Answer:
The value of a is 150 and b is 4822.
Explanation:
First, you have to expand to remove brackets :
![(5372 + 100 {y}^{2} ) + 5(10 {y}^{2} - 110)](https://tex.z-dn.net/?f=%285372%20%2B%20100%20%7By%7D%5E%7B2%7D%20%29%20%2B%205%2810%20%7By%7D%5E%7B2%7D%20%20-%20110%29)
![= 5372 + 100 {y}^{2} + 50 {y}^{2} - 550](https://tex.z-dn.net/?f=%20%3D%205372%20%2B%20100%20%7By%7D%5E%7B2%7D%20%20%2B%2050%20%7By%7D%5E%7B2%7D%20%20-%20550)
Next, you have to simplify :
![100 {y}^{2} + 50 {y}^{2} + 5372 - 550](https://tex.z-dn.net/?f=100%20%7By%7D%5E%7B2%7D%20%20%2B%2050%20%7By%7D%5E%7B2%7D%20%20%2B%205372%20-%20550)
![= 150 {y}^{2} + 4822](https://tex.z-dn.net/?f=%20%3D%20150%20%7By%7D%5E%7B2%7D%20%20%2B%204822)
Next, you have to compare it :
![a {y}^{2} + b = 150 {y}^{2} + 4822](https://tex.z-dn.net/?f=a%20%7By%7D%5E%7B2%7D%20%20%2B%20b%20%3D%20150%20%7By%7D%5E%7B2%7D%20%20%2B%204822)
![a = 150](https://tex.z-dn.net/?f=a%20%3D%20150)
![b = 4822](https://tex.z-dn.net/?f=b%20%3D%204822)
The given statement about the correlation between two variables is; False
<h3>Pearson's correlation coefficient </h3>
Pearson's correlation coefficient is the measure of linear correlation between two sets of data.
Pearson's r is always between the values of -1 and +1.
In that range, -1 denotes a perfect negative while +1 denotes a perfect positive relationship and 0 denotes the perfect absence of a relationship.
Finally, Pearson's r is symmetric and as such the correlation between two variables x and y must be the same as the correlation between y and x.
Thus, if the correlation between x and y is 0.8, then the correlation between y and x must be also 0.8 and not -0.8 as the question states.
Read more about Pearson's correlation coefficient at; brainly.com/question/4117612
Answer:
a large dance star
Explanation:
because it is bigger and heavier
The function shown in the graph in the image attached below is
.
<u>Given the following data:</u>
- Points on the x-axis = (0, 4)
- Points on the y-axis = (0, 4)
First of all, we would determine the slope of this line by using the following formula;
![Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=Slope.%20%5C%3Bm%20%3D%20%5Cfrac%7BChange%20%5C%3B%20in%20%5C%3B%20y%20%5C%3Baxis%7D%7BChange%20%5C%3B%20in%20%5C%3B%20x%20%5C%3Baxis%7D%20%5C%5C%5C%5CSlope.%20%5C%3Bm%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D)
Substituting the points into the formula, we have;
![Slope. \;m = \frac{4 - 0}{4 - 0}\\\\Slope. \;m = \frac{4}{4}\\\\](https://tex.z-dn.net/?f=Slope.%20%5C%3Bm%20%20%3D%20%5Cfrac%7B4%20-%200%7D%7B4%20-%200%7D%5C%5C%5C%5CSlope.%20%5C%3Bm%20%20%3D%20%5Cfrac%7B4%7D%7B4%7D%5C%5C%5C%5C)
Slope, m = 1
Next, we would find the intercept:
Let x = 0, for the y-intercept.
![y=mx+b\\\\4=1(0)+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb%5C%5C%5C%5C4%3D1%280%29%2Bb)
b = 4
Therefore, the function shown in the graph in the image attached below is ![y=|x-4|](https://tex.z-dn.net/?f=y%3D%7Cx-4%7C)
Read more on slope here: brainly.com/question/3493733