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uysha [10]
2 years ago
15

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) = 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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