4A/H Quadratic 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.

• $-18x^2+2.11x+4.21$
  

• $-0.06x^2+1.06x+7.9$
  

• $-6x^2+1.06x+79$
  

• $-0.12x^2+2.11x+4.22$

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.

• $1.2x^2+13x+504.3$

• $12x^2+13x+504.3$
  

• $0.12x^2+1.3x+504.3$
  

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? 

•  $P\left(t\right)=-0.21x^2+2.08x+22.96$  

•  $P\left(t\right)=-.2x^2+2x+22.9$  

•  $P\left(t\right)=-.2x^2+2.1x+23.0$  

•  $P\left(t\right)=-.2x^2+2.1x+22.9$  

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