Question: The statistics marks (out of 10) and Psychology grades (out of 5) of eight students are given in Table 1 below.

Table 1 : Statistics and psychology scores for eight students

(a) Construct a scatterplot using the data in table 1. Include appropriate labels on both axes.

b) Is there a linear relationship between the two sets of scores?

c) Calculate Pearson’s Correlation Coefficient using the space below.

d) What is the critical level of Pearson’s r for this data. Use .05 probability level.

e) Is the result you calculated significant at the 5% level?

f) What percentage of variation in the Psychology grades can be explained in Statistics scores?