9.4 Absenteeism, Part I. Researchers interested in the relationship between absenteeism from school andcertain demographic characteristics of children collected data from 146 randomly sampled students in ruralNew South Wales, Australia, in a particular school year. Below are three observations from this data set.eth sex lrn days1 0 1 1 22 0 1 1 11: : : :146 1 0 0 37The summary table below shows the results of a linear regression model for predicting the average numberof days absent based on ethnic background (eth: 0 - aboriginal, 1 - not aboriginal), sex (sex: 0 - female, 1- male), and learner status (lrn: 0 - average learner, 1 - slow learner). ^10Estimate Std. Error t value Pr(>|t|)(Intercept) 18.93 2.57 7.37 0.0000eth -9.11 2.60 -3.51 0.0000sex 3.10 2.64 1.18 0.2411lrn 2.15 2.65 0.81 0.4177(a) Write the equation of the regression model.(b) Interpret each one of the slopes in this context.(c) Calculate the residual for the first observation in the data set: a student who is aboriginal, male, a slowlearner, and missed 2 days of school.(d) The variance of the residuals is 240.57, and the variance of the number of absent days for all studentsin the data set is 264.17. Calculate the R^2 and the adjusted R^2. Note that there are 146 observationsin the data set.