Porisma

A hint to get started

Calculate correlation and investigate a radiation outlier

The data show the intensity II of radiation from a substance after time tt.

ttII
0.23
0.43.5
0.61.3
0.80.6
1.00.4
1.20.2

(i) Use a suitable diagram to explain why the product moment correlation coefficient between II and tt is negative and not very close to −1-1.

(ii) By using the formula for rr, calculate the product moment correlation coefficient between tt and II.

(iii) State the coordinates of a point in the diagram in (i) which does not seem to follow the linear trend. If it is removed, without any calculations, explain why rr is closer to −1-1.

CJC · Lecture · Example 2

For the formula, obtain all five sums from the same paired lists and use n=6.

Read the worked solution