Quadratic Regression Practice

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

• $-18x^2+2.11x+4.21$
  

• $-0.06x^2+1.06x+7.9$
  

• $-6x^2+1.06x+79$
  

• $-0.12x^2+2.11x+4.22$

Tags

CCSS.HSA.CED.A.2

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

Find the best fitting quadratic model for the data given.

• $1.2x^2+13x+504.3$

• $12x^2+13x+504.3$
  

• $0.12x^2+1.3x+504.3$
  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

Find the population for 1975.

HINT: Read the headers on the table!

• 623 thousand people

• 650 thousand people

• 599 thousand people

• 513 thousand people

Tags

CCSS.HSA.SSE.A.1

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSS.ID.B.6

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? 

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

•  $P\left(t\right)=-.2x^2+2x+22.9$  

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

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

"Use the results of the regression shown to predict the population in 2007. "

What value of x will you be plugging into your equation??

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSS.ID.C.7

Using the regression equation rounded to TWO decimal places, what would be the estimated population for the year 2007?

*Your answer should be a whole number in the thousands!

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSS.ID.C.7