1. A positive correlation. As one quantity increases so does the other. 2. A negative correlation....

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1. A positive correlation. As one quantity increases so does the other. 2. A negative correlation. As one quantity increases the other decreases. 3. No correlation. Both quantities vary with no clear relationship. Scatter Plots Scatter plots are used to show whether there is a relationship between two sets of data. The relationship between the data can be described as either: Shoe Size Annual Income Height Shoe Size Soup Sales Temperatur e Positive Correlation Negative Correlation No Correlation

Transcript of 1. A positive correlation. As one quantity increases so does the other. 2. A negative correlation....

Page 1: 1. A positive correlation. As one quantity increases so does the other. 2. A negative correlation. As one quantity increases the other decreases. 3. No.

1. A positive correlation. As one quantity increases so does the other.2. A negative correlation. As one quantity increases the other decreases.3. No correlation. Both quantities vary with no clear relationship.

Scatter Plots

Scatter plots are used to show whether there is a relationship between two sets of data. The relationship between the data can be described as either:

Sh

oe S

ize

Annual Income

Heig

ht

Shoe Size

Sou

p S

ale

s

Temperature

Positive Correlation Negative Correlation

No Correlation

Page 2: 1. A positive correlation. As one quantity increases so does the other. 2. A negative correlation. As one quantity increases the other decreases. 3. No.

Scatter Plots

1. A positive correlation. As one quantity increases so does the other.2. A negative correlation. As one quantity increases the other decreases.3. No correlation. Both quantities vary with no clear relationship.

Scatter plots are used to show whether there is a relationship between two sets of data. The relationship between the data can be described as either:

Sh

oe S

ize

Annual Income

Heig

ht

Shoe Size

Sou

p S

ale

s

Temperature

A positive correlation is characterised by a straight line with a positive slope.A negative correlation is characterised by a straight line with a negative slope.

Page 3: 1. A positive correlation. As one quantity increases so does the other. 2. A negative correlation. As one quantity increases the other decreases. 3. No.

Positive Negative None

Negative Positive Negative

State the type of correlation for the scatterplots below and write a sentence describing the relationship in each case.

Heig

ht

Grade 3 ResultsSale

s of

Sun s

creen

Maths test scores

Heati

ng b

ill (

$)

Car engine size (cc)

Outside air temperature

Daily hours of sunshine

Physi

cs t

est

sco

res

Age of car (years) V

alu

e o

f ca

r ($

)

Gas

consu

mpti

on

(mp

g)

1 2 3

4 5 6

People with higher maths scores tend to get higher physics scores.As the engine size of cars increase, they use more petrol. (Less mpg)There is no relationship between KS 3 results and the height of students.As the outside air temperature increases, heating bills will be lower.People tend to buy more sun cream when the weather is sunnier.The older the car the less its value.

Page 4: 1. A positive correlation. As one quantity increases so does the other. 2. A negative correlation. As one quantity increases the other decreases. 3. No.

Weak Positive

A positive or negative correlation is characterised by a straight line with a positive /negative slope. The strength of the correlation depends on the spread of points around the imagined line.

Strong Positive

Weak NegativeStrong Negative