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Math Asked by a SnapAndSolve user · about 2 hours ago

Select the correct answer by entering the data from the table in your calculator. x | 1 | 2 | 3 | 4 | 5 | 6...

2) Select the correct answer by entering the data from the table in your calculator.
x | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8
y | 6.075 | 6.16 | 6.065 | 5.88 | 5.695 | 5.6 | 5.685 | 6.04
Find the equation of the line of best fit:
Use the equation to predict y when x = 9.
a. 15.86
b. 10.4
c. 23.75
d. y = 0.02x^3 - 0.18x^2 + 0.52x + 5.72
e. y = 0.15x^3 - 1.5x^2 + 4x + 10

Answer

  1. Using a calculator or statistical software, input the data points to find the line of best fit. The correct equation of the line of best fit is d. y = 0.02x^3 - 0.18x^2 + 0.52x + 5.72.

  2. Using the equation y = 0.02x^3 - 0.18x^2 + 0.52x + 5.72, substitute x = 9 to predict y:

    y = 0.02(9)^3 - 0.18(9)^2 + 0.52(9) + 5.72 = 0.02(729) - 0.18(81) + 4.68 + 5.72 = 14.58 - 14.58 + 4.68 + 5.72 = 10.4

    Therefore, the predicted value of y when x = 9 is b. 10.4.

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