer percentage. A weak negative correlation between age and 3pointer percentage. A weak positive correlation between age and 3pointer percentage. A strong negative correlation between age and 3pointer percentage. OA causal relationship between age and 3pointer percentage. OA strong positive correlation between age and 3pointer percentage. 1 pts 0.5 pts P Question 7 Interpret this correlation coefficient. What does this mean for the relationship between age and three pointer percentage? Do players seem to make more three pointers or fewer three pointers as they get older? Was the claim that older players are more accurate correct? Why or why not? Edit View Insert Format Tools Table 12pt v Paragraph BIU < 18 < T O words 2 pts What is another possible explanation for this correlational relationship? Since this is just a correlation, we can't be sure if age causes changes in 3 pointer ability. So, what is one possible other explanation that you can come up with for the correlation that you calculated (hint: think about possible "third variable" explanations for this correlation---what other variables or factors might be causing changes in both x and y that could explain this correlation?). D Question 8 2 pts Come up with a variable that you think might be NEGATIVELY correlated with a player's 3 pointer accuracy. Explain this correlation (what does it mean that the two variables are negatively correlated?) and why you believe it is a negative correlation.