1. Consider the following data set relating the amount of time a students spends studying to the mark
obtained on an exam
time(x) 40 42 37 47 25 44 41 48 35 28
mark(y) 77 63 79 86 51 78 83 90 65 47
For this data set determine by hand (showing all formulas and tables for calculations) and interpret
(if possible)
(a) The covariance
(b) The coecient of correlation
(c) The coecient of determination
(d) The least squares line (line of best t)
(e) Clearly state the slope of the above line and interpret it for this problem context.
(f) Clearly state the intercept of the above line and interpret it for this problem context.
(g) Create a table showing the original data (y) and the value predicted by the line of best t (^y).
Create a column of the di erence and sum it. Create a new data of these di erences squared and
sum them. What is this nal value and what can you say about it?