6 | U n i t 3 10D Date:___________ Name: _______________________
DAY 3 – Non Linear Relationships
1. State whether each line of best fit is a good Radius(cm) πr (cm)
C=2π C = 21T r IT =3
model for the data. Justify your answer. 1 21321 ) = 6
a) Line of best fit
2 2137127=12
3 2 (3) (3) = 18
is a good model 4 2 (3) (4) =
24
Pts are close to the 5 2 (3) (5) =3 o
line drawn .
6 213) ( o ) = 36
b) Best fit
Curve of
[
would be better 48 - - -
- - -
- - - - -
.
.
to show the relationship 42 1
1
7
of ✗ to y -
volts . 36
-
•
30 - o l
l
I
24 •
18 -
•
' - - i -
f
2. a)Complete the table of values for the relations
'
12 •
1
between the area of a circle and its radius and i
6- •
:
between the circumference of a circle and its °
i
1 %
radius. Then, make two scatter plots of the data. I 2 3 4 g- f
7 8
IT =3
Radius(cm) A = πr2 (cm2) b) Describe the two relations.
1 3( 1) 2=3 Area the 8- values are
increasing faster
2 3( 2) 2=12 as ✗ -
increasing . Non - Linea .
3 3. (3) 2=27 it is constant rate
circumference
increasing at a .
'
4 3 (4) = 48 Linear -
5 31512=75 c) Draw lines or curves of best fit for the data.
6 316 )2= 108 d) Use your models to predict the area and
A ÷ circumference for a radius of 2.5 cm.
A of r 235cm is I 23 CMZ
your go
-
I
to -
•
C of r 2.5cm is 15cm
70 -
60
e) Use your models to predict the area and
-
50 -
•
circumference for a radius of 8 cm.
yo -
for a r 8cm the c = 48cm .
30 -
•
;
-
i - - - - -
20 ,
!
to find circle
•
Hard
10 -
Ii
•
area
of
3 6 7 8
4 5
/ I
with
orig graph
radius ⑥
r: an
6
DAY 3 – Non Linear Relationships
1. State whether each line of best fit is a good Radius(cm) πr (cm)
C=2π C = 21T r IT =3
model for the data. Justify your answer. 1 21321 ) = 6
a) Line of best fit
2 2137127=12
3 2 (3) (3) = 18
is a good model 4 2 (3) (4) =
24
Pts are close to the 5 2 (3) (5) =3 o
line drawn .
6 213) ( o ) = 36
b) Best fit
Curve of
[
would be better 48 - - -
- - -
- - - - -
.
.
to show the relationship 42 1
1
7
of ✗ to y -
volts . 36
-
•
30 - o l
l
I
24 •
18 -
•
' - - i -
f
2. a)Complete the table of values for the relations
'
12 •
1
between the area of a circle and its radius and i
6- •
:
between the circumference of a circle and its °
i
1 %
radius. Then, make two scatter plots of the data. I 2 3 4 g- f
7 8
IT =3
Radius(cm) A = πr2 (cm2) b) Describe the two relations.
1 3( 1) 2=3 Area the 8- values are
increasing faster
2 3( 2) 2=12 as ✗ -
increasing . Non - Linea .
3 3. (3) 2=27 it is constant rate
circumference
increasing at a .
'
4 3 (4) = 48 Linear -
5 31512=75 c) Draw lines or curves of best fit for the data.
6 316 )2= 108 d) Use your models to predict the area and
A ÷ circumference for a radius of 2.5 cm.
A of r 235cm is I 23 CMZ
your go
-
I
to -
•
C of r 2.5cm is 15cm
70 -
60
e) Use your models to predict the area and
-
50 -
•
circumference for a radius of 8 cm.
yo -
for a r 8cm the c = 48cm .
30 -
•
;
-
i - - - - -
20 ,
!
to find circle
•
Hard
10 -
Ii
•
area
of
3 6 7 8
4 5
/ I
with
orig graph
radius ⑥
r: an
6
