The grades of a class of 17 randomly selected students taking a course in Statistics and a course in English are given in the following table. Assume that the grades are jointly normally distributed. Statistics, y 80 81 75 81 92 95 80 81 85 72 65 93 81 70 73 72 80 English, x 86 75 69 75 90 94 83 86 84 71 62 90 83 75 71 76 84 (a) Compute and interpret; (i) the Pearson correlation coefficient (ii) the Spearman Rank Correlation coefficient (iii) What can you say about your results in (i) and (ii) above
. The grades of a class of 17 randomly selected students taking a course in Statistics and a
course in English are given in the following table. Assume that the grades are jointly
Statistics, y 80 81 75 81 92 95 80 81 85 72 65 93 81 70 73 72 80
English, x 86 75 69 75 90 94 83 86 84 71 62 90 83 75 71 76 84
(a) Compute and interpret;
(i) the Pearson
(ii) the
(iii) What can you say about your results in (i) and (ii) above
(b) Using a graph sheet with the appropriate scale, construct a
(c) Find the least-squares regression line relating Statistics final grades to English final grades
(d) Construct the analysis of variance (ANOVA) table for testing the significance of the fitted
line in (c) above
(e) Determine and interpret the coefficient of determination of the model
Step by step
Solved in 2 steps with 2 images
