The answer to the questions.

7. (35 points) A survey of a random sample of NYU undergraduate students was conducted to investigate the relationship between Sleep=average sleep time per night (in hours) and the following predictors: . Study =average study time per day (in hours) . CupsCoffee =average number of cups of coffee consumed by a student per day, . Age (in years) Answer questions below based on the Minitab output (some numbers are concealed and denoted by 1,2,..., etc). Regression Analysis: Sleep versus Age, Study, Cupscoffee Analysis of Variance Source DF SS MS F-Value Regression 1 (5) (7 (3 Error 2 6 (8 Total 46 51 . 8723 Model Summary S R-sq 4 39.72% Coefficients Term Coef SE Coef T-Value Constant 4.910 0.807 6. 08 Age 0 . 0449 0. 0395 1. 13 Study 0. 2308 0. 0727 3. 18 Cupscoffee -0. 3574 0. 0906 -3.94 Regression Equation Sleep = 4.910 + 0. 0449 Age + 0.2308 Study - 0.3574 Cupscoffee(a) Identify and Interpret the coefcients for Age, Study and Cupscoffee. [6pts] (b) How many students have been participated in this survey (what is the sample size am). And what is the degree of freedom for sum of squares due to regression (SSR) in ? [4pm] (c) What is the value of sum of squares due to regression (SSR) in and the sum of squared error (SSE) in (round to the 2nd decimal place)? [4pts] ((1) Identify predictor(s) that are NOT statistically signicant at a = 0.05 in the multiple regression and provide the detailed reasons. If there are multiple such predictors, please list all of them. But be careful that misidentication will also he considered as \"wrong\". (Hint: if you cannot nd the exact degree of freedom in the attached t-table, you could round the degree of freedom to the nearest number that is available in the ttable). [ths]