Ticker-Tape TillyData & Chance · statistics and probability

Reads a long ticker tape: regression output.

Regression Output

Regression output. In MathBound, the free Algebra I adventure game, Ticker-Tape Tilly asks these problems, and the only way past is to solve them.

Part of Data Analysis: chapter 12 of the standard course.

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

What you will practice

Reading Regression Output. Predict with a linear, quadratic or exponential regression given as calculator output.

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

A

calculator

fit

an

exponential

model

to

milligrams

of

medicine

in

the

blood

(y)

against

hours

since

a

dose

was

taken

(x) . ExpReg y = a \cdot b^{x} a = 145 b = 0.9 r^{2} = 0.93

What

does

the

model

predict

for

y

when

x = 2 ?

Show the worked steps

Answer: $117.45$

A

calculator

fit

an

exponential

model

to

milligrams

of

medicine

in

the

blood

(y)

against

hours

since

a

dose

was

taken

(x) . ExpReg y = a \cdot b^{x} a = 361 b = 0.9 r^{2} = 0.92

Which

equation

is

the

model?

Show the worked steps

Answer: $y = 361 (0.9)^{x}$

A

data

set

was

fit

with

three

regressions.

The

linear

model

has

r^{2} = 0.65,

the

quadratic

model

has

r^{2} = 0.98,

and

the

exponential

model

has

r^{2} = 0.81 .

Which

model

fits

the

data

best?

Show the worked steps

$The$ $closer$ $r^{2}$ $is$ $to$ $1,$ $the$ $more$ $of$ $the$ $pattern$ $the$ $model$ $explains.$
$The$ $largest$ $r^{2}$ $is$ $0.98 :$ $the$ $quadratic$ $model.$

Answer: $the$ $quadratic$ $model$

Textbook	Lessons
Standard course	12.6
Carnegie Learning Algebra I	M3 2.3, M3 2.4, M5 3.3
CPM Core Connections Algebra	6.2.5
CPS Skyline Algebra	9.9
enVision Algebra 1	8-4
enVision Algebra 1 (2024)	8-4
Glencoe Algebra 1	4-6
HMH Into Algebra 1	13.1, 19.5
Math Nation Algebra 1 (Florida B.E.S.T.)	3.6, 3.7, 3.8
MVP Mathematics I (Integrated Math 1)	9.2, 9.3, 9.4, 9.5
Open Up NC Math 1 (MVP)	9.2, 9.3, 9.4, 9.5
Reveal Algebra 1	5-5, 11-8
SpringBoard Algebra 1	13, 33