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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.CR: Chapter 1 Review
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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.
Transcribed Image 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.
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