In: Statistics and Probability
A chocolate bar manufacturer with stores in most country towns and cities is interested in trying to estimate how daily sales are influenced by the price of their product. To do this, the company randomly chooses 6 stores in country towns and cities and offers the chocolate bar at different prices.
Using chocolate bar sales as the dependent variable, the company will conduct a simple linear regression on the data below:
City |
Price ($) (X) |
Sales (Y) |
Toowoomba |
1.30 |
100 |
Broken Hill |
1.60 |
90 |
Bendigo |
1.80 |
90 |
Kalgoorlie |
2.00 |
40 |
Launceston |
2.40 |
38 |
Port Augusta |
2.90 |
32 |
The value, to three decimal places, of the test statistic to test the hypothesis
H0: β1 = 0
H1: β1 ≠ 0
is