The regression line closely follows the conditional means of Y. True or false
1 answer:
True
<u>Explanation:</u>
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PRF specifies the relationship (in the population) between the mean (average) value of the dependent variable (Y) corresponding to each value of the independent variable (X). This relationship may be specified algebraically as . Graphically, the population regression line is a line that passes through the conditional means of Y. SRF specifies the relationship (in the sample) between the
, estimator of
, or the estimator of the population conditional mean, and its primary determinant X. Algebraically, it may be written as
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Answer:
The domain that makes sense for this function is all values greater than or equal to 0.
Step-by-step explanation:
A ball is thrown into the air from a height of 4 feet at time <em>t</em> = 0. It is modeled by the function:
The domain of the function is time <em>t</em>. The range of the function is the ball's height in the air <em>h</em>.
Since time is our domain, we must restrict our domain to values equal to or greater than 0 since time cannot be negative.
Therefore, the domain that makes sense for this function is all values greater than or equal to 0.
In interval notation, this is:
And as an inequality:
Using integration, it is found that the area under the graph of f(x) in the desired interval is of 1 unit squared.
<h3>How is the area under a graph found?</h3>The area under the graph of a curve f(x) between x = a and x = b is given by the following integral:
In this problem, the function and the limits of integration are given by:
Hence:
Using substitution:
Hence:
Applying the Fundamental Theorem of Calculus:
Hence, the area under the graph of f(x) in the desired interval is of 1 unit squared.
To learn more about integration, you can take a look at brainly.com/question/20733870