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AP Stats 3.1-3.2 Regression & Correlation

Authored by Jessica Miller

Mathematics

11th - 12th Grade

CCSS covered

Used 109+ times

AP Stats 3.1-3.2 Regression & Correlation
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This quiz focuses on regression and correlation analysis, covering the fundamental statistical concepts that form the backbone of AP Statistics curriculum. The questions assess students' understanding of correlation coefficients, scatter plot interpretation, least squares regression lines, residual analysis, and the coefficient of determination (r²). Students need to demonstrate mastery of several interconnected skills: interpreting correlation strength and direction from both numerical values and visual representations, calculating and interpreting residuals, understanding the meaning of slope and y-intercept in regression contexts, and distinguishing between correlation and causation. The material requires students to work fluently between graphical, numerical, and contextual representations while applying proper statistical reasoning to real-world scenarios involving bivariate data relationships. Created by Jessica Miller, a Mathematics teacher in US who teaches grade 11-12. This comprehensive assessment serves multiple instructional purposes throughout the regression and correlation unit, functioning effectively as formative assessment to gauge student understanding before major evaluations, targeted practice for specific skill development, or review material before AP examinations. Teachers can deploy individual sections as warm-up activities to activate prior knowledge or assign the complete quiz as homework to reinforce classroom learning. The varied question formats support differentiated instruction while building the analytical thinking skills essential for success in advanced statistics coursework. This assessment aligns with Common Core Standards S-ID.6, S-ID.7, and S-ID.8, which require students to represent data on scatter plots, interpret linear models, and compute correlation coefficients while understanding their limitations in establishing causal relationships.

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30 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Describe the relationship between the variables.

no correlation
strong positive correlation
strong negative correlation
weak positive correlation

Tags

CCSS.5.G.A.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Describe the correlation in the graph shown.

Strong Negative
Strong Positive
Weak Negative
Weak Positive

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Describe the correlation in the graph shown.

Strong Negative
Strong Positive
Weak Negative
No Correlation

Tags

CCSS.HSF-LE.A.1B

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Describe the correlation in the graph shown.

Strong Negative
Strong Positive
Weak Negative
Weak Positive

Tags

CCSS.2.MD.D.9

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Estimate the correlation coefficient.

r=0
r=-1
r=1
r=2

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books.  Use the trend line to predict how many chapters would be in a book with 180 pages. 

12 chapters
15 chapters
18 chapters
21 chapters

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.7

CCSS.HSA.CED.A.2

CCSS.HSF.IF.B.4

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

If Joe worked 30 hours, how much is he expected to earn?

$600
$200
$1000
$800

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

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