Problems (13 ptsl Be sure to show your work for problems that require calculation. Begin by writing the general form of the equation you are using. 1. This data is based on information collected about the administrative costs as a percentage of the total cost for a claim for various numbers of employees in a group health insurance plan. (8 pts) Number of Employees a. Using the information, make a rough scatterplot of the data. (1 pt) b. Calculate the missing mean and standard deviation, then calculate the correlation coefficient. (5 pts) c. Describe the relationship between administrative costs and number of employees based on your scatterplot and correlation coefficient. (2 pt) 2. Here is a scatter plot from a set of data on US education. The correlation between public spending on education and enrollment in post-secondary (college) is 0.69. US Spending on Education vs Post-Secondary Enrollment g [M \"a 95 90 . = 35 o u 0 a i so a o ' o ' G E 75 .g I W 70 . l E 65 I 'E 60 u E 55 El 50 E 47 49 51 53 5.5 5.7 59 Fublit spending on education, total (9:. of GDP) Removing one specific point from this chart changes the strength of the correlation to .64. Which point in the chart would have that effect (estimate from the chart)? How do we describe a point with this effect? (0.5 pts) 3. You and your friend join a new yoga studio that requires a one-time joining fee and monthly payments. (4.5 pts) a. If your friend stays with this studio for 14 months and pays $355 while you stay for 26 months and pay $535, write a linear function that describes the cost of studio membership, C,' in terms of the number of months, In (2.5 pts) b. What is the cost per month and what is the joining fee? (1 pt) c. Determine the maximum number of months one can stay with this gym for $600. (1 pt)