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 finalexamination (y) are as follows:x |77 |50 |71 |72 |8182 | 66| 94 |96 | 99 |67y9978 | 34 |47 | 85 | 9967(a) Find the equation of the regression line.(b) Estimate the final examination grade of a student who receive a grade of85 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 atvarious temperatures. The data were coded and recorded as follows:|Temperature, xConverted Sugar, | Temperature, x | Converted Sugar,1.0_y8.68.11.61.11.21.71.810.29.37.88.51.39.81.99.21.49.52.010.51.58.9(a) Estimate the linear regression line.(b) Estimate the amount of converted sugar produced when the codedtemperature is 1.75.

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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 | 47 81 |94 | 96 | 99 67 y 82 66 | 78 | 34 | 85 99 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.