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M1 M2 M3 M4 M5 M6 M7 M1 1.00 M2 – .758 1.00 M3 .683 – .536 1.00 M4 – .051 .182 .

ID: 3057469 • Letter: M

Question

M1

M2

M3

M4

M5

M6

M7

M1

1.00

M2

– .758

1.00

M3

.683

– .536

1.00

M4

– .051

.182

.356

1.00

M5

.372

– .561

.265

.071

1.00

M6

.055

.167

– .645

– .367

.461

1.00

M7

– .343

.610

– .489

– .252

– .184

– .259

1.00

3          a)

i) Which two variables in the above table have the STRONGEST correlation (This means only ONE coefficient)?

ii) Why did you select it?

iii) Identify whether it is a positive or negative relationship.

b)

i) Which two variables in the above table have the WEAKEST correlation (This means only ONE coefficient)?

ii) Why did you select it?

iii) Identify whether it is a positive or negative relationship.

M1

M2

M3

M4

M5

M6

M7

M1

1.00

M2

– .758

1.00

M3

.683

– .536

1.00

M4

– .051

.182

.356

1.00

M5

.372

– .561

.265

.071

1.00

M6

.055

.167

– .645

– .367

.461

1.00

M7

– .343

.610

– .489

– .252

– .184

– .259

1.00

Explanation / Answer

Note : r = correlation coefficient .

If r = +.70 or higher Very strong positive relationship
+.40 to +.69 Strong positive relationship
+.30 to +.39 Moderate positive relationship
+.20 to +.29 weak positive relationship
+.01 to +.19 No or negligible relationship
-.01 to -.19 No or negligible relationship
-.20 to -.29 weak negative relationship
-.30 to -.39 Moderate negative relationship
-.40 to -.69 Strong negative relationship
-.70 or higher Very strong negative relationship.

a)

two variables in the above table have the STRONGEST correlation =

1 ) M1 and M3 which have correlation 0.683 , M2 and M7 which correlation as 0.610 ,

M2 and M1 correlation coefficient = -0.758 , M3 and M2 ==>> -0.536 , M5 and M2 ==>> -0.561

M6 and M3 = -0.645 , M7 and M3 = -0.489

2)Correlation coefficient value is greater than 0.40 .

3) Correlation coefficient value is positive since this is positive relationship .

Negative correlation with negtive sign .

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b)  two variables in the above table have the WEAKEST correlation

+.20 to +.29 weak positive relationship and  -.20 to -.29 weak negative relationship

M5 and M3 = 0.265 , M7 and M4 = - 0.252 , M7 and M6 = -0.259

Correlation coefficient value is positive since this is positive relationship .

Negative correlation with negtive sign .