Question

9. Dr. I. Feilgute is a psychologist interested in studying the relationship between self-esteem and grades. Below are data indicating students’ self-esteem scores and their average grades.

A. Graph these data.

B. From the results shown below, use Pearson’s “r” test to determine whether there is a significant relationship between these two variables.

C. How much variability is explained by the correlation?

D. How would you explain the possible causal relationships between these two variables?

            self-esteem scores            average grade

                42                    63

                101                    94

                56                    90

                31                    53

                24                    68

                79                    92

            SS= 4397.50            SS= 1535.33

Answer 1

At 5% significance, critical value =0.757

As correl>0.757, we say the correlation is significant.

c)Variability=correlation^2=0.844*0.844=0.7123

Hence 71.23% variability is explained.

d)The relationship appears to be strong and positively directioned. In general, one can say that if one is prepared for an exam, the person would have a good self esteem and would also get good grades.