A doctor wished to determine whether a relation exists between the height of a female and her weight. She obtained the heights and weights of 9 females aged 18 to 24. Let height be the independent variable x, measured in inches, and weight be the dependent variable y, measured in pounds. 10. X 60 61 62 64 65 65 67 68 68 y 100 105 110 112 115 120 124 130 137 a) Use the regression capabilities of your graphing utility to find the equation of the line that best fits the data. Round to three decimal places. b) Use your equation to predict the weight of a woman whose height is 72 inches.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Study on Correlation Between Height and Weight in Females Aged 10-24**

**Objective:**  
A doctor aimed to explore the potential correlation between height (inches) and weight (pounds) in females aged 10 to 24.

**Data Collection:**  
- Height (inches), denoted as \( x \), is the independent variable.
- Weight (pounds), denoted as \( y \), is the dependent variable.

**Data Table:**

| \( x \) (Height in inches) | \( y \) (Weight in pounds) |
|----------------------|-------------------|
| 60                   | 100               |
| 61                   | 105               |
| 62                   | 110               |
| 64                   | 115               |
| 65                   | 120               |
| 65                   | 124               |
| 67                   | 130               |
| 68                   | 137               |

**Tasks:**

**a)** Utilize the regression capabilities of graphing tools to determine the equation of the line that best fits the given data. The result should be rounded to three decimal places.

**b)** Apply the obtained equation to predict the weight of a female whose height is 72 inches.

The study aims to provide insights into the relationship between height and weight, helping in various fields such as healthcare and nutrition to understand growth patterns and health status among young females.
Transcribed Image Text:**Study on Correlation Between Height and Weight in Females Aged 10-24** **Objective:** A doctor aimed to explore the potential correlation between height (inches) and weight (pounds) in females aged 10 to 24. **Data Collection:** - Height (inches), denoted as \( x \), is the independent variable. - Weight (pounds), denoted as \( y \), is the dependent variable. **Data Table:** | \( x \) (Height in inches) | \( y \) (Weight in pounds) | |----------------------|-------------------| | 60 | 100 | | 61 | 105 | | 62 | 110 | | 64 | 115 | | 65 | 120 | | 65 | 124 | | 67 | 130 | | 68 | 137 | **Tasks:** **a)** Utilize the regression capabilities of graphing tools to determine the equation of the line that best fits the given data. The result should be rounded to three decimal places. **b)** Apply the obtained equation to predict the weight of a female whose height is 72 inches. The study aims to provide insights into the relationship between height and weight, helping in various fields such as healthcare and nutrition to understand growth patterns and health status among young females.
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