Question

Help me!!! I need help ASAP

Answer 1

9514 1404 393

Answer:

  y = 3.02x^3 -5.36x^2 +5.68x +8.66

Step-by-step explanation:

Your graphing calculator (or other regression tool) can solve this about as quickly as you can enter the numbers. If you have a number of regression formulas to work out, it is a good idea to become familiar with at least one tool for doing so.

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If you're trying to do this by hand, the x- and y-values give you 4 equations in the 4 unknown coefficients.

  a·1^3 +b·1^2 +c·1 +d = 12

  a·3^3 +b·3^2 +c·3 +d = 59

  a·6^3 +b·6^2 +c·6 +d = 502

  a·8^3 +b·8^2 +c·8 +d = 1257

Solving this by elimination, substitution, or matrix methods is tedious, but not impossible. Calculators and web sites can help. The solutions are a = 317/105, b = -75/14, c = 1193/210, d = 303/35. Approximations to these values are shown above.