Below are the average heights for American boys in 1990. Age (years) Height (cm) birth 50.8 2 83.8 3 91.4 106.6 119.3 10 137.1 14 157.5 O Part (a) O Part (b) O Part (c) O Part (d) Calculate the least squares line. Put the equation in the form of: ý = a + bx. (Round your answers to three decimal places.)
Below are the average heights for American boys in 1990. Age (years) Height (cm) birth 50.8 2 83.8 3 91.4 106.6 119.3 10 137.1 14 157.5 O Part (a) O Part (b) O Part (c) O Part (d) Calculate the least squares line. Put the equation in the form of: ý = a + bx. (Round your answers to three decimal places.)
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter2: Solving Equations
Section2.6: Solving Equations Using Multiplication Or Division
Problem 47E
Related questions
Question
Please label each part
![## Part (i)
**Task:**
Use the least squares line to estimate the average height for a sixty-five-year-old man. (Use your equation from part (d). Round your answer to one decimal place.)
- Estimated average height: _______ cm
**Question:**
Do you think that your answer is reasonable? Why or why not?
- Options:
- ( ) Yes, because the answer is positive.
- (●) No, because 65 is outside the domain of the least squares line.
## Part (j)
**Task:**
What is the slope of the least squares (best-fit) line? (Round your answer to three decimal places.)
- Slope: _______
**Interpretation:**
Interpret the slope. (Round your answer to three decimal places.)
- As age increases by one year, the average height **increases** by _______ centimeters.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fba3fd56c-d0e8-48f8-a096-874bc7ee8436%2Febe99ea5-be88-4a2a-9ae7-088988df3139%2Fz1khjk_processed.png&w=3840&q=75)
Transcribed Image Text:## Part (i)
**Task:**
Use the least squares line to estimate the average height for a sixty-five-year-old man. (Use your equation from part (d). Round your answer to one decimal place.)
- Estimated average height: _______ cm
**Question:**
Do you think that your answer is reasonable? Why or why not?
- Options:
- ( ) Yes, because the answer is positive.
- (●) No, because 65 is outside the domain of the least squares line.
## Part (j)
**Task:**
What is the slope of the least squares (best-fit) line? (Round your answer to three decimal places.)
- Slope: _______
**Interpretation:**
Interpret the slope. (Round your answer to three decimal places.)
- As age increases by one year, the average height **increases** by _______ centimeters.
![Below are the average heights for American boys in 1990.
| Age (years) | Height (cm) |
|-------------|-------------|
| birth | 50.8 |
| 2 | 83.8 |
| 3 | 91.4 |
| 5 | 106.6 |
| 7 | 119.3 |
| 10 | 137.1 |
| 14 | 157.5 |
- **Part (a)**
- **Part (b)**
- **Part (c)**
- **Part (d)**
Calculate the least squares line. Put the equation in the form of:
\(\hat{y} = a + bx\). (Round your answers to three decimal places.)
\(\hat{y} = \_\_\_\_\_\_\_\_\_\_\_\_ + \_\_\_\_\_\_\_\_\_\_\_\_ x\)
- **Part (e)**
Find the correlation coefficient \(r\). (Round your answer to four decimal places.)
\(r = \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \)
Is it significant?
- [ ] Yes
- [ ] No ✔
- **Part (f)**
Find the estimated average height for a one-year-old. (Use your equation from part (d). Round your answer to one decimal place.)
\_\_\_\_\_\_\_\_\_ cm
Find the estimated average height for an eleven-year-old. (Use your equation from part (d). Round your answer to two decimal places.)
\_\_\_\_\_\_\_\_\_ cm](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fba3fd56c-d0e8-48f8-a096-874bc7ee8436%2Febe99ea5-be88-4a2a-9ae7-088988df3139%2Fq7mfj_processed.png&w=3840&q=75)
Transcribed Image Text:Below are the average heights for American boys in 1990.
| Age (years) | Height (cm) |
|-------------|-------------|
| birth | 50.8 |
| 2 | 83.8 |
| 3 | 91.4 |
| 5 | 106.6 |
| 7 | 119.3 |
| 10 | 137.1 |
| 14 | 157.5 |
- **Part (a)**
- **Part (b)**
- **Part (c)**
- **Part (d)**
Calculate the least squares line. Put the equation in the form of:
\(\hat{y} = a + bx\). (Round your answers to three decimal places.)
\(\hat{y} = \_\_\_\_\_\_\_\_\_\_\_\_ + \_\_\_\_\_\_\_\_\_\_\_\_ x\)
- **Part (e)**
Find the correlation coefficient \(r\). (Round your answer to four decimal places.)
\(r = \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \)
Is it significant?
- [ ] Yes
- [ ] No ✔
- **Part (f)**
Find the estimated average height for a one-year-old. (Use your equation from part (d). Round your answer to one decimal place.)
\_\_\_\_\_\_\_\_\_ cm
Find the estimated average height for an eleven-year-old. (Use your equation from part (d). Round your answer to two decimal places.)
\_\_\_\_\_\_\_\_\_ cm
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