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Part $1$

$$Caf$$ Michigan's$$ manager, Gary$$ Stark, suspects that demand for mocha latte coffees depends on the price being charged. Based on historical$$ observations, Gary has gathered the following$$ data, which show the numbers of these coffees sold over six different price$$ values:

$$

Price

Number Sold

$$$$2\mathrm{.}50$

$765$

$$$$3\mathrm{.}50$

$510$

$$$$1\mathrm{.}90$

$975$

$$$$4\mathrm{.}10$

$250$

$$$$3\mathrm{.}20$

$320$

$$$$4\mathrm{.}00$

$480$

Part $2$

Using simple linear regressionLOADING... and given that the price per cup is $$$$1\mathrm{.}80,$ the forecasted demand for mocha latte coffees will be