Writing Quadratic Equations Regression

The data can be modeled by the quadratic function

y = ​ (a)  

Find the quadratic regression equation for the relationship of the horizontal distance and the height of the ball in the provided table.

Find the height of the ball when it traveled a distance of 10 feet.

• 12.8 ft

• 13.5 ft

• 11.1 ft

• 17 ft

Find the best fitting quadratic model for the data given.

Find the population for 1975.

HINT: Read the headers on the table!

• 623 thousand people

• 650 thousand people

• 599 thousand people

• 513 thousand people

Use the given points to find the equation of the line of best fit (regression equation).

Enter your answer as y=ax^2+bx+c

The table shows the population of a town from 1996 to 2004. Assume that t is the number of years since 1996 and P is measured in thousands of people.
Which of the following is the model that best fits the data rounded to the nearest tenth? 

Based on the table, which function can best be used to model this situation?

• h(t) = 99t² + 858

• h(t) = -4.9t² + 295t + 0.6

• h(t) = -4.9t² + 295t + 2

• h(t) = 99t² + 1,470.3

Which of the following quadratic equations best represents the following data?

• y = 7x² - 3x

• y = 3x² - 2x + 1

• y = 6x² + 3x - 2

• y = 7x² - 3x + 1

Calculate the quadratic regression function for this table of values to the nearest tenth.

• f(x) =
   2x² - 9x + 10
• f(x)=
   3x² + 9x - 10
• f(x) =
   3.1x² - 9.2x - 10.3
• f(x) =
  2.1x² - 8.6x + 10.1