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In: Math

An example of a correlation problem ( finding degrees of freedom) I need an example of...

An example of a correlation problem ( finding degrees of freedom)

I need an example of any correlation problem , including finding the degrees of freedom. Provide any exsmple of a correlation math problem

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Expert Solution

Let x =independent variable =Time spent studying before the exam.

Let y =dependent variable =Marks obtained in the exam.

Let us take a sample of 10 students.

So, the sample size, n =10

Finding correlation coefficient, r:

x: Time spent studying (in hours) y: Marks obtained (in %) x2    y2    xy   
2 30 4 900 60
4 29 16 841 116
5 32 25 1024 160
9 40 81 1600 360
14 50 196 2500 700
18 48 324 2304 864
22 56 484 3136 1232
25 63 625 3969 1575
30 70 900 4900 2100
34 75 1156 5625 2550
x =163 y =493 x2 =3811 y2 =26799 xy =9717

Thus, the correlation coefficient, r =0.991

Calculation of degrees of freedom, df:

Degrees of freedom, df =n - 2 =10 - 2 =8


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