2.2.2 Scatter diagrams and correlation

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Question 23

In an aerospace engineering trial, 7 experimental prototype wings were tested in a wind tunnel to determine the relationship between atmospheric pressure, $p$ (kPa), and the resulting lift coefficient, $L$ . The data collected is presented in the table below:

Prototype Unit	A	B	C	D	E	F	G
Pressure, $p$	45	52	60	68	75	83	91
Lift, $L$	0.42	0.48	0.46	0.55	0.51	0.62	0.58

Calculate the value of Spearman's rank correlation coefficient between $p$ and $L$ .

[3]

Stating your hypotheses clearly, test at the 5% level of significance whether there is evidence of a positive correlation between atmospheric pressure and lift coefficient.

[3]

The product moment correlation coefficient (PMCC) for these data is calculated as $r = 0.8881$ .

Use the given PMCC value to test, at the 5% level of significance, whether there is evidence of a positive correlation between pressure and lift.

[3]

Based on your conclusions from parts (b) and (c), describe the nature of the relationship between atmospheric pressure and lift coefficient.

[2]

2.2.2 Scatter diagrams and correlation

Question 23

Prototype Unit	A	B	C	D	E	F	G
Pressure, $p$	45	52	60	68	75	83	91
Lift, $L$	0.42	0.48	0.46	0.55	0.51	0.62	0.58

Calculate the value of Spearman's rank correlation coefficient between $p$ and $L$ .

[3]

Stating your hypotheses clearly, test at the 5% level of significance whether there is evidence of a positive correlation between atmospheric pressure and lift coefficient.

[3]

The product moment correlation coefficient (PMCC) for these data is calculated as $r = 0.8881$ .

Use the given PMCC value to test, at the 5% level of significance, whether there is evidence of a positive correlation between pressure and lift.

[3]

Based on your conclusions from parts (b) and (c), describe the nature of the relationship between atmospheric pressure and lift coefficient.

[2]

2.2.2 Scatter diagrams and correlation

Question 23

Markscheme

2.2.2 Scatter diagrams and correlation

Question 23

Markscheme

2.2.2 Scatter diagrams and correlation

Question 23

2.2.2 Scatter diagrams and correlation Questions

2.2.2 Scatter diagrams and correlation

Question 23

2.2.2 Scatter diagrams and correlation Questions