Question

x: 1 2 3 4 5 6 7 8 9 11
y: 2 4 5 8 9 12 13 14 15 16
This table shows 10 observations of a pair of variables (x,y). The variables x and y are positively correlated, with a correlation coefficient of 0.977. Find the slope (b) of the least squares regression line (y=a+bx) for these data.

Answer 1

There are exact methods of calculation of the regression line if the given data is the whole population, else the method will be just an estimation.

There are also approximations to the regression line, such as median-median method, Mayer line method, etc. Depending on what you have done in your course, you have to choose a method. The "exact" method can be found in:

http://www.stat.wmich.edu/s216/book/node126.html

or any other article if you google "least squares regression line".