A retail grocer is considering running a one-day special on five-pound bags of white sugar. Prior to setting the sale prices, the grocer analyzes past data on sugar sales. The data are below. Price is given incentsand sales innumber of unitssold per day.

Price	Sales
141	290
144	275
149	282
155	241
159	190
165	210
169	198

1. Estimate the regression equation.
2. Is this linear regression an adequate model for the data? What objective evidence can you cite to justify your answer?
3. The grocer is considering sale prices of $1.35 or $1.49. What sales could he expect at each of these prices? Discuss any caveats to these predictions.
4. Find and interpret a 95% confidence interval for mean sales for a price of $1.35.

5. Find and interpret a 95% prediction interval on sales for a price of $1.35.

6. Which interval would be of most use to the grocer in this situation?Explain your choice.