What is the vertex form of the quadratic function that has a vertex at (4,3)
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Answer:
Range = 2460 dollars, Variance = 516414.6 , Standard deviation = 718.6199 dollars . There are two outliers and they are likely to have much of an effect on the measures of variation.
Step-by-step explanation:
The smallest value in the sample data is min = 50 dollars and the largest value is max = 2500 dollars, therefore, the range is Range = max - min = 2500 - 40 = 2460 dollars. On the other hand, the formula to compute the sample variance is where
is the sample mean, n is the sample size and the
are the sample values. In this case the sample variance is
= 516414.6
, the sample standard deviation is defined as the squared root of the sample variance, so, the sample standard deviation is s = 718.6199 dollars. There are two outliers because 1750 dollars and 2500 dollars are very different compared to the other values, these two numbers are very large and they are likely to have much of an effect on the measures of variation because these measures are sensible to outliers, they are no robust measures.
First find the slope between any two points:
Where
are the two points
So calculating the slope:
So the slope is
And our equation will be in the format of
where
and 
So, now we have half of the equation:
Now to calculate b, we can plug in a point
and solve for b.
So
Lets use the point
So:
And then:
So our final equation is
Where
So calculating the slope:
So the slope is
And our equation will be in the format of
where
So, now we have half of the equation:
Now to calculate b, we can plug in a point
So
Lets use the point
So:
And then:
So our final equation is