Quadratic Regression

Quadratic Regression

7th - 12th Grade

10 Qs

quiz-placeholder

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Quadratic Regression

Quadratic Regression

Assessment

Quiz

Mathematics

7th - 12th Grade

Practice Problem

Hard

CCSS
HSA.CED.A.2, HSA.CED.A.1, HSF.IF.B.4

+10

Standards-aligned

Used 80+ times

FREE Resource

About this resource

This quiz focuses on quadratic regression, a fundamental topic in Algebra 2 that bridges algebraic manipulation with real-world data analysis. Designed for students in grades 9-12, these problems require students to interpret quadratic models, find best-fitting equations from data sets, and apply these models to solve practical problems involving projectile motion, population growth, and optimization scenarios. Students must demonstrate proficiency in reading quadratic equations in standard form, substituting values into functions, interpreting coefficients in context, and understanding the vertex form to find maximum or minimum values. The problems demand strong algebraic skills including working with squared terms, negative coefficients, and decimal precision, while also requiring students to connect mathematical models to physical phenomena like the trajectory of thrown objects and falling rafts. This quiz was created by a classroom teacher who designed it for students studying quadratic functions and regression analysis in grades 9-12. The assessment serves multiple instructional purposes, working effectively as a formative assessment to gauge student understanding of regression modeling, as homework to reinforce classroom instruction on quadratic applications, or as targeted practice for students preparing for standardized assessments. Teachers can use individual questions as warm-up problems to activate prior knowledge about parabolic relationships, or deploy the entire quiz as a comprehensive review before unit exams. The variety of contexts—from sports trajectories to population modeling—helps students recognize the versatility of quadratic functions across disciplines. This assessment aligns with standards A-CED.2 (creating equations to describe relationships), A-REI.4 (solving quadratic equations), and F-IF.4 (interpreting key features of functions in context).

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Find the quadratic equation for the relationship of the horizontal distance and the height of the ball.

-18x2 + 2.11x + 4.21
-.06x2 +1.06x + 7.9
-6x2 +1.06x + 79
-.12x2 + 2.11x + 4.22

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

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

12.8 ft
13.3 ft
11.1 ft
17 ft

Tags

CCSS.HSF.IF.A.2

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Find the best fitting quadratic model for the data given.

1.2x2 + 13x + 504.3
12x2 + 13x + 504.3
.12x2 + 1.3x + 504.3

Tags

CCSS.HSA.CED.A.1

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Find the population for 1975.

623 thousand people
650 thousand people
599 thousand people
513 thousand people

Tags

CCSS.8.F.B.4

CCSS.8.SP.A.3

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Find the best fitting Quadratic model for the data

-.26x2-17.3x+222.8
-.26x2+22.59x+23.02
2.6x2+22.9x+20.03
2.6x2+2.3x+23.02

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.BF.A.1

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

What is the distance if the angle is 45 degrees?

513 ft
507 ft
520 ft
505 ft

Tags

CCSS.HSF.IF.B.4

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSS.ID.B.6

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