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To fit a trend to the given sales data, we will assume a quadratic trend because the sales increase, peak, and then decrease, which suggests a parabolic pattern. Let the months be numbered as $x = 1$ for March, $2$ for April, ..., $7$ for September. The sales $y$ are given. | Month | x | Sales y | | ----- | - | ------- | | Mar | 1 | 400 | | Apr | 2 | 700 | | May | 3 | 2000 | | June | 4 | 3000 | | Jul | 5 | 2000 | | Aug | 6 | 1000 | | Sept | 7 | 200 | Assume a quadratic trend: $y = a + bx + cx^2$. We need to solve for $a, b, c$ using the method of least squares. _________ ___ __________ _______ ________.
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