Use the regression function for price p ( x ) = m x + b with m rounded to the nearest thousandth and b rounded to the nearest whole number that you found earlier to answer the questions below.

Question 1:

Compute p ( 45 ), rounded to the nearest whole number. Interpret your findings in terms of widget demand and price in complete sentences. Be sure to include the units on 45 and p ( 45 ) in your response.

Question 2:

Find a value of x would make p ( x ) = 0. Round to the nearest whole number. Interpret your findings in terms of widget demand and price in complete sentences. Be sure to include the units on x and p ( x ).

Question 3:

Use the data to make a scatter plot of the price of widgets as a function of demand. Include your regression line on the same plot. Adjust the max/min to display the data in a reasonable way. On the plot, be sure to

• Make a title for the plot "Price of Widgets".
• Label your axes. Label the horizontal axis "Annual widget demand", and label the vertical axis "Price per widget ($)".

Question 4:

Look at your plot. Does it look like the price of widgets can reasonably be modeled by a linear function of demand? Explain.