Scatter Diagrams And Correlation (4) Flashcards

1
Q

What is association

A

Two variables with a relationship between them

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2
Q

What data do scatter diagrams show

A

Bivariate data

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3
Q

Where do you plot the independent variable

A

On the horizontal x axis

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4
Q

What does the independent variable show

A

It shows the value you change

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5
Q

Where do you plot the dependent variable

A

On the y axis

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6
Q

What does the dependent variable show

A

The value you do not change

It depends on the explanatory variable

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7
Q

What is correlation

A

The link between two variables that shows a trend

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8
Q

What is positive correlation

A

When one variable increases another increases

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9
Q

What is negative correlation

A

When one increases the other decreases

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10
Q

What is linear correlation

A

When they lie on a straight line

(This can be positive or negative)

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11
Q

What is non linear correlation

A

Correlation that shows a curved line

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12
Q

What is a causal relationship

A

When a change in one variable directly causes a change in another variable.

E.g. The larger a fuel tank the more fuel a car uses

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13
Q

Does correlation directly imply causation

A

No
Correlation doesn’t always mean there is a causal relationship.

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14
Q

How many factors will cause a change in variables

A

Multiple.
Although a single scatter graph will show how one factor effects another there may be multiple

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15
Q

What is a line of best fit

A

A straight line drawn so the plotted points on a scatter diagram are evenly scattered either side of the line

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16
Q

What is a mean point used for

A

Drawing a more accurate line of best fit (than by eye)

17
Q

How do you calculate the mean point

A

The mean x value and mean y value

18
Q

What is interpolation

A

Using the line best fit within the given data values to estimate a value

19
Q

What is extrapolation

A

Extending the line of best fit further than the given values, to estimate a data value

20
Q

How reliable is interpolation or extrapolation

A

Interpolation - reliable as its within the known data values

Extrapolation - unreliable as it is past the known data values

21
Q

What is the equation for a line / line of best fit

A

Y = mx + c

In statistics you are likely to see

Y = ax + b

A = gradient
B = y intercept

22
Q

What is the line of best fit also called

A

The regression line

23
Q

What does the line of best fit of a gradient show

A

The rate of increase of the dependent variable (response variable) to the independent (explanatory) variable

24
Q

What does the y intercept show

A

The response variables value when the explanatory variable is 0

25
Q

What is Spearman’s rank coefficient

A

r↓s

Shows the strength of correlation

26
Q

On Spearman’s rank what does each significant value between 1 and 0 show

A

1 - Perfect positive
0.8 - strong positive
0.4 - weak positive
0 - no correlation

Negative is the opposite

27
Q

How do you calculate spearman’s rank coefficient

A

First rank your values using the same scale

Then subtract the two values for your d value
N is the number of groups

Next square this

r↓s = 1- (6× sum of d^2 /n(n^2-1)

28
Q

What does Pearsons product moment correlation coefficient show

A

It is similar to spearman’s rank correlation coefficient

It tests for linear correlation.

It tells us how far the data points are from the regression line

It is measured between 1 and -1