Question

Show all work and graphs. Use Minitab software,

Analyze the correlation for the following data:

Circuit Type	Response
1	19	22	20	18	25
2	20	21	33	27	40
3	16	15	18	26	17

Answer 1

Result:

In MINITAB, arrage the the data in 3 coulumns.

Type1	Type2	Type3
19	20	16
22	21	15
20	33	18
18	27	26
25	40	17

In MINITAB, Graph, Matrix plot select the three variables and OK

In MINITAB select , stat, basic statistics, correlation, then select the three variables and OK

Correlation: Type1, Type2, Type3

Correlations

	Type1	Type2
Type2	0.591
	0.293
Type3	-0.546	0.112
	0.342	0.857

Cell Contents
      Pearson correlation
      P-Value

Correlation between Type 1 and Type2 is 0.591 which is positive but not significant, P=0.293.

Correlation between Type 1 and Type3 is -0.546 which is negative but not significant, P=0.342.

Correlation between Type 2 and Type3 is 0.112 which is positive but not significant, P=0.857.