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.SSE.A.1

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

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.2

CCSS.HSA.SSE.A.1

CCSS.HSA.CED.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.HSF.IF.A.2

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

(a)  

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??

(a)  

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!

(a)  

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSS.ID.C.7