5 The table shows the number of customers, \(x\), and the takings, \(\pounds y\), recorded to the nearest \(\pounds 10\), at a local butcher's shop on each of 10 randomly selected weekdays.
| \(\boldsymbol { x }\) | 86 | 60 | 65 | 46 | 71 | 93 | 56 | 81 | 75 | 57 |
| \(\boldsymbol { y }\) | 940 | 790 | 620 | 530 | 770 | 1050 | 690 | 780 | 860 | 550 |
- The first 6 pairs of data values in this table are plotted on the scatter diagram shown on the opposite page.
Plot the final 4 pairs of data values on the scatter diagram.
- Calculate the equation of the least squares regression line in the form \(y = a + b x\) and draw your line on the scatter diagram.
- Interpret your value for \(b\) in the context of the question.
- State why your value for \(a\) has no practical interpretation.
- Estimate, to the nearest \(\pounds 10\), the shop's takings when the number of customers is 50 .
[0pt]
[1 mark]
\includegraphics[max width=\textwidth, alt={}]{4c679380-894f-4d36-aec8-296b662058e2-14_1255_1705_1448_155}
Butcher's shop
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\caption{Answer space for question 5}
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