1. The correlation coefficient ranges between ___ and ___ Select one: a. 0; +1 b
ID: 3292727 • Letter: 1
Question
1. The correlation coefficient ranges between ___ and ___
Select one:
a. 0; +1
b. -1; 0
c. -1; +1
d. -infinity; +infinity
2. The smaller the class size, the more students believe they are receiving a quality education. Is this an example of a positive or negative correlation?
Select one:
a. positive
b. negative
3. Higher education level is associated with larger annual income. Is this an example of a positive or negative correlation?
Select one:
a. positive
b. negative
4. Which of thhe following indicates the strongest correlation?
a. r= -0.57
b. r= +0.78
c. r= -0.90
d. r= +0.88
Please explain reasoning behind every answer.
Explanation / Answer
1. From the definition of correlation co-efficient, the correlation co-efficient ranges between -1 and +1. Hence, Option(c) is the correct choice. (Ans).
2. The smaller the class size, the more students believe they are receiving a quality education. Thus, here increase in class size decreases the believe of the number of students or vice-versa. So the relationship i.e.correlation is negative. Hence, Option (b) is the correct choice. (Ans).
3. Higher education level is associated with larger annual income. Thus increase / decrease of one variable will result in increase / decrease of another variable. Thus the correlation is postive. Hence, Option (a) is the correct choice.
4. Closer to the absolute value of r to 1, stronger the relationship between the variables is. Here the maximum absolute value of r is 0.90, as |-0.90| = 0.90. Hence, Option(c) is the correct choice. (Ans).
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.