For $,$ the estimated precipitation depth for a $24-$hour storm as a function of

different return periods is provided below

Based on the information provided in the table, determine

a$.$ Weibull parameters $($ c and k $)$ and the R $-$squared value of the linear regression model

b$.$ The $24-$hr rainfall depth $($in$.)$ associated with a $1000-$year storm $($recurrence interval$),$

based on the Weibull equation found in part $($a$)$

c$.$ The recurrence interval of a $24-$hour storm with a precipitation depth of $4\mathrm{.}8$ in$.$