Answer:
C) 0.19
Step-by-step explanation:
A correlation coefficient is a measure of how well the line of best fit fits the data. The higher the correlation coefficient, up to 1.0 or -1.0, the better the fit. A positive correlation coefficient means an increasing data set, while a negative correlation coefficient means a decreasing data set.
We can see that this line of best fit is increasing, so our correlation coefficient will be positive.
However we can also see that the points are fairly scattered; this means this is not a very good fit. This means that 0.19 is the better fit.
Dy/dx=25, 35, 45, 55
d2y/dx2=10,10,10 (this constant just proves that it is a quadratic relation)
Now we can set up a system of equations for ax^2+bx+c
16a+4b+c=80, 9a+3b+c=45, 4a+2b+c=20 getting differences
7a+b=35, 5a+b=25 and again
2a=10, a=5, making 7a+b=35 become:
7(5)+b-35, b=0, making 4a+2b+c=20 become:
4(5)+2(0)+c=20, c=0 so
y=5x^2
So the constant of variation for this quadratic is 5.
Answer:
woa
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Step-by-step explanation: