HELP PLS I'm having a lot of trouble on this question
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Answer:
Regression function:
The function predicts that population will reach 14,000 in year 2068.
Step-by-step explanation:
We have to determine a function by applying linear regression. The data we have is 5 pair of points which relates population to year.
According to the simple regression model (one independent variable), if we minimize the error between the model (the linear function) and the points given, the parameters are:
We start calculating the average of x and y
The sample covariance can be calculated as
The variance of x can be calculated as
Now we can calculate the parameters of the regression model
The function then become:
With this linear equation we can predict when the population will reach 14,000:
Given:
The graph of a function.
To find:
The domain on which of the following function is increasing.
Solution:
Domain is the set of x-values or input values.
From the given graph it is clear that the vertex of the given function is at (4,75).
Before the point (4,75) the graph is increasing and after the point (4,75) the graph is decreasing.
The function is defined for .
Since the graph is increasing when , therefore the function is increasing over the interval [0,4].
Therefore, the domain on which of the following function is increasing is [0,4].