Calculate the SSE for the quadratic regression function , calculus homework help
Need help with the ones I got wrong. The other persons did not answer correctly.
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 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?
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 |