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oksian1 [2.3K]
3 years ago
5

Which of these statements is best? The errors in a regression model are assumed to have an increasing mean. The regression model

assumes the error terms are dependent. The errors in a regression model are assumed to have zero variance. The regression model assumes the errors are normally distributed.
Mathematics
1 answer:
frutty [35]3 years ago
8 0

Answer:

\epsilon = Y -X\beta

And the expected value for E(\epsilon) = 0 a vector of zeros and the covariance matrix is given by:

Cov (\epsilon) = \sigma^2 I

So we can see that the error terms not have a variance of 0. We can't assume that the errors are assumed to have an increasing mean, and we other property is that the errors are assumed independent and following a normal distribution so then the best option for this case would be:

The regression model assumes the errors are normally distributed.

Step-by-step explanation:

Assuming that we have n observations from a dependent variable Y , given by Y_1, Y_2,....,Y_n

And for each observation of Y we have an independent variable X, given by X_1, X_2,...,X_n

We can write a linear model on this way:

Y = X \beta +\epsilon

Where \epsilon_{nx1} i a matrix for the error random variables, and for this case we can find the error ter like this:

\epsilon = Y -X\beta

And the expected value for E(\epsilon) = 0 a vector of zeros and the covariance matrix is given by:

Cov (\epsilon) = \sigma^2 I

So we can see that the error terms not have a variance of 0. We can't assume that the errors are assumed to have an increasing mean, and we other property is that the errors are assumed independent and following a normal distribution so then the best option for this case would be:

The regression model assumes the errors are normally distributed.

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2. My bank account contains pesos 3021 and make monthly withdrawals of pesos 78 for 12 months. What is my new bank balance.
Agata [3.3K]

Answer:

ok I will try solve your problem. good luck

Step-by-step explanation:

a. known: Bank balances : 3021 pesos

monthly withdrawals: 78 pesos

months of withdrawal: 12 months

b. asked: new bank balance?

c. equation: New bank balance= bank balance - ( monthly withdrawals X months of withdrawal)

d. New bank balance: 3021- (78x12)

= 3021 - 936

= 2085 pesos

e. my new bank balance is 2085 pesos.

4 0
1 year ago
What is 69/8 as mixed number?
Dafna1 [17]
There you go
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5 0
2 years ago
Find the solutions of the equation f(x)=(x+3)(x-b)
Lapatulllka [165]
The answer for this solution is D
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5 0
2 years ago
A negative correlation means ________. Group of answer choices there is a relationship between two variables, but it is not stat
lisov135 [29]

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Step-by-step explanation:

5 0
3 years ago
What is the value of cos(150°)?
baherus [9]

ANSWER

-\frac{\sqrt[]{3}}{2}

EXPLANATION

Given

\begin{gathered} \cos \text{ 150} \\  \end{gathered}

We can find cos 150 by using

\begin{gathered} \cos (180-\theta)=-\cos \theta \\ \Rightarrow\cos (180-\theta) \\ =-\cos 30 \end{gathered}

recall that

\begin{gathered} \cos 30=\frac{\sqrt[]{3}}{2} \\  \end{gathered}

Hence,

\begin{gathered} \cos 150=-\cos 30 \\ =-\frac{\sqrt[]{3}}{2} \\  \end{gathered}

Therefore, the value of cos 150 is

-\frac{\sqrt[]{3}}{2}

4 0
1 year ago
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