The table gives the average heights of children for ages 1-10, where x = the age (in years) and y = the height (in cm). 3 4 5 6 7 8 10 93 100 107 113 120 124 135 Age (years) Height (cm) 1 73 2 85 9 130 Part a: Make a scatter plot and determine which type of model best fits the data. Part b: Find the regression equation. Part c: Can your equation be used to find the average height of a 20 year old? Explain.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Question 3**

The table gives the average heights of children for ages 1–10, where \( x \) = the age (in years) and \( y \) = the height (in cm).

| Age (years) | 1  | 2  | 3  | 4  | 5  | 6  | 7  | 8  | 9  | 10  |
|-------------|----|----|----|----|----|----|----|----|----|-----|
| Height (cm) | 73 | 85 | 93 | 100| 107| 113| 120| 124| 130| 135 |

**Part a:** Make a scatter plot and determine which type of model best fits the data.

**Part b:** Find the regression equation.

**Part c:** Can your equation be used to find the average height of a 20-year-old? Explain.

For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).
Transcribed Image Text:**Question 3** The table gives the average heights of children for ages 1–10, where \( x \) = the age (in years) and \( y \) = the height (in cm). | Age (years) | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | |-------------|----|----|----|----|----|----|----|----|----|-----| | Height (cm) | 73 | 85 | 93 | 100| 107| 113| 120| 124| 130| 135 | **Part a:** Make a scatter plot and determine which type of model best fits the data. **Part b:** Find the regression equation. **Part c:** Can your equation be used to find the average height of a 20-year-old? Explain. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).
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