Must use R studio : need computation process for computation questions

1. You run a personality inventory on 15 people and assess each person's level of "open-mindedness". The ratings range from 1 (not at all open-minded) to 100 (completely open minded). You get the following data -

Participant	Rating
1	94
2	65
3	46
4	79
5	69
6	12
7	67
8	22
9	47
10	79

1. Compute the mean, median and mode for the data
2. Compute the standard deviation (population and sample)
3. Which standard deviation is the more appropriate one to use? Why?
4. What r command would you use to compute the variance of the data?
5. You are asked to analyze data from a study that looked at the association between an organizational self-rating ("how organized would you rate yourself?") and social network (how many "friends" would you say you currently have at this moment?") for 15 people. The data is -

Participant	Organizational Self Rating	Number of Friends
1	9	14
2	81	12
3	57	6
4	59	9
5	51	5
6	48	19
7	32	16
8	82	7
9	44	17
10	19	20
11	10	15
12	54	13
13	20	11
14	18	3
15	15	4

1. Run a correlation on the data. What's Pearson's r?
2. Interpret the data
3. Relist the correlation by rank order below

Participan t	Organizational Self Rating	Organizational Self Rating, Rank	Number of Friends	Number of Friends, Rank
1	9	1	14	10
2	81	14	12	8
3	57	12	6	4
4	59	13	9	6
5	51	10	5	3
6	48	9	19	14
7	32	7	16	12
8	82	15	7	5
9	44	8	17	13
10	19	5	20	15
11	10	2	15	11
12	54	11	13	9
13	20	6	11	7
14	18	4	3	1
15	15	3	4	2

1. Looking at the data, what do you anticipate about a Spearman's correlation analysis?
2. Run a Spearman's correlation. What is the output?
3. How does it compare to Pearson's r?
4. Create a scatter plot of the original data
5. Using lm, find the linear model for the best fit line. What is the value of the slope?

What is the value of the intercept?

1. Using ABline, place trendline on your scatterplot