you are studying the relationship between the number of academic credit hours graduate students spent studying Multicultural Counseling Skills and their current clients' overall perception of their skills as multiculturally competent therapists, as measured by the Multicultural Counseling Skills Survey.
1. Please calculate the correlation coefficient for the relationship between these two variables.
(r=.90)
2. In order to conduct a proper and valid correlation analysis both the IV and DV need to be along what two scales of measurement?
3. Which variable is the IV, and which is the DV in this circumstance?
4. What would be the problem if I wanted to determine the relationship between the therapists' Multicultural Counseling Skills and their sexes?
5. Is this correlation weak, moderate, or strong?
6. For someone who studied 9 credit hours, what might be that therapist's rating be by her or his client on the Multicultural Counseling Skills Survey?
Sx= 4.86 Sy= 13.71 r= .90 b= 2.54 a= 49.88 Y'=72.74
7. What would be the range of possible scores for that person based upon the standard error of estimate?
Sy|x=
8. Explain why we use the standard error of estimate when predicting what someone's Multicultural Competence score might be based on the number of hours spent studying multicultural competence.
9. What is the z-score for the person who who's multicultural competence score was 80? (First, consider what other formulas you might need in order to calculate the z)
µ= σ= z=
10. Hypothetically, what percentage of the counselors surveyed rated higher than this person on the Multicultural Counseling Skills Survey?
11. What Multicultural Counseling Skills score marks the beginning of the upper 80% of therapists (you will need the mean and standard deviation here)?
|
Participant Number
|
Credit Hours Studied
|
Multicultural Counseling Skills Score
|
|
|
1
|
2
|
50 200
|
|
|
2
|
13
|
84 1092
|
|
|
3
|
17
|
99 1683
|
|
|
4
|
4
|
62 248
|
|
|
5
|
8
|
65 520
|
|
|
6
|
4
|
70 280
|
|
|
7
|
7
|
68 476
|
|
|
8
|
11
|
74 814
|
|
|
9
|
10
|
69 690
|
|
|
10
|
9
|
59
|
|
|
11
|
5
|
66
|
|
|
12
|
18
|
100
|
|
|
13
|
14
|
77
|
|
|
14
|
6
|
60
|
|
|
15
|
3
|
60
|
|
n=15 ∑X= 131 ∑Y= ∑XY= ∑X2= ∑Y2=
? Mean of Y=
X Mean of X=