The horizontal variable is the number of years since 1962 and ranges between 0 and 30. Use quadratic regression to find a quadratic function to model the data. Enter your answer in the form y = ax^2+bx+c,where a, b, and c have been rounded to three decimal places.
Important note: Do not include spaces in your answer and use the "^" symbol for exponentiation just as on the calculator.
Answer: y=-65.504x^2+ 954.658x - 2114.460
Question 2 0 / 20 points
The following table shows total forest and timberland in the United States in millions of acres in the indicated year.
Year
1962
1970
1977
1987
1992
Timber Land
759
754
737
731
737
Calculate the SSE for the quadratic regression function (with coefficients rounded to three decimal places) from the previous question. Round your answer to one decimal place.
Answer: 0.036 X^2 -142.337 X +141432.488
Question 3 0 / 20 points
Use the quadratic regression function (with coefficients rounded to three decimal places) to estimate the acerage of timberland in 1982. Round your answer to one decimal place.
Answer: 627.2
Question 4 20 / 20 points
Given four different data sets, a student calculates the quadratic regression as well as the R2 value for each using a TI-83. Which of these results models its respective data the best?