Reference no: EM13584904

The marketing manager of a large supermarket chain would like to determine the effect of shelf space on the sales of pet food.  A random sample of 5 equal-sized stores was selected and the results are presented below: (α=.05)

Store       Shelf  Space  (feet)       Weekly Sales ($100)

_____________  X_______________          Y_________

1                      8                                16                             ∑x = 36,    ∑x2 = 274,      n = 5

2                      9                                22

3                     7                                 14                           ∑y = 95   ∑y2 = 1495       ∑xy = 708

4                     4                                 15

5                    8                                 28          

a) Predict the average weekly sales of pet food for stores with 20 feet of shelf space for pet food.

b) Compute coefficient of correlation.                                                                                                            

c) Compute standard error of estimate.                                                                                                           

d) Setup 95% confidence interval for population mean (assuming X=20).                                            

e) Is there any correlation between X & Y