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solmaris [256]
3 years ago
11

For simple linear regression, y = β0 + β1x + u, which one of the following statements is true?

Mathematics
1 answer:
RSB [31]3 years ago
6 0

Answer:

Option a) u is called the "error term". It is the error we make in prediction

Option d) x is called the independent variable because x is independent from y and u.

Step-by-step explanation:

We are given the following information in the question:

y = \beta_0 + \beta_1x + u

where y is the dependent variable, x is the independent variable.

\beta_0: It is the value of y when x is zero, that is y-intercept.

\beta_1: It is the coefficient of x in predicting the dependent variable y.

u is the error term.

  • An error term represents the margin of error.
  • It refers to the sum of the deviations within the regression line, that is the difference between the predicted value and the observed value of y.

Thus, Option A) u is the error term and Option D)  x is called the independent variable because x is independent from y and u are the correct answer.

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The second term of the given sequence aₙ = -5(n² + 1n) when solved gives us; a₂ = -20

<h3>How to find the nth term of a sequence?</h3>

We are given the formula for a sequence as;

aₙ = -5(n² + 1n)

Where n is the position of the term.

Now, for the first term, we will have;

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The second term of the sequence is;

a₂ = -5(2² + 1(2))

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Read more about Sequence at; brainly.com/question/6561461

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