Quadratic Regression
Mathematics
7th - 12th Grade
CCSS covered
Used 84+ times
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About
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
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1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Find the quadratic equation for the relationship of the horizontal distance and the height of the ball.
Tags
CCSS.HSA.CED.A.2
CCSS.HSA.CED.A.1
CCSS.HSA.APR.B.3
CCSS.HSA.REI.D.10
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Find the height of the ball when it traveled a distance of 10 feet.
Tags
CCSS.HSF.IF.A.2
3.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Find the best fitting quadratic model for the data given.
Tags
CCSS.HSA.CED.A.1
4.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Find the population for 1975.
Tags
CCSS.8.F.B.4
CCSS.8.SP.A.3
5.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Find the best fitting Quadratic model for the data
Tags
CCSS.HSA.CED.A.2
CCSS.HSF.BF.A.1
6.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
What is the distance if the angle is 45 degrees?
Tags
CCSS.HSF.IF.B.4
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Calculate the quadratic regression function for this table of values to the nearest tenth.
2x2 - 9x + 10
3x2 + 9x - 10
3.1x2 - 9.2x - 10.3
2.1x2 - 8.6x + 10.1
Tags
CCSS.HSA.CED.A.2
CCSS.HSS.ID.B.6
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