Sue comes to you to help her develop a forecasting model for her business. She is

particularly interested in predicting the number of ice creams she will sell during th

summer. She has learned that the weather is a good predictor of ice sales and come

to you for advice. You have helped her develop the following regression model.

$Y=150+3x1$

Where

$Y=$ demand for ice cream

$x1=$ the outside temperature $)$

Note: Show your results and the process

$($a$)$ What is the demand for ice cream when the temperature is $65F?$

$($b$)$ What is the demand for ice cream when the temperature is $75F?$

$($c$)$ What is the demand for ice cream when the temperature is $85F?$

$($d$)$ What is the demand for ice cream when the temperature is $95F?$

$($e$)$ What is the demand for ice cream when the temperature is $105F?$

$($f$)$ Under what conditions is Sue likely to sell more ice cream?

$($g$)$ Under what conditions is she less likely to sell more ice cream?

$($h$)$ Graphically represent the relationship between the outside temperature and the sales

of ice cream. What can you say about this relationship?