Answer:
The data set <em>N</em> has a better linear model.
Step-by-step explanation:
The data for the two data sets is:
Data Set M: {(14,95), (9,85), (4,65), (6,80), (3,73), (12,107), (7,64), (12,86), (10,96), (9,64), (1,44)}
Data Set N: {(13,109), (9,85), (4,65), (6,80), (3,63), (12,107), (7,76), (11,100), (10,96), (8,85), (1,44)}
The Correlation coefficient can be computed in Excel using the function:
CORREL(array1, array2)
Consider the table attached below for the correlation for data M and N.
Correlation coefficient for data M = 0.81
Correlation coefficient for data N = 0.99
Closer the correlation value is to 1 or -1, the better is the linear model.
This is because the correlation value of 1 or -1 are considered as perfect correlation.
The correlation coefficient for data N is 0.99 which is approximately equal to 1.
Thus, the data set <em>N</em> has a better linear model.
