[Steps Shown] The average daily temperature affects coffee sales at Ben’s Coffee Bean Café. The following data in the table show average temperature and
Question: The average daily temperature affects coffee sales at Ben’s Coffee Bean Café. The following data in the table show average temperature and coffee sales for various sample days during 2007. Use your calculator to compute the regression equation and the correlation calculations.
| Day | Temperature | Coffee Sales | ||
| degrees | dollars | |||
| 29-Jan | 22 | $5536 | ||
| 26-Feb | 15 | $6402 | ||
| 25-Mar | 34 | $5410 | ||
| 22-Apr | 56 | $4613 | ||
| 20-May | 63 | $3902 | ||
| 17-Jun | 77 | $3462 | ||
| 15-Jul | 96 | $1800 | ||
| 12-Aug | 85 | $2579 | ||
| 9-Sep | 83 | $2489 | ||
| 7-Oct | 69 | $3855 | ||
| 4-Nov | 53 | $4734 | ||
| 2-Dec | 37 | $5617 |
A
In the grid above plot the scatter for this problem.
B Determine the regression equation: y=
C Determine the correlation coefficient and the coefficient of determination. How would you describe the correlation between the temperature and coffee sales? (e.g. weak—moderate—strong; positive—negative) Explain your answer.
Coefficient of Determination =
Correlation Coefficient = _________
Describe the correlation _________________________________________________________________
_________________________________________________________________
Interpret the coefficient of determination: _________________________________________________________________
__________________________________________________________________
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| 7000 | ||||||||||
| 6000 | ||||||||||
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| 0 | 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 | 90 | F |
D Use the regression equation to predict the coffee sales on a day with an average daily temperature of 50? (Show your work.)
E Draw the regression line on the graph.
F Why can't you predict coffee sales for the coldest days, which usually drop to temperatures of 5 below zero ?
G Were the coffee sales on June 13 th more or less than expected? Explain.
Deliverable: Word Document 
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