regression modeling

After plotting the data where x represents the length of the side of a polygon, and f(x) represents the area of the polygon, Jack used technology and determined the appropriate model to approximate the area of the polygon, f(x) = x2 + 2x + 5. Use the model Jack created to predict the area of a polygon that has a side length of 3.

20

After plotting the data where t represents the number of hours since time t=0, Kieran used technology and determined the appropriate model to approximate the number of bacteria after t hours is f(t) = 5(4)t. Use the model Kieran created to predict the number of bacteria after 3 hours.

320

Differentiate which of the following models best fits the data. (-2,0.25), (0,0.5), (1,2), (3,6), (5,12)

f(x) = (2)^x

Differentiate which of the following models best fits the data. (-2,-11), (0,-3), (1,-2), (3,-6), (5,-18)

f(x) = - x2+ 2x - 3

Differentiate which of the following models best fits the data. (-2,-1), (0,1), (1,2), (3,4), (5,6)

f(x) = - x^2+ 2x - 3

Use technology to create an appropriate model of the data. (-1,0), (1,-4), (2,-3), (4,5), (5,12)

f(x) = x^2 - 2x - 3

Using technology, we determined that Mary's investment account can be modeled by the function, M(x) = 4.96(2.18)x in thousands of dollars. What was Mary's initial investment?

$4,960

Use technology to create an appropriate model of the data. (-2,-9), (0,-3), (1,0), (3,6), (5,12)

f(x) = 3x - 3

Which of the following tools should be used to calculate the most accurate model for a set of data?

graphing paper