sample mean sample variance S02 136.5238 7382.362 rrate 1.49619 0.6717248 Table 1: Summary statistics for tombstone data. Call : 1m (formula = rrate ~ $02, data = dat) Coefficients : Estimate Std. Error t value Pr(>|t/) (Intercept) 0. 3229959 0. 1521958 2. 122 0. 0472 * S02 0. 0085933 0. 0009499 9. 046 2. 58e-08 *** Signif. codes: 0 '* ** 0. 001 '**' 0.01 '* * 0.05 '. ' 0.1 ' * 1 Residual standard error: 0.365 on 19 degrees of freedom Multiple R-squared: 0.8116, Adjusted R-squared: 0.8017 (a) (2 pts) Write a sentence providing an interpretation of B1 = 0.0085933, the estimated coef- ficient for the variable S02, in terms of the problem. (b) (2 pts) Use the fitted model to predict a future, unobserved mean surface recession rate for a specific tombstone exposed to an a mean 100-year SO2 concentration of 100 pg/m3. Show your work mathematically (no code required).(g) (2 pts) What conclusion do you draw as a result of the test? Write your conclusion in sentence form in terms of the problem (don't just say "reject" or "fail to reject" the null hypothesis)