### Educational Content#### Least-Squares Regression AnalysisThe following data set, available in the file *Practice_Problem10.xls*, provides the bone strengths of the dominant and nondominant arms for 15 men who participated as controls in a study. The least-squares regression line for these data is defined by the equation:\[ \text{dominant} = 2.74 + (0.936 \times \text{nondominant}) \]**Task:** Calculate the residual for ID 9.**Residual Calculation:**- The calculated residual for ID 9 is: **2.4776**#### Question 16: Extrapolation ConcernsWhen using the least-squares regression equation, it's essential to consider the accuracy limitations, particularly regarding extrapolation. For each given nondominant arm strength value (8, 15, 20, 5, 30), determine if there is a concern regarding the equation's accuracy:1. **8** - Consider: [Choose between extrapolation or accurate prediction]2. **15** - Consider: [Choose between extrapolation or accurate prediction]3. **20** - Consider: [Choose between extrapolation or accurate prediction]4. **5** - Consider: [Choose between extrapolation or accurate prediction]5. **30** - Consider: [Choose between extrapolation or accurate prediction]**Note:** Extrapolation occurs when predictions are made for values outside the range of the original data, potentially leading to inaccuracies. **Data Table: Hand Strength Measurements**This table displays hand strength measurements for individuals categorized into two groups: Control and Baseball. The measurements are given for both the non-dominant (NonDom) and dominant (Dom) hands. The data is structured as follows:| ID | Group | NonDom | Dom ||----|---------|--------|------|| 1 | Control | 15.7 | 16.3 || 2 | Control | 25.2 | 26.9 || 3 | Control | 17.9 | 18.7 || 4 | Control | 19.1 | 22.0 || 5 | Control | 12.0 | 14.8 || 6 | Control | 20.0 | 19.8 || 7 | Control | 12.3 | 13.1 || 8 | Control | 14.4 | 17.5 || 9 | Control | 15.9 | 20.1 || 10 | Control | 13.7 | 18.7 || 11 | Control | 17.7 | 18.7 || 12 | Control | 15.5 | 15.2 || 13 | Control | 14.4 | 17.5 || 14 | Control | 14.1 | 15.0 || 15 | Control | 12.3 | 12.9 || 16 | Baseball| 17.0 | 19.3 || 17 | Baseball| 16.9 | 25.2 || 18 | Baseball| 17.7 | 25.2 || 19 | Baseball| 21.2 | 37.7 || 20 | Baseball| 21.0 | 40.3 || 21 | Baseball| 14.6 | 20.8 || 22 | Baseball| 14.9 | 21.2 || 23 | Baseball| 15.1 | 19.4 || 24 | Baseball| 13.5 | 20.4 || 25 | Baseball| 13

Given: dominant = 2.74 + 0.936×nondominant

Answered: The following data set, Practice…

MATLAB: An Introduction with Applications

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The following data set, Practice Problem10.xls . gives the bone strengths of the dominant and the nondominant arms for 15 men who were controls in a study. The least-squares regression line for these data is dominant = 2.74 + (0.936 x nondominant) Calculate the residual ID 9. 2.4776