1.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
Find the equation of the regression line for these data. What is the value of the standard error of the estimate? Place your answer, rounded to 3 decimal places, in the blank. Do not use a dollar sign. For example, 0.345 would be a legitimate entry.
2. In a simple linear regression analysis, the following sum of squares are produced:
f$sum{(y-ar{y})^{2}}f$ = 400
f$sum{(y-y')^{2}}f$ = 80
f$sum{(y'-ar{y})^{2}}f$ = 320
The proportion of the variation in Y that is explained by the variation in X is:
A.80%
B.20%
C.25%
D.50%
3. The correlation value ranges from
A.-2 to +2
B.0 to +1
C.-1 to +1
D.-3 to +3