Answer:
c. y? =+4.198 x
Step-by-step explanation:
Hello!
Using the given data you need to estimate the equation of linear regression.
Dependent variable:
Y: Annual percentage change in stock price for a company.
Independent variable:
X: Annual percentage change in profits for the company.
The population regression line equation is:
To estimate the equation you need to find the point estimator for α and β.
The following formulas are the ones to use:
α ⇒ a= y[bar] - bX[bar]
β ⇒ b= (∑xy - [(∑x)(∑y)]/n)/(∑X²-(∑x)²/n)
As you can see you need to make several summatories before calculating the values of a and b:
n= 7
∑x= 36.30
∑x²= 667.09
∑y= 51.60
∑y²= 747.98
∑xy= 560.74
Sample mean of de dependent variable Y[bar]= ∑y/n= (51.60/7)= 7.37
Sample mean of the independent variable X[bar]= ∑x/n= (36.30/7)= 5.19
b=
b= 0.6122
a=
a= 4.196
The estimated regression equation is:
Y= 4.196 + 0.6122x
I hope it helps!
If you are talking about the equation then it's 16+5x=y
So if she does two more hours then it would be 16+(5•2)=y
16+10=y
26=y
Factor 8x+16
It would be 4(2+4x)
So the student made a mistake in step 2
It should be 4(2)+4(4x)
Answer C
What is a half? 1/2 = .5
Four quarters make a whole. So one is 1/4 = .25
.125 for an eighth
.0625 for a sixteenth
Answer: 2 times sqrt(181) (approximately 26.9)
Step-by-step explanation:
First, we can plot these points on a graph. Then, we’ll use the Distance Formula to calculate the distance between the two points, which is sqrt(181).
Since the problem tells us that one of our coordinates is the midpoint of K, we know that the length of the segment we just calculated is 1/2 of K. We can multiply our answer to get that K is 2 times sqrt(181).