In a regression analysis of on-the-job head injuries of warehouse laborers caused by failing objects, y is a measure of severity of the injury, x is an index reflecting both the weight of the object and the distance it fell, and x2 and X3 are indicator variables for nature of head protection worn at the time of the accident, coded as follows: Type of projection X2 X3 Hard Hat 1 0 Bump Cap 0 1 None 0 0 The response function to be used in the study is E(y) = Bo+ B1x1+ B2x2+3x3 a) Develop the regression function for each type of protection category. b) For each of the following questions, specify the Ho and H for the appropriate test: 1) With x fixed, does wearing a bump cap reduce the expected severity of injury as compared with wearing no protection? 2) With x fixed, is the expected severity of injury the same when wearing a hard hat as when wearing a bump cap? No other data or charts were given so please don't comment that more information is needed. There's an answer for the same question but for the response function, not the regression function being developed. please show/explain your work clearly for me to follow along. Thank you