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Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line x 10 7 13 8. 15 12 11 9.00 9.80 7.14 9.66 14 8.34 y 9.58 6.78 5.14 9.18 8.06 3.14 ...... x (Round to two decimal places as needed.)

Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line x 10 7 13 8. 15 12 11 9.00 9.80 7.14 9.66 14 8.34 y 9.58 6.78 5.14 9.18 8.06 3.14 ...... x (Round to two decimal places as needed.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question

1)

Check Image

2)

Create a scatterplot of the data

3)

Identify a characteristic of the data that is ignored by the regression line.

  1. There is no trend in the data.
  2. The data has a pattern that is not a straight line.
  3. There is an influential point that strongly affects the graph of the regression line.
  4. There is no characteristic of the data that is ignored by the regression line.
**Regression Line Calculation from Data** To find the equation of the regression line, use the given data: | x | 10 | 7 | 6 | 3 | 8 | 9 | 11 | 15 | 12 | 14 | 5 | |----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----| | y | 9.58 | 6.78 | 5.14 | 9.18 | 8.06 | 9.00 | 9.70 | 4.66 | 8.34 | 3.14 | ### Task: - Use the data to calculate the regression line. - Examine the scatterplot to identify a characteristic of the data ignored by the regression line. ### Regression Line Equation: The equation of a regression line is expressed as: \[ \hat{y} = a + bx \] - Fill in the values for \(a\) and \(b\) after calculation. - Ensure the values are rounded to two decimal places as needed. ### Notes: - A scatterplot would typically reveal patterns or characteristics such as clusters or outliers that a simple regression line might not fully capture.
Transcribed Image Text:**Regression Line Calculation from Data** To find the equation of the regression line, use the given data: | x | 10 | 7 | 6 | 3 | 8 | 9 | 11 | 15 | 12 | 14 | 5 | |----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----| | y | 9.58 | 6.78 | 5.14 | 9.18 | 8.06 | 9.00 | 9.70 | 4.66 | 8.34 | 3.14 | ### Task: - Use the data to calculate the regression line. - Examine the scatterplot to identify a characteristic of the data ignored by the regression line. ### Regression Line Equation: The equation of a regression line is expressed as: \[ \hat{y} = a + bx \] - Fill in the values for \(a\) and \(b\) after calculation. - Ensure the values are rounded to two decimal places as needed. ### Notes: - A scatterplot would typically reveal patterns or characteristics such as clusters or outliers that a simple regression line might not fully capture.
Expert Solution
Step 1

1)

Step-by-step procedure to find the regression line using Excel:

  • In Excel sheet, enter x and y in different columns.
  • In Data, select Data Analysis and Choose Regression.
  • In Input Y Range, select y.
  • In Input X Range, select x.
  • Click Labels in First Row.
  • Click OK.
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