The grades of a class of 9 students on a midterm report (x) and on the final examination (y) are as follows: 77 50 71 72 81 94 96 99 67 ... y 82 66 78 34 47 85 99 99 68 Answer the following questions: 1. Estimate the linear regression equation: y = a + bx • What is the value of a? Blank 1 • What is the value of b? Blank 2 Remarks: Round off up to 4 decimal places 2. What is the correlation coefficient of the given data? Blank 3 Blank 4 Remarks: Round off up to 4 decimal places 3. What is the coefficient of determination? Blank 5 Remarks: Round off up to 4 decimal places

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
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The grades of a class of 9 students on a midterm report (x) and on the final examination (y) are as
follows:
77 50 71 72 81 94 96 99 67
...
82 66 78 34 47 85 99 99 68
Answer the following questions:
1. Estimate the linear regression equation: y = a + bx
• What is the value of a? Blank 1
• What is the value of b? Blank 2
Remarks: Round off up to 4 decimal places
2. What is the correlation coefficient of the given data? Blank 3 Blank 4 Remarks: Round off up to 4 decimal
places
3. What is the coefficient of determination? Blank 5 Remarks: Round off up to 4 decimal places
4. Based from your answer in #3, is this a reliable model for future forecasts? Blank 6 Options: { Yes, No,
Uncertain }
5. Estimate the final examination grade of a student who received a grade of 85 on the midterm report.
Blank 7
Remarks: Round off up to 2 decimal places
Transcribed Image Text:The grades of a class of 9 students on a midterm report (x) and on the final examination (y) are as follows: 77 50 71 72 81 94 96 99 67 ... 82 66 78 34 47 85 99 99 68 Answer the following questions: 1. Estimate the linear regression equation: y = a + bx • What is the value of a? Blank 1 • What is the value of b? Blank 2 Remarks: Round off up to 4 decimal places 2. What is the correlation coefficient of the given data? Blank 3 Blank 4 Remarks: Round off up to 4 decimal places 3. What is the coefficient of determination? Blank 5 Remarks: Round off up to 4 decimal places 4. Based from your answer in #3, is this a reliable model for future forecasts? Blank 6 Options: { Yes, No, Uncertain } 5. Estimate the final examination grade of a student who received a grade of 85 on the midterm report. Blank 7 Remarks: Round off up to 2 decimal places
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