# The following table shows total forest and timber land in the United States in millions of acres in the indicated year calculus homework help

 Question 1 0 / 20 points

The following table shows total forest and timber land in the United States in millions of acres in the indicated year.

 Year 1962 1970 1977 1987 1992 Timberland 759 754 737 731 737

A scatter plot of this data is shown below. 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 ab, 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.

 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?

Question options:

 a = 1.23 b = -3.27 c = 7.83 R2 = 0.87394 a = -3.745 b = 9.524 c = 12.105 R2 = 0.1420 a = 142.3629 b = 204.2284 c = -428.2079 R2 = 0.9328 a = 35.29 b = 29.94 c = -10.23 R2 = 0.0139
 Question 5 20 / 20 points

Given the three points (0,2), (1,-3) and (2,-5) find the formula for the parabola that contains all three points.

Question options:

 y = .05x2-.17x+.14 y = .04x2-.16x+.14 y = 1.5x2+6.5+2 y = 1.5x2-6.5x+2