Finding Correlation Coefficient & Line of Best Fit.

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Presentation transcript:

Finding Correlation Coefficient & 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) No. of tourists (1000’s Finding Correlation Coefficient

We want to M CLR the calculator to Clear its Memory Rainfall (x cm) No. of tourists (1000’s Finding Correlation Coefficient

We want the calculator in STATS mode Rainfall (x cm) No. of tourists (1000’s Finding Correlation Coefficient

Rainfall (x cm) No. of tourists (1000’s Finding Correlation Coefficient We want to find a LINE linking the points

Finding Correlation Coefficient Enter each pair of points separated by a comma Pressing DATA afterwards Rainfall (x cm) No. of tourists (1000’s Repeat the process entering all the Data in the table

Rainfall (x cm) No. of tourists (1000’s Finding Correlation Coefficient We want the Correlation Coefficient r Its in Green so press ALPHA first The Correlation Coefficient =

Rainfall (x cm) No. of tourists (1000’s Finding Correlation Coefficient a = 8.66 b b = Y = 8.66 – 1.12x Line of Best Fit Y = a + bx

Questions 1.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 ? c) Use your calculator to find the Correlation coefficient d) Find the equation of the Line of Best Fit for the data Objective : To practise stating correlation. e) 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.

Answers 1.Yes there is positive correlation between Paper1 and Paper 2.

2.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 c) 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 ?

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