Answer:
![r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bn%28%5Csum%20xy%29-%28%5Csum%20x%29%28%5Csum%20y%29%7D%7B%5Csqrt%7B%5Bn%5Csum%20x%5E2%20-%28%5Csum%20x%29%5E2%5D%5Bn%5Csum%20y%5E2%20-%28%5Csum%20y%29%5E2%5D%7D%7D)
And for this case 
The % of variation is given by the determination coefficient given by 
and on this case 
, so then the % of variation explained is 20.25%.
The proportion of the variability seen in final grade performance that can be predicted by math ability scores is 20.25%.
Step-by-step explanation:
For this case we asume that we fit a linear model:
Where y represent the final grade and x the math ability scores
Where:
And we can find the intercept using this:
The correlation coeffcient is given by:
And for this case
The % of variation is given by the determination coefficient given by and on this case , so then the % of variation explained is 20.25%.
The proportion of the variability seen in final grade performance that can be predicted by math ability scores is 20.25%.
Answer:
Children=21 Adult=35
Step-by-step explanation:
[using c for children tickets and a for adult tickets]
56=c+a and 203=3c+4a [starting system of equations]
a=56-c ---> 203=3c+4(56-c) [plugging the first eq. into the second]
203=3c+224-4c [simplify]
-21=-c [simplify 2.0]
c=21 [simplify 3.0]
56=21+a [plugging back into org. eq.]
so a=35
Answer:
The hypotenuse of a right triangle is always the side opposite the right angle. It is the ... The other two sides are called the opposite and adjacent sides. ... functions—sine, cosine, and tangent—which are defined using the words hypotenuse, opposite, and adjacent. ... Side ratios in right triangles as a function of the angles.
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
2 / (2/3) = 2 * 3/2 = 6/2 = 3
