2 a-e

2. The table lists the balances at the end of each year for a 15- Balance year, $50,000 loan with an 8% interest rate. a. Write a linear regression equation that approximates the 0 $50,000.00 year-loan balance relationship. $48 201.08 2 $46 252.85 3 $44.142.91 $41,857.85 b. Write a quadratic regression equation that approximates 5 $39,383.13 the year-loan balance relationship. $36,703.01 $33,800.44 $30.656.96 C. Write a cubic regression equation that approximates the g $27 252.57 year-loan balance relationship. 10 $23.565.62 11 $19.572.66 12 $15.248.28 $10.564 98 d. Which equation best models the year-loan relationship $5.492 97 here? Explain how you know. 15 50.00 e. Use the "best model" equation to approximate the loan balance for year 8. Show the algebraic work