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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{.}502\mathrm{.}50$

$760760$

$$$$3\mathrm{.}603\mathrm{.}60$

$515515$

$$$$2\mathrm{.}102\mathrm{.}10$

$990990$

$$$$4\mathrm{.}204\mathrm{.}20$

$240240$

$$$$3\mathrm{.}103\mathrm{.}10$

$320320$

$$$$4\mathrm{.}054\mathrm{.}05$

$480480$

Part $2$

Using

simple linear regression

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and given that the price per cup is

$$$$1\mathrm{.}851\mathrm{.}85,$

the forecasted demand for mocha latte coffees will be

$539\mathrm{.}6539\mathrm{.}6$

cups $($enter your response rounded to one decimal$$ place$).$