Create a scatterplot of the relationship

Reference no: EM131250682

Assignment 1

Question 1

Dr. Brown is trying to better understand depression in boys and girls. She measures depression in 15 boys and 15 girls in grade 4. The obtained scores were:

Boys	15	12	9	5	18	14	10	11	7	5	6	3	9	15	11
Girls	11	21	18	15	12	22	20	19	21	22	20	18	24	17	4

a) By hand, calculate the 20% trimmed mean, median absolute deviation, and variance of depression scores in boys. Show your work.

Ordered:

Boys: 3, 5, 6, 7, 9, 9, 10, 11, 11, 12, 14, 15, 15, 18

Girls: 4, 11, 12, 15, 17, 18, 18, 19, 20, 20, 21, 22, 22, 24

Means:
Boys: x^-= Σx/n = 150/15 = 10
Girls: x^- = Σx/n = 242/15 = 16.13

Medians:
Boys: 10
Girls: 19

Trimmed mean:
15(0.2) = 3 → Eliminate 3, 5, 5 and 15, 15, 18
89/9 = 9.89

Median Absolute Deviation
MAD = (|x - |)/n
=52/15
= 3.47

Standard Deviation
σ = √Σ(x - )2/(n - 1)
=√262/14 = √18.71 = 4.326

Variance
σ/ = 4.326/10 = 0.4326

d)
>pnorm(1.156, lower.tail = FALSE)
[1] 0.1238406
>pnorm(0.462, lower.tail = FALSE)
[1] 0.3220407
>pnorm(1.3870, lower.tail = FALSE)
[1] 0.08272088
> .32304-.0827
[1] 0.24034
> .32204-.0827
[1] 0.23934

Question 2

Dr. Black is investigating the relationship between the number of errors students make in solving math questions and perfectionism. The data is available on Moodle (2021_ass1_q2_data.csv).

a) Create a scatterplot of the relationship and describe the nature of the relationship.

b) Convert all scores to z-scores and compute the correlation using ??=Σzxzy/N-1_. Verify your computation using the cor() function.

Attachment:- data.csv

Reference no: EM131250682

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