Sweet Valley High School is planning its $20-$year class reunion for the class of $2003.$ In estimating costs for the reunion, the planning committee compiled a number of people in attendance and related total costs for each previous class reunion held. The data was then entered in a spreadsheet program and a regression analysis was performed. The analysis resulted in the following cost behavior equation: $Y=250x+1,000$ and indicated that $95\%$ of variability in total costs could be explained by the number of people in attendance.

Which of the following statements is incorrect if the committee is expecting $220$ people to attend the reunion and all costs should be covered by those who attend?

The $x$ variable coefficient is $250,$ and the intercept coefficient is $1,000.$

If the estimate is correct, the total fixed costs will be $$220,000.$

Assuming the estimate is realistic, the minimum price that should be charged per person is $$254\mathrm{.}55.$

It is unlikely that an outlier exists in the data used to perform the regression analysis.

The best estimate of total costs for the reunion is $$56,000.$