Question

Example 5 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 94 96 99 67 y 82 66 78 34 47 85 99 99 68 1. Estimate the linear regression line. 2. Construct the 95% Confidence Interval for the regression ?. 3. Estimate the final examination grade of a student who received a graded of 85 on the midterm report. 4. Test the hypothesis H? : ? = 0.5 against the hypothesis H? : ? ? 0.5.

          Example 5 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 94 96 99 67
y 82 66 78 34 47 85 99 99 68
1. Estimate the linear regression line.
2. Construct the 95% Confidence Interval for the regression ?.
3. Estimate the final examination grade of a student who received a graded of 85 on the midterm report.
4. Test the hypothesis H? : ? = 0.5 against the hypothesis H? : ? ? 0.5.

Example 5 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 94 96 99 67
y 82 66 78 34 47 85 99 99 68
1. Estimate the linear regression line.
2. Construct the 95% Confidence Interval for the regression ?.
3. Estimate the final examination grade of a student who received a graded of 85 on the midterm report.
4. Test the hypothesis H? : ? = 0.5 against the hypothesis H? : ? ? 0.5.

Added by Breanna D.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Thuc Nguyen

12/15/2021

Step 1

Estimate the linear regression line: First, we need to calculate the mean of X and Y. The mean of X (x̄) is 78.67 and the mean of Y (ȳ) is 75.67. Then, we calculate the sum of the product of the differences from the mean for X and Y (Σ(Xi-x̄)(Yi-ȳ)) and the sum Show more…

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Example 5 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 94 96 99 67 y 82 66 78 34 47 85 99 99 68 1. Estimate the linear regression line. 2. Construct the 95% Confidence Interval for the regression ̠. 3. Estimate the final examination grade of a student who received a graded of 85 on the midterm report. 4. Test the hypothesis H₀ : ̠ = 0.5 against the hypothesis H₁ : ̠ ≠ 0.5.