The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 2003, and y
represents number of new cases. Write the linear regression equation that represents
this set of data, rounding all coefficients to the nearest hundredth. Using this
equation, estimate the calendar year in which the number of new cases would reach
670.
Years since 2003 (x) New Cases (y)
0
836
1
797
2
798
3
757
4
718
5
706

The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends more than a certain amount per visit at this supermarket. the expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $95 and a standard deviation of $20. if the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift?