MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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### Statistical Analysis Assignment

#### Given:
(Source: 8th edition of Understandable Statistics, pp 598-599)

| X weight  | 3.0 | 5.0 | 9.0 | 11.0 | 15.0 | 17.0 | 19.0 | 21.0 |
|-----------|-----|-----|-----|------|------|------|------|------|
| Y metabolic rate | 1.4 | 2.7 | 5.0 | 6.0 | 7.1 | 7.8 | 8.3 | 8.8 |

#### Instructions:

1. **Refer to Section 10.1 #14.**
   
   a. Use Excel to make a scatter diagram with a best fit hand-drawn line through the points. Tape your diagram below. Remember to add title and axis labels.

   b. Do you think the correlation is a) low, moderate, or strong? b) Positive or negative?
   
   **Ans. a:** ____________________
   
   **Ans. b:** ____________________

   c. Use Excel to a) determine the correlation coefficient, b) does this coefficient imply that y will increase or decrease as x increases?

   **Ans. a:** ____________________
   
   **Ans. b:** ____________________

#### Analysis:

1. **Scatter Diagram:**
   - Use the provided data to create a scatter diagram in Excel. 
   - Plot the X (weight) values on the horizontal axis and Y (metabolic rate) values on the vertical axis.
   - Hand draw a line of best fit through the scattered points to visually represent the relationship between X and Y.

2. **Correlation Assessment:**
   - After plotting the scatter diagram, visually analyze the data points to determine the strength and direction of the correlation.
   - Answer if the correlation appears to be low, moderate, or strong and whether it is positive or negative.

3. **Correlation Coefficient:**
   - Use Excel to calculate the correlation coefficient using the CORREL function.
   - Based on the sign and magnitude of the correlation coefficient, determine if Y (metabolic rate) will increase or decrease as X (weight) increases.
   
This assignment will help you understand how to visually and numerically assess the correlation between two sets of data using scatter diagrams and correlation coefficients.
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Transcribed Image Text:### Statistical Analysis Assignment #### Given: (Source: 8th edition of Understandable Statistics, pp 598-599) | X weight | 3.0 | 5.0 | 9.0 | 11.0 | 15.0 | 17.0 | 19.0 | 21.0 | |-----------|-----|-----|-----|------|------|------|------|------| | Y metabolic rate | 1.4 | 2.7 | 5.0 | 6.0 | 7.1 | 7.8 | 8.3 | 8.8 | #### Instructions: 1. **Refer to Section 10.1 #14.** a. Use Excel to make a scatter diagram with a best fit hand-drawn line through the points. Tape your diagram below. Remember to add title and axis labels. b. Do you think the correlation is a) low, moderate, or strong? b) Positive or negative? **Ans. a:** ____________________ **Ans. b:** ____________________ c. Use Excel to a) determine the correlation coefficient, b) does this coefficient imply that y will increase or decrease as x increases? **Ans. a:** ____________________ **Ans. b:** ____________________ #### Analysis: 1. **Scatter Diagram:** - Use the provided data to create a scatter diagram in Excel. - Plot the X (weight) values on the horizontal axis and Y (metabolic rate) values on the vertical axis. - Hand draw a line of best fit through the scattered points to visually represent the relationship between X and Y. 2. **Correlation Assessment:** - After plotting the scatter diagram, visually analyze the data points to determine the strength and direction of the correlation. - Answer if the correlation appears to be low, moderate, or strong and whether it is positive or negative. 3. **Correlation Coefficient:** - Use Excel to calculate the correlation coefficient using the CORREL function. - Based on the sign and magnitude of the correlation coefficient, determine if Y (metabolic rate) will increase or decrease as X (weight) increases. This assignment will help you understand how to visually and numerically assess the correlation between two sets of data using scatter diagrams and correlation coefficients.
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