6. A random sample of ten professional athletes produced the following data where x is the number of endorsements the player has and v is the amount of money made (in millions of dollars}. No y y: x x1 x y 1 2 4 O 0 0 2 8 3 3 7 2 4 3 1 S 13 5 6 12 5 7 9 4 8 9 3 9 3 0 10 10 4 Sum Std deviation Average a. Complete the table above. (3 points} b. Using the formula below, calculate the Pearson's correlation coefcient, r. Use the calculations from the table above and show your work. (3 points) (LYN 211'} My c. Determine the significance of the calculated Pearso n's r, using the formulas below and the t-table provided at the end of this document. State the hypotheses and show your work. (3 points) SWEI': d. Using the equations below and information from the table above, calculate the coefcients of the regression equation and write the final regression equation. Show your work. (3 points) _ 5; br Y=a+bx d. Using the equations below and information from the table above, calculate the coefficients of the regression equation and write the final regression equation. Show your work. (3 points) b=rz SX y = a+bx Answer: e. Calculate the coefficient of determination, R2. (2 points) Answer: f. What percentage of the variance in the dependent variable (amount of money) is explained by the independent variable (number of endorsements) (1 point) Answer: g. Use Excel to draw a scatter plot of the data, insert a linear trendline, the regression line equation and the coefficient of determination. Copy and paste the graph on the next page. (2 points)