SOLUTION: Use a graphing calculator to find the equation of the curve of best fit for the data. time (x) 0.2 0.4 0.6 0.8 1.0 distance (y) 0.5 2.2 4.9 8.7 13.6 C

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Use a graphing calculator to find the equation of the curve of best fit for the data. time (x) 0.2 0.4 0.6 0.8 1.0 distance (y) 0.5 2.2 4.9 8.7 13.6 C      Log On


   

Question 629598: Use a graphing calculator to find the equation of the curve of best fit for the data.
time (x) 0.2 0.4 0.6 0.8 1.0
distance (y) 0.5 2.2 4.9 8.7 13.6
Choose one answer.
a. y = 13.39x^2 + 0.28x - 0.08
b. y = 14.6x^2 - 1.49x + 0.51
c. y = 13.21x^2 - 1.47
d. y = 13x^2 - 0.3x + 0.1

Found 2 solutions by ewatrrr, AnlytcPhil:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi, Previously Posted

f(x) = 13.39x^2 + 0.28x - 0.08 

Rounding to one decimal point.

f(.2) =.5

f(.4) = 2.2

f(.6) = 4.9

f(.8) = 8.7

f(1) = 13.6

Answer by AnlytcPhil(1806) About Me  (Show Source):
You can put this solution on YOUR website!
Use a graphing calculator to find the equation of the curve of best fit for the data.
time (x) 0.2 0.4 0.6 0.8 1.0
distance (y) 0.5 2.2 4.9 8.7 13.6
On your TI-84,

press STAT
press 1

enter the x values in L1
enter the y values in L2

press STAT
press right arrow to highlight CALC
press 5

  see
          QuadReg
      Xlist:L1
      Ylist:L2
      FreqList:
      Store RegEQ:
      Calculate

Scroll down to Calculate

press ENTER

  see
          QuadReg
      y=ax²+bx+c
      a=13.39285714
      b=.2785714286
      c=-.08
      R²=.9999896992

Choice a. y = 13.39x^2 + 0.28x - 0.08

Edwin