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Finding Correlation Finding Correlation

Finding Correlation - PowerPoint Presentation

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Finding Correlation - PPT Presentation

Coefficient amp Line of Best Fit We want to M CLR the calculator to Clear its Memory Find the Correlation Coefficient for the following data Rainfall x cm 45 30 52 50 21 ID: 570469

coefficient correlation rainfall finding correlation coefficient finding rainfall 1000

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Slide1

Finding Correlation Coefficient& Line of Best FitSlide2

We want to

M CLR

the calculator to

Clear its Memory

Find the Correlation Coefficient for the following data

Rainfall (x cm)

4.5

3.0

5.25.02.1001.23.2No. of tourists (1000’s5.08.00.84.24.87.49.48.62.6

Finding Correlation Coefficient

Finding Correlation CoefficientSlide3

We w

ant to

M CLR

the calculator to

Clear its Memory

Rainfall (x cm)

4.5

3.05.25.02.1001.23.2No. of tourists (1000’s5.08.00.84.2

4.87.49.48.62.6

Finding Correlation CoefficientSlide4

We want the calculator in STATS mode

Rainfall (x cm)

4.5

3.0

5.2

5.0

2.1

0

0

1.2

3.2No. of tourists (1000’s5.08.00.84.24.87.49.48.62.6Finding Correlation CoefficientSlide5

Rainfall (x cm)

4.5

3.0

5.2

5.0

2.1

0

0

1.23.2No. of tourists (1000’s5.08.00.84.24.8

7.49.48.6

2.6Finding Correlation CoefficientWe want to find a LINE linking the pointsSlide6

Finding Correlation Coefficient

Enter each pair of points separated by a comma

Pressing

DATA

afterwards

Rainfall (x cm)

4.5

3.0

5.2

5.0

2.1

0

0

1.2

3.2

No. of tourists (1000’s

5.0

8.0

0.8

4.2

4.8

7.4

9.4

8.6

2.6

Repeat the process entering all the Data in the tableSlide7

Rainfall (x cm)4.53.05.25.02.100

1.2

3.2

No. of tourists (1000’s

5.0

8.0

0.84.24.8

7.49.48.62.6

Finding Correlation Coefficient

We want the

Correlation

Coefficient

r

Its in Green so press ALPHA first

The

Correlation

Coefficient

= -0.775947983Slide8

Rainfall (x cm)4.53.05.2

5.0

2.1

0

0

1.23.2

No. of tourists (1000’s5.0

8.00.84.24.87.4

9.48.62.6Finding Correlation Coefficient

a

= 8.66 bb = -1.12

Y = 8.66 – 1.12x

Line of Best Fit

Y = a +

bxSlide9

Questions1. The marks of 7 pupils in two Maths papers are as follows :

a) Plot the marks on a scatter graph.

(Paper 1 marks on the horizontal axis and

Paper 2 marks on the vertical axis)

b) Is there any correlation between the marks on Paper 1

and Paper 2

?

Use your calculator to find the Correlation coefficient

d) Find the equation of the Line of Best Fit for the dataObjective : To practise stating correlation.

Eve achieves a score of 6 on Test A.

Use the line of best fit to give an estimate of her score on Test B.Slide10

Answers1. Yes there is positive correlation between Paper1 and Paper 2.Slide11

Top Gear are doing a review of cars. The table below shows the engine size of a car in litres and the distance it travelled in

km

on one litre of petrol.

Top

Gear want to know if there is any correlation between

engine size and distance travelled.

a) Plot the marks on a scatter graph

.

b) Is there any correlation between the Engine Size and Distance Use your calculator to find the Correlation coefficient

d) Find the equation of the Line of Best Fit for the data

e) A car has a 2.3 litre engine. How far would you expect it to go on one litre of petrol ?Slide12

Answers

2. Yes there is negative correlation between engine size and the distance travelled on one litre of petrol.