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2 years ago

The following table gives projections of the U.S. population from 2000 to 2100.

Mathematics

1 answer:

PSYCHO15rus [73]2 years ago

3 0

The equation of best fit is $f(X) = 2.91964X + 265.86364$ .

$f(65) = 455.64024$ . It means that the population, in millions, after $65$ years from $2000$ is $455.64024$ .

The slope of the line is $2.91964$ which means population is increasing at the rate of $2.91964$ per year.

Sum of $X = 550$

Sum of $Y = 4530.3$

Mean $X = 50$

Mean $Y = 411.8455$

Sum of squares (SSX) $= 11000$

Sum of products (SP) $= 32116$

Regression Equation $= y = bX + a$

$b = \frac{SP}{SSX} = \frac{32116}{11000} = 2.91964$

$a = MY - bMX = 411.85 - (2.92*50) = 265.86364$

$y = 2.91964X + 265.86364$

$f(X) = 2.91964X + 265.86364$

$f(65) = 2.91964\times 65 + 265.86364$

$f(65) = 189.7766 + 265.86364$

$f(65) = 455.64024$

It means that the population, in millions, after $65$ years from $2000$ is $455.64024$ .

From the equation, $f(X) = 2.91964X + 265.86364$

the slope of the line is $2.91964$ which means population is increasing at the rate of $2.91964$ per year.

Learn more about line of best fit here:

brainly.com/question/14279419?referrer=searchResults

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$\frac{\begin{matrix}\:\:&5&.&\textbf{3}&1&6\\ -&1&.&\textbf{9}&4&2\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\textbf{\:\:}&\:\:&4\end{matrix}}$

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2 years ago

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Marysya12 [62]

Answer:

hope it helps mark me brainlieast!

Step-by-step explanation:

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