Chapter A, Problem 10TY

Summary Introduction

Introduction:

Correlational statistics uses a correlational coefficient which is a measure for determination of relation between two variables. The strength and direction of relation between variables is represented by correlational coefficient.

Answer to Problem 10TY

Correct answer:

A friend telling that he scored correlational score of 14.6 from the research he concluded, suggest that his analysis is flawed as correlational scores range from -1.00 to +1.00 only. This information is reflected in the option “d”. Therefore, option d. is correct.

Option d. is given as “your friend’s analysis is flawed. Correlational scores only range from -1.00 to +1.00 only”.

Explanation of Solution

Reason for the correct statement:

The relationship between two variables or a group of variables can be predicted through correlational statistics. It helps in determining whether two scores are related. Correlation coefficient (r) represents the number which is the measure of direction and strength of relationship occurring between variables. The value of correlation coefficient ranges only between -1 to +1. Thus, a person’s claim of scoring correlational score of 14.6 indicates that his analysis is flawed.

Hence, option d. is correct.

Reasons for the incorrect statements:

Option a. is given as “your friend’s research shows only a small correlation since 14.6 is close to zero”.

Correlational score could range only between -1 to +1 and the closer the value of r to these values, it indicates a strong relation. Hence, it is a wrong answer.

Option b. is given as “your friend’s research shows a positive score in 14.6, and therefore a positive relationship exists”.

A positive value of r indicates positive relation between variables. A person’s research with correlational score of 14.6 is flawed as r could range only between -1 and +1. Hence, it is a wrong answer.

Option c. is given as “your friend’s research is inconclusive. You need more than a correlational score of 14.6 to know if there is any statistical significance”.

Correlational score could range only between -1 and +1. If a person’s correlational score is 14.6, it means that his analysis is flawed. Hence, it is a wrong answer.

Hence, options a., b., and c. are incorrect.

Conclusion

Correlational coefficient that is used to determine the relationship between variables is indicated as r. the value of r ranges between -1 to +1 only that measures the strength of relationship between variables.