the number of murders per 100,000 residents ("Murder"). This data is shown in the two vectors below. To use the data, copy and paste the following lines into your R or RStudio console. Murder =c(0.8,9,11.1,3.2,3.3,6,2.6,8.1,13,8.8,2.6,8.8,15.4,9.7,5.7,10,17.4); Assault =c(45,276,254,120,110,109,53,294,337,190,120,190,249,109,81,263,211); a. Find the correlation between the number of assaults per 100,000 residents and the number of murders per 100,000 residents. Answer: Round to at least five decimals if necessary b. State the regression equation that expresses the number of murders per 100,000 residents as a linear function of the number of assaults per 100,000 residents 0 . Report all decimals printed by R. widehat(Y_(i))=vv (i) ?x_(i) c. Which is the correct interpretation of hat(\beta )_(0) in the above regression equation? A. As the number of assaults per 100,000 residents increases by 1 , the number of murders per 100,000 residents increases on average by hat(\beta _(0)) B. As the number of assaults per 100,000 residents increases by hat(\beta )_(0), the number of murders per 100,000 residents increases on average by 1 C. The number of assaults per 100,000 residents for a city with 0 murders per 100,000 residents is, on average, hat(\beta )_(0) D. As the number of assaults per 100,000 residents increases by hat(\beta )_(0), the number of murders per 100,000 residents increases by 1 E. As the number of assaults per 100,000 residents increases by 1 , the number of murders per 100,000 residents increases by hat(\beta )_(0) F. The number of murders per 100,000 residents for a city with 0 assaults per 100,000 residents is, on average, hat(\beta _(0)) d. The coefficient of determination tells us that % of the variation in is explained by its linear relationship with (i). Round to at least five decimals if necessary e. The fourth city in the dataset is a city that has a 120 assaults per 100,000 residents and 3.2 murders per 100,000 residents. Compute the residual for this city. e=, Round to at least five decimals if necessary