a. Determine the 0.95 confidence interval for the mean predicted when x= 5. b. Determine the 0.95 prediction interval for an individual predicted when x= 5.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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### Sample Observations

The following sample observations were randomly selected. **(Do not round the intermediate values. Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)**

| **X** | 5 | 5 | 4 | 6 | 10 |
|---|---|---|---|---|---|
| **Y** | 3 | 6 | 5 | 7 | 7 |

### Statistical Analysis

#### a. Confidence Interval

Determine the 0.95 confidence interval for the mean predicted when \( x = 5 \).

**Confidence Interval:**
\[ [ \ \, , \ \, ] \]

#### b. Prediction Interval

Determine the 0.95 prediction interval for an individual predicted when \( x = 5 \).

**Prediction Interval:**
\[ [ \ \, , \ \, ] \]
Transcribed Image Text:### Sample Observations The following sample observations were randomly selected. **(Do not round the intermediate values. Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)** | **X** | 5 | 5 | 4 | 6 | 10 | |---|---|---|---|---|---| | **Y** | 3 | 6 | 5 | 7 | 7 | ### Statistical Analysis #### a. Confidence Interval Determine the 0.95 confidence interval for the mean predicted when \( x = 5 \). **Confidence Interval:** \[ [ \ \, , \ \, ] \] #### b. Prediction Interval Determine the 0.95 prediction interval for an individual predicted when \( x = 5 \). **Prediction Interval:** \[ [ \ \, , \ \, ] \]
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