The marketing manager of a large supermarket chain would like to determine the effect of shelf space ...

The marketing manager of a large supermarket chain would like to determine the effect of shelf space (in feet) on the weekly sales of international food (in hundreds of dollars). A random sample of 12 equal –sized stores is selected, with the following results:

Store   Shelf Space(X)   Weekly Sales(Y)
1   10   2.0
2   10   2.6
3   10   1.8
4   15   2.3
5   15   2.8
6   15   3.0
7   20   2.7
8   20   3.1
9   20   3.2
10   25   3.0
11   25   3.3
12   25   3.5

Based on these data, what are the least squares regression coefficients of the Y-intercept (a) and slope (b)?

Place your answers, rounded to 3 decimal places , in the blanks provided.

a =            b =