Q1)

Table provides the measurements in a scientific exp

Sample number	Density (X)	Velocity (Y)
1	2.8	1.5
2	8.5	7.7
3	1	3.6
4	9.5	5.1
5	7.5	8.7

To measure the correlation between density and velocity, we should use:

1. Spearman correlation coefficient
2. Pearson Correlation coefficient

Why ? explain please?

Q2

Table provides the measurements in a scientific exp

Sample number	Age (X)	Weight (Y)
1	3	2
2	3	2
3	5	5
4	6	7
5	10	8
6	10	10

To determine the correlation between age and weight, we should use:

1. Spearman correlation coefficient
2. Pearson Correlation coefficient

Please explain!!!!!!!

And:

1. What is N =
2. Calculate X=
3. Calculate Y=
4. Calculate (X²)=
5. Calculate (Y²)=
6. Correlation Coefficient for the above data =

Q3)

Consider the data

Participant	Rankings of observer A (X)	Rankings of observer B (Y)
1	4	3
2	5	2
3	1	5
4	3	4
5	6	1
6	2	6

What correlation coefficient should we use?

1. Spearman correlation coefficient
2. Pearson Correlation coefficient

1. What is N=?
2. Calculate (D²) = ?
3. What is the correlation coefficient for the above data?

Q4)

Student wrote English and Math exams. For the eight students below, rank their scores, so that correlation coefficient could be calculated using your rankings. Assign the lowest score with a ranking of 1.

Student Id	Math test score	Math test ranking	English test score	English test ranking
1	78	?	97	6.5
2	70	?	73	3
3	70	?	92	5
4	94	?	97	6.5
5	96	?	87	4
6	100	?	28	1
7	53	?	65	2
8	90	?	100	8

Please explain how you got it cause i have to learn for my exam!!!!!

Q5)

Student wrote English and Math exams. For the four students below, rank their scores, so that correlation coefficient could be calculated using your rankings. Assign the highest score with a ranking of 1.

Student Id	Math test score	Math test ranking	English test score	English test ranking
1	22	?	92	?
2	21	?	31	?
3	21	?	45	?
4	45	?	45	?