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Question 19 (2 + 2 = 4 marks) The owner of a local grocery store varied the price of a half-kilo loaf of bread for
Question 19 (2 + 2 = 4 marks)
The owner of a local grocery store varied the price of a half-kilo loaf of bread for six consecutive weeks. The data below shows the price per loaf for each of these weeks, and the number of loaves sold that week.
Price (x) | $0.60 | $0.62 | $0.58 | $0.60 | $0.64 | $0.62 |
Loaves sold (y) | 220 | 200 | 280 | 250 | 190 | 240 |
You may use the following Excel print-outs or summary statistics provided to answer the questions.
SUMMARY OUTPUT | SUMMARY STATISTICS | |||
Regression Statistics | n = | 6 | ||
Multiple R | 0.855 | = | 0.61 | |
R Square | 0.731 | y = | 230 | |
Adjusted R Square | 0.663 | sx = | 0.00044 | |
Standard Error | 19.424 | sy = | 1120 | |
Observations | 6 | sxy = | -0.6 | |
Coefficients | Standard Error | t Stat | P-value | |
Intercept | 1061.818 | 252.732 | 4.201 | 0.014 |
Price | -1363.636 | 414.111 | -3.293 | 0.030 |
(a) Determine theestimated regression equation that can be used to predict the number of loaves sold given the price.
(b) Predict the number of loaves sold at a price of $0.65.
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