Question

Help me find the answer please for both questions 3 and 4
please give the correct answer I will give brainless or many points
I need the answer for my math homework!!​

Answer 1

Answer:

3)  y = 1.209x² + 12.999x + 504.257

4) 4,177,000

Step-by-step explanation:

To find the best-fitting quadratic model for the given data, input the data into a quadratic regression tool or statistical calculator.

After entering the data into a statistical calculator we get:

• a = 1.209285714...
• b = 12.998571428...
• c = 504.257142857...

Substitute the found values of a, b and c into the quadratic regression formula, y = ax² + bx + c, rounding each coefficient to 3 decimal places:

$y=1.209x^2 + 12.999x + 504.257$

To estimate the population in 2020, substitute x = 50 into the model (as 2020 is 50 years after 1970):

$y=1.209(50)^2 + 12.999(50) + 504.257$

$y=1.209(2500) + 12.999(50) + 504.257$

$y=3022.5 + 649.95 + 504.257$

$y=4176.707$

$y=4177$

Therefore, the estimated population in 2020 is 4,177 thousand, which is equal to 4,177,000.