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
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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.