The following Minitab display gives information regarding the relationship between the body weight of a child (in kilograms) and the metabolic rate of the child (in 100 kcal/ 24 hr). se coor Predictor Constant 80.517500 (a) Write out the least-squares equation. +95.0 Coef 0.8408 0.39026 R-SQ 95.0% Submit Answer Need Help? Read It 0,4148 0.02978 Viewing Saved Work Revert to Last Response T (c) What is the value of the correlation coefficient r? (Use 3 decimal places.) 2.06 13.52 (b) For each 1 kilogram increase in weight, how much does the metabolic rate of a child increase? (Use 5 decimal places.) P 0.84 0.000 Submit Assignment Save Assignment Progress 0 11 11 59 INTL G D

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
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Chapter1: Starting With Matlab
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The image is a screenshot displaying statistical analysis from a Minitab output on the relationship between the body weight of a child (in kilograms) and the metabolic rate of the child (in 100 kcal/24 hr).

### Statistical Output

**Predictors:**

1. **Constant:**
   - Coefficient (Coef): 0.8408
   - Standard Error of Coefficient (SE Coef): 0.4148
   - t-value (T): 2.06
   - p-value (P): 0.054
   
2. **Weight:**
   - Coefficient (Coef): 0.3906
   - Standard Error of Coefficient (SE Coef): 0.0289
   - t-value (T): 13.52
   - p-value (P): 0.000

**Model Summary:**
- S = 0.137500
- R-Sq = 95.0%

### Questions

(a) **Write out the least-squares equation.**

- Input field for equation: \(\hat{y} = 0.8408 + 0.3906x + 95.0\)

(b) **For each 1 kilogram increase in weight, how much does the metabolic rate of a child increase?** 

- Input field for increase in metabolic rate (in 5 decimal places).

(c) **What is the value of the correlation coefficient r?** 

- Input field for correlation coefficient (use 3 decimal places).

### Additional Information

Below the statistical data, there are options to submit the answer, save assignment progress, and buttons such as "Need Help?" that link to additional resources.
Transcribed Image Text:The image is a screenshot displaying statistical analysis from a Minitab output on the relationship between the body weight of a child (in kilograms) and the metabolic rate of the child (in 100 kcal/24 hr). ### Statistical Output **Predictors:** 1. **Constant:** - Coefficient (Coef): 0.8408 - Standard Error of Coefficient (SE Coef): 0.4148 - t-value (T): 2.06 - p-value (P): 0.054 2. **Weight:** - Coefficient (Coef): 0.3906 - Standard Error of Coefficient (SE Coef): 0.0289 - t-value (T): 13.52 - p-value (P): 0.000 **Model Summary:** - S = 0.137500 - R-Sq = 95.0% ### Questions (a) **Write out the least-squares equation.** - Input field for equation: \(\hat{y} = 0.8408 + 0.3906x + 95.0\) (b) **For each 1 kilogram increase in weight, how much does the metabolic rate of a child increase?** - Input field for increase in metabolic rate (in 5 decimal places). (c) **What is the value of the correlation coefficient r?** - Input field for correlation coefficient (use 3 decimal places). ### Additional Information Below the statistical data, there are options to submit the answer, save assignment progress, and buttons such as "Need Help?" that link to additional resources.
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