The following information is relevant to questions 5 through 7. An article on the American Journal of Public Health reported on a study to investigate the relationship between school start time and adolescent sleep patterns.1 The researchers used linear regression methods, including simple linear regression to analyze these data. Here are some adapted linear regression results from this study: < = . = + . //, where y = typical weeknight sleep duration in minutes, and x1 = school start time, measured as the number of minutes after 7 AM that the school starts. (So for example for 7:30, x1= 30; for 8:15, x1 = 75 etc..) The estimates and standard errors for the regression slope is: . / = 0.47; D. /E = 0.12 . = = 433.9; D. =E = 5.1 1 Paksarian D, Rudolph KE, He JP, and Merikangas KR. School start times and adolescent sleep patterns: results from the US National Comorbidity SurveyAdolescent Supplement. American Journal of Public Health (2015). 105 (7) 5. What is the estimated average nightly sleep duration for students with a start time of 7:45 AM? (rounded to the nearest integer value