After graduation, you take a position at Top$-$Slice, a well$-$known manufacturer of golf balls. One of your duties is to

forecast monthly demand for golf balls. Using the following data, you developed a regression model that expresses

monthly sales as a function of average temperature for the month:

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a$.$ Show how the hat$(a)$ and hat$(b)$ values of $-337\mathrm{.}0$ and $88\mathrm{.}9$ were calculated.

Calculate the slope coefficient, hat$(b)($enter your responses as whole numbers$).$

hat$(b)=\frac{4252000-\frac{(755)(63110)}{12}}{50665-\frac{(755{)}^2}{12}}=88\mathrm{.}9$

Calculate the intercept term, hat$(a)($enter your responses rounded to one decimal place$).$

hat$(a)=5259\mathrm{.}2-88\mathrm{.}962\mathrm{.}92=-337\mathrm{.}0$

b$.$ Use the regression forecasting model to forecast total golf ball sales for June and July $2018.$ Average temperatures are expected to be $73$ degrees in June and $82$ degrees in July.

The forecast of total golf ball sales for June $2018$ is

$($Enter your response rounded to the nearest whole number.$)$

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