Only answer question e

3. The following model is a simplified version of the multiple regression model used by Biddle and Hamermesh (1990) to study the tradeoff between time spent sleeping and working affecting sleep: sleep=0+1totwrk+u where sleep and totwrk (total work) are measured in minutes per week. Answer the following questions based on the data for 15 adults from UM (Table 1). Show your manual calculation clearly. (a) Draw a scatter plot. Series totwrk on the X-axis and series sleep on the Y-axis. (b) Compute the Pearson correlation coefficient. Is it significant at 5% level of significance. (c) Calculate the 0 and 1. (d) Compute the interval estimate for the totwrk at 5% level of significance. (e) Test whether tradeoff exits between time spent sleeping and working at 1% level of significance. (f) How much is the goodness of fit? Interpret your result. 3. The following model is a simplified version of the multiple regression model used by Biddle and Hamermesh (1990) to study the tradeoff between time spent sleeping and working affecting sleep: sleep=0+1totwrk+u where sleep and totwrk (total work) are measured in minutes per week. Answer the following questions based on the data for 15 adults from UM (Table 1). Show your manual calculation clearly. (a) Draw a scatter plot. Series totwrk on the X-axis and series sleep on the Y-axis. (b) Compute the Pearson correlation coefficient. Is it significant at 5% level of significance. (c) Calculate the 0 and 1. (d) Compute the interval estimate for the totwrk at 5% level of significance. (e) Test whether tradeoff exits between time spent sleeping and working at 1% level of significance. (f) How much is the goodness of fit? Interpret your result