1. The correlation coefficient ranges between ___ and ___ Select one: a. 0; +1 b

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).

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