Question 10 / 20 pointsThe following table shows total forest and timber land in the United States in millions of acres in the indicated year.Year19621970197719871992Timberland759754737731737A 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 – 2114.460Question 20 / 20 pointsThe following table shows total forest and timberland in the United States in millions of acres in the indicated year.Year19621970197719871992Timber Land759754737731737Calculate 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 +141432.488Question 30 / 20 pointsUse 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:627.2Question 420 / 20 pointsGiven 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 = 1.23b = -3.27c = 7.83R2 = 0.87394a = -3.745b = 9.524c = 12.105R2 = 0.1420a = 142.3629b = 204.2284c = -428.2079R2 = 0.9328a = 35.29b = 29.94c = -10.23R2 = 0.0139Question 520 / 20 pointsGiven the three points (0,2), (1,-3) and (2,-5) find the formula for the parabola that contains all three points.Question options:y = .05×2-.17x+.14y = .04×2-.16x+.14y = 1.5×2+6.5+2y = 1.5×2-6.5x+2
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