Scattershot SueData & Chance · statistics and probability

Sprays confetti dots and draws a line through them: scatter plots and lines of fit.

Scatter Plots and Lines of Fit

Scatter plots and lines of fit. In MathBound, the free Algebra I adventure game, Scattershot Sue asks these problems, and the only way past is to solve them.

Part of Linear Functions: chapter 5 of the standard course.

Play this battle free

10 questions, no sign-up, nothing saved. Climbs from the basics to harder questions.

What you will practice

Correlation. Name the correlation a situation or plot shows, and tell correlation from causation.
Lines of Fit and Residuals. Predict with a line of fit, write it, or say what its slope and intercept mean.

Worked examples

Made by the game’s own question engine. Try each one, then open its steps.

Example 1 · Correlation

Which

pair

of

quantities

most

likely

shows

no

correlation?

$shoe$ $size$ $and$ $test$ $score$
$outside$ $temperature$ $and$ $heating$ $bills$
$altitude$ $climbed$ $and$ $air$ $temperature$
$the$ $age$ $of$ $a$ $car$ $and$ $its$ $resale$ $value$

Show the worked steps

$No$ $correlation$ $means$ $knowing$ $one$ $quantity$ $tells$ $you$ $nothing$ $about$ $the$ $other.$
$That$ $fits$ $shoe$ $size$ $and$ $test$ $score .$

Answer: $shoe$ $size$ $and$ $test$ $score$

Example 2 · Lines of Fit and Residuals

A

line

of

fit

models

y,

the

value

of

a

bike,

against

x,

the

age

of

the

bike.

What

sign

would

its

slope

most

likely

have?

$Positive:$ $the$ $value$ $of$ $a$ $bike$ $tends$ $to$ $fall$ $as$ $the$ $age$ $of$ $the$ $bike$ $goes$ $up$
$Positive:$ $the$ $value$ $of$ $a$ $bike$ $tends$ $to$ $rise$ $as$ $the$ $age$ $of$ $the$ $bike$ $goes$ $up$
$Negative:$ $the$ $value$ $of$ $a$ $bike$ $tends$ $to$ $rise$ $as$ $the$ $age$ $of$ $the$ $bike$ $goes$ $up$
$Negative:$ $the$ $value$ $of$ $a$ $bike$ $tends$ $to$ $fall$ $as$ $the$ $age$ $of$ $the$ $bike$ $goes$ $up$

Show the worked steps

$As$ $the$ $age$ $of$ $the$ $bike$ $goes$ $up,$ $the$ $value$ $of$ $a$ $bike$ $tends$ $to$ $fall.$
$A$ $line$ $that$ $falls$ $has$ $a$ $negative$ $slope.$

Answer: $Negative:$ $the$ $value$ $of$ $a$ $bike$ $tends$ $to$ $fall$ $as$ $the$ $age$ $of$ $the$ $bike$ $goes$ $up$

Example 3 · Correlation

The

table

lists

data

in

order

of

x .

What

kind

of

correlation

does

it

show?

x y 18314778109114

$no$ $correlation$
$a$ $perfect$ $correlation$
$a$ $negative$ $correlation$
$a$ $positive$ $correlation$

Show the worked steps

$Read$ $along$ $the$ $table:$ $as$ $x$ $grows,$ $watch$ $y .$
$y$ $does$ $not$ $tend$ $to$ $rise$ $or$ $fall:$ $no$ $correlation.$

Answer: $no$ $correlation$

Where it is in your textbook

Textbook	Lessons
Standard course	5.8, 12.6
Big Ideas Math Algebra 1	4.4, 4.5
Big Ideas Math Algebra 1 (2022)	4.4, 4.5
Carnegie Learning Algebra I	M1 3.1, M1 3.2, M1 3.3, M1 3.4
CPM Core Connections Algebra	6.1.1, 6.1.2, 6.1.3, 6.1.4, 6.2.1, 6.2.2, 6.2.3, 6.2.4, 11.3.1
CPS Skyline Algebra	9.5, 9.6-9.7, 9.8, 9.9
enVision Algebra 1	3-5, 3-6
enVision Algebra 1 (2024)	3-5, 3-6
Eureka Math Algebra I (EngageNY)	2.12-2.13, 2.14, 2.15-2.18, 2.19, 2.20, 5.6-5.7
Glencoe Algebra 1	4-5, 4-6
HMH Into Algebra 1	6.1, 6.2
Holt McDougal Larson Algebra 1	4.6, 4.6 Ext, 4.7
Illustrative Mathematics Algebra 1	3.4-3.5, 3.6, 3.7-3.8, 3.9, 3.10, 4.18
Illustrative Mathematics Algebra 1 (v.360)	3.4-3.5, 3.6, 3.7-3.8, 3.9, 3.10, 5.18
Math Nation Algebra 1 (Florida B.E.S.T.)	3.5, 3.6, 3.7, 3.8, 3.H1, 12.5, 14.4
MVP Mathematics I (Integrated Math 1)	9.1, 9.2, 9.3, 9.4, 9.5
Open Up NC Math 1 (MVP)	9.1, 9.2, 9.3, 9.4, 9.5
Pearson Algebra 1 Common Core	5-7
Reveal Algebra 1	5-3, 5-4, 5-5
SpringBoard Algebra 1	13, 38, 39

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