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A movie cinema is considering significantly reducing the price of their popcorn as they believe…
A movie cinema is considering significantly reducing the price of their popcorn as they believe their customers spend more on drinks when they buy popcorn. They recorded the following data of the daily revenue from popcorn, ‘x’, and the daily revenue from drinks, ‘y’ over 8 randomly selected days:
| Popcorn revenue (‘x’) | Drinks revenue (‘y’) |
|---|---|
| 14 | 22 |
| 12 | 23 |
| 12 | 17 |
| 14 | 24 |
| 16 | 18 |
| 10 | 25 |
| 13 | 23 |
| 12 | 24 |
(a)
Find $\bar{x}, \bar{y}$.
(b)
Using $\bar{x}, \bar{y}$, find regression coefficient of y on x.
(c)
The equation of the regression line y on x is in the form $y = a + bx$. Calculate the values of $a$ and $b$.
Answer
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From ISC 2025 Practice Mathematics, question 120.