Find the least squares line. Graph the data and the least squares line. Find the least squares line. A. Ay 12- 0+ 0 y = x+ (Use integers or decimals for any numbers in the expression. Round to the nearest hundredth as needed.) Graph the data and the least squares line. Choose the correct answer below. X 12 B. 12- 0- y 12 12- 0- y 12 D. Ау 12+ X 2 0+ 345 3 4 5 12 y > ܗ ܗ ܘ ܝ 5 7 11 o o
Find the least squares line. Graph the data and the least squares line. Find the least squares line. A. Ay 12- 0+ 0 y = x+ (Use integers or decimals for any numbers in the expression. Round to the nearest hundredth as needed.) Graph the data and the least squares line. Choose the correct answer below. X 12 B. 12- 0- y 12 12- 0- y 12 D. Ау 12+ X 2 0+ 345 3 4 5 12 y > ܗ ܗ ܘ ܝ 5 7 11 o o
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![### Least Squares Line Calculation and Graph
**Objective:**
Find the least squares line. Graph the data and the least squares line.
**Given Data:**
| x | y |
|---|----|
| 2 | 5 |
| 3 | 7 |
| 4 | 9 |
| 5 | 11 |
---
**Step 1: Finding the Least Squares Line**
Equation to find:
\[ y = \text{(slope)} x + \text{(y-intercept)} \]
(Use integers or decimals for any numbers in the expression. Round to the nearest hundredth as needed.)
**Step 2: Graph the Data and the Least Squares Line**
Determine the correct graph for the least squares line. Choose the correct answer from the options below.
### Options:
**Option A:**
- A graph with points approximately at (2,5), (3,7), (4,9), (5,11)
- Blue least squares line with a shallow slope (almost flat)
**Option B:**
- A graph with points approximately at (2,5), (3,7), (4,9), (5,11)
- Blue least squares line with a zero slope (horizontal line)
**Option C:**
- A graph with points approximately at (2,5), (3,7), (4,9), (5,11)
- Blue least squares line with a steep positive slope
**Option D:**
- A graph with points approximately at (2,5), (3,7), (4,9), (5,11)
- Blue least squares line with an appropriate positive slope matching the trend of the data points
---
Choose the graph that best represents the least squares line computed from the given data points.
**Reminder:** A least squares line minimizes the sum of the squares of the vertical distances of the points from the line.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2b1cab43-2155-41da-a401-15f3493c67ce%2F2bb2f66c-872f-417b-962c-c8f375a44f13%2Fqje20z9_processed.png&w=3840&q=75)
Transcribed Image Text:### Least Squares Line Calculation and Graph
**Objective:**
Find the least squares line. Graph the data and the least squares line.
**Given Data:**
| x | y |
|---|----|
| 2 | 5 |
| 3 | 7 |
| 4 | 9 |
| 5 | 11 |
---
**Step 1: Finding the Least Squares Line**
Equation to find:
\[ y = \text{(slope)} x + \text{(y-intercept)} \]
(Use integers or decimals for any numbers in the expression. Round to the nearest hundredth as needed.)
**Step 2: Graph the Data and the Least Squares Line**
Determine the correct graph for the least squares line. Choose the correct answer from the options below.
### Options:
**Option A:**
- A graph with points approximately at (2,5), (3,7), (4,9), (5,11)
- Blue least squares line with a shallow slope (almost flat)
**Option B:**
- A graph with points approximately at (2,5), (3,7), (4,9), (5,11)
- Blue least squares line with a zero slope (horizontal line)
**Option C:**
- A graph with points approximately at (2,5), (3,7), (4,9), (5,11)
- Blue least squares line with a steep positive slope
**Option D:**
- A graph with points approximately at (2,5), (3,7), (4,9), (5,11)
- Blue least squares line with an appropriate positive slope matching the trend of the data points
---
Choose the graph that best represents the least squares line computed from the given data points.
**Reminder:** A least squares line minimizes the sum of the squares of the vertical distances of the points from the line.
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