Question

Design an experimental study to investigate the relationship between social media use and self-esteem?

What is your hypothesis?  

What is your independent variable? How will you manipulate the IV?

What is your dependent variable? How will you measure your DV?

What type of hypotheses does the experimental method allow you to test that the correlational method does not? (Note: You can disregard ethical limitations here! Just design an experimental study rather than a purely correlational study).

Use This Table to Calculate r_xy

Subject #	X	Y	X2	Y2	XY
1	0	9
2	0	7
3	1	6
4	1	7
5	1	8
6	2	5
7	2	6
8	2	7
9	3	3
10	3	4
11	3	5
12	4	3
13	4	4
14	5	3
15	5	4
16	5	5
17	6	5
18	7	4
19	8	4
20	9	3
Σ (Sum)

Answer 1

Subject #	X	Y	X2	Y2	XY
1	0	9	0	81	0
2	0	7	0	49	0
3	1	6	1	36	6
4	1	7	1	49	7
5	1	8	1	64	8
6	2	5	4	25	10
7	2	6	4	36	12
8	2	7	4	49	14
9	3	3	9	9	9
10	3	4	9	16	12
11	3	5	9	25	15
12	4	3	16	9	12
13	4	4	16	16	16
14	5	3	25	9	15
15	5	4	25	16	20
16	5	5	25	25	25
17	6	5	36	25	30
18	7	4	49	16	28
19	8	4	64	16	32
20	9	3	81	9	27
Σ (Sum)	71	102	379	580	298

This the table which we got

Now we need to find the relationship between variable X and Y

Since here we need to do correlation analysis so here we treat

variable X as independent variable and Y as depnedent variable

here we can do correlational analysis.

SO

our hypothesis will be:

where is the population correlation coefficent.

So our test statistic will be based on sample correlation

which is given by the formula