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The amount spent on groceries per week (y) and the number of household members (x) are shown below. r = X 2 3 3 1 5 y $383 $420 $466 $547 $208 $620 USE SALT Determine which variable is the independent variable and which is the dependent variable. The independent variable is ---Select--- and the dependent variable is ---Select--- ✓. Calculate the correlation coefficient r. (Round your answer to four decimal places.) y = 4 Calculate the equation of the regression line. (Round your numerical values to two decimal places.)

The amount spent on groceries per week (y) and the number of household members (x) are shown below. r = X 2 3 3 1 5 y $383 $420 $466 $547 $208 $620 USE SALT Determine which variable is the independent variable and which is the dependent variable. The independent variable is ---Select--- and the dependent variable is ---Select--- ✓. Calculate the correlation coefficient r. (Round your answer to four decimal places.) y = 4 Calculate the equation of the regression line. (Round your numerical values to two decimal places.)

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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### Plot the Points and the Line on a Scatterplot This educational visualization consists of four scatterplots, each presenting a set of data points and a line. Below is a detailed explanation of each scatterplot and the relationship between the data points and the line. #### Scatterplot Descriptions 1. **Top Left Scatterplot:** - **Axes:** The x-axis ranges from 0 to 700, and the y-axis ranges from 0 to 6. - **Data Points:** Five points are plotted, scattered across the plot. - **Line:** A slightly downward sloping line is shown. - **Description:** The data points do not follow a clear linear pattern, as there is a negative slope with scattered points. 2. **Top Middle Scatterplot:** - **Axes:** The x-axis ranges from 0 to 6, and the y-axis ranges from 0 to 700. - **Data Points:** Five points are plotted along a diagonal ascending path. - **Line:** An upward sloping line is shown, closely fitting the data points. - **Description:** The line fits well, indicating a positive linear relationship between x and y. 3. **Top Right Scatterplot:** - **Axes:** The x-axis ranges from 0 to 700, and the y-axis ranges from 0 to 6. - **Data Points:** Five points are plotted, generally following a diagonal ascending path. - **Line:** An upward sloping line is shown, fitting the points well. - **Description:** The relationship appears linear, with the line providing a good description of the data. 4. **Bottom Left Scatterplot:** - **Axes:** The x-axis ranges from 0 to 6, and the y-axis ranges from 0 to 700. - **Data Points:** Five points are plotted at higher y-values. - **Line:** A downward sloping line is shown, not closely following the distribution of points. - **Description:** There is no clear linear pattern in the data, and the line does not represent the data well. ### Question and Options: - **Does the line provide a good description of the data?** - **Option 1:** Yes, the scatterplot shows a linear pattern, so the line provides a good description of the data. - **Option 2:** No, the scatterplot shows a nonlinear pattern, so
Transcribed Image Text:### Plot the Points and the Line on a Scatterplot This educational visualization consists of four scatterplots, each presenting a set of data points and a line. Below is a detailed explanation of each scatterplot and the relationship between the data points and the line. #### Scatterplot Descriptions 1. **Top Left Scatterplot:** - **Axes:** The x-axis ranges from 0 to 700, and the y-axis ranges from 0 to 6. - **Data Points:** Five points are plotted, scattered across the plot. - **Line:** A slightly downward sloping line is shown. - **Description:** The data points do not follow a clear linear pattern, as there is a negative slope with scattered points. 2. **Top Middle Scatterplot:** - **Axes:** The x-axis ranges from 0 to 6, and the y-axis ranges from 0 to 700. - **Data Points:** Five points are plotted along a diagonal ascending path. - **Line:** An upward sloping line is shown, closely fitting the data points. - **Description:** The line fits well, indicating a positive linear relationship between x and y. 3. **Top Right Scatterplot:** - **Axes:** The x-axis ranges from 0 to 700, and the y-axis ranges from 0 to 6. - **Data Points:** Five points are plotted, generally following a diagonal ascending path. - **Line:** An upward sloping line is shown, fitting the points well. - **Description:** The relationship appears linear, with the line providing a good description of the data. 4. **Bottom Left Scatterplot:** - **Axes:** The x-axis ranges from 0 to 6, and the y-axis ranges from 0 to 700. - **Data Points:** Five points are plotted at higher y-values. - **Line:** A downward sloping line is shown, not closely following the distribution of points. - **Description:** There is no clear linear pattern in the data, and the line does not represent the data well. ### Question and Options: - **Does the line provide a good description of the data?** - **Option 1:** Yes, the scatterplot shows a linear pattern, so the line provides a good description of the data. - **Option 2:** No, the scatterplot shows a nonlinear pattern, so
**The amount spent on groceries per week (y) and the number of household members (x) are shown below.** | x | 2 | 3 | 3 | 4 | 1 | 5 | |---|---|---|---|---|---|---| | y | $383 | $420 | $466 | $547 | $208 | $620 | **Determine which variable is the independent variable and which is the dependent variable.** The independent variable is [Select] and the dependent variable is [Select]. **Calculate the correlation coefficient \( r \). (Round your answer to four decimal places.)** \( r = \) [ ] **Calculate the equation of the regression line. (Round your numerical values to two decimal places.)** \( y = \) [ ]
Transcribed Image Text:**The amount spent on groceries per week (y) and the number of household members (x) are shown below.** | x | 2 | 3 | 3 | 4 | 1 | 5 | |---|---|---|---|---|---|---| | y | $383 | $420 | $466 | $547 | $208 | $620 | **Determine which variable is the independent variable and which is the dependent variable.** The independent variable is [Select] and the dependent variable is [Select]. **Calculate the correlation coefficient \( r \). (Round your answer to four decimal places.)** \( r = \) [ ] **Calculate the equation of the regression line. (Round your numerical values to two decimal places.)** \( y = \) [ ]
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