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kompoz [17]
2 years ago
9

A set of X and Y scores has a regression equation with a slope of b = 4. If the mean for the X values is MX = 2 and the mean for

the Y values is MY = 6, what is the Y-intercept value for the regression equation?​
-2
-22
4
-4
Mathematics
1 answer:
Rom4ik [11]2 years ago
6 0

Answer:

-2

Step-by-step explanation:

In a linear regression model we have the equation Y = b_{1}X + b_{0} that relates X and Y, where b_{1} is the estimator of the slope and b_{0} is the estimator of the Y-intercept. The coefficients b_{1} and b_{0} can be estimated with the equations:

b_{1} = \frac{S_{xy}}{{S^{2}}_{x}}

b_{0} = MY-b_{1}MX. Thus,

b_{0} = 6 - (4)(2) = -2

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Y = 2x + 1 y = 3x - 1
yuradex [85]

Answer:

i think the answer is B

Step-by-step explanation:

5=6-1

5=5

6 0
3 years ago
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Fred has a bag containing 12 black marbles, 10 red marbles, and 15 white marbles .
-Dominant- [34]

Answer:

I dont understand your question but I'm going to assume that you want to add those numbers the answer would be 37 marbles in total

7 0
3 years ago
Using the simple random sample of weights of women from a data​ set, we obtain these sample​ statistics: nequals45 and x overbar
Tomtit [17]

Answer: (141.1, 156.48)

Step-by-step explanation:

Given sample statistics : n=45

\overline{x}=148.79\text{ lb}

\sigma=31.37\text{ lb}

a) We know that the best point estimate of the population mean is the sample mean.

Therefore, the best point estimate of the mean weight of all women = \mu=148.79\text{ lb}

b) The confidence interval for the population mean is given by :-

\mu\ \pm E, where E is the margin of error.

Formula for Margin of error :-

z_{\alpha/2}\times\dfrac{\sigma}{\sqrt{n}}

Given : Significance level : \alpha=1-0.90=0.1

Critical value : z_{\alpha/2}=z_{0.05}=\pm1.645

Margin of error : E=1.645\times\dfrac{31.37}{\sqrt{45}}\approx 7.69

Now, the 90% confidence interval for the population mean will be :-

148.79\ \pm\ 7.69 =(148.79-7.69\ ,\ 148.79+7.69)=(141.1,\ 156.48)

Hence, the 90​% confidence interval estimate of the mean weight of all women= (141.1, 156.48)

3 0
3 years ago
Evaluate –10 • x • 5 when x = –1.<br><br><br> –50<br><br><br> –15<br><br><br> 6<br><br><br> 50
Rudiy27
The answer is 50 ! :-)
4 0
2 years ago
A rocket lifted off from a launch pad and traveled vertically 30 km, then traveled 40 km at 30 degrees from the vertical, and th
nika2105 [10]
Well, we are told that in the beginning, it has traveled 30km vertically, so do not forget to add that on at the end.

Next it says that it traveled 40km 30 degrees from vertical, so we set up a sin equation to solve for the missing side, n:

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sin(30) = n/40

40sin30=n

n=20km

Then it says at an angle of 45 degrees, it goes 100km. This means that we are given the hypotenuse of a right triangle, and we need to find the side that goes up and down. We shall call this length x.

We know that the angle opposite x is 45 degrees.

So, we will use sin to solve for x:

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100sin45=x

x=70.711km

But remember, I said not to forget about that 30km from the very beginning? So we add up all of our vertical heights:

30km + 20km+ 70.711km = 120.711km
3 0
3 years ago
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