EXERCISES: Solve each of the following problems. Show all solutions. 1. The grades of a class of 9 students on a midterm report (x) and on the final examination (y) are as follows: x |77 |50 |71 |72...

Extracted text: EXERCISES: Solve each of the following problems. Show all solutions. 1. The grades of a class of 9 students on a midterm report (x) and on the final examination (y) are as follows: x |77 |50 |71 |72 |81 82 | 66 | 94 |96 | 99 |67 y 99 78 | 34 |47 | 85 | 99 67 (a) Find the equation of the regression line. (b) Estimate the final examination grade of a student who receive a grade of 85 on the midterm report but was ill at the time of the final examination. 2. A study was made on the amount of converted sugar in a certain process at various temperatures. The data were coded and recorded as follows: |Temperature, x Converted Sugar, | Temperature, x | Converted Sugar, 1.0 _y 8.6 8.1 1.6 1.1 1.2 1.7 1.8 10.2 9.3 7.8 8.5 1.3 9.8 1.9 9.2 1.4 9.5 2.0 10.5 1.5 8.9 (a) Estimate the linear regression line. (b) Estimate the amount of converted sugar produced when the coded temperature is 1.75.