From the scatterplot and correlation chart below, write a conclusion that includes the following information. A survey was conducted to determine the number of pets in household and monthly expenditure on pet food for a sample of students at Central Piedmont Community College (CPCC). 1. What is the explanatory and response variable. 2. What is the equation of the regression line? 3. What is the correlation coefficient and is it significant? 4. Based on this scatter plot, please provide an interpretation of the slope and the y- intercept in one or two sentences. (If there is no valid interpretation please explain why) uner12 Number of pets in household Monthly food expenditure (5)
From the scatterplot and correlation chart below, write a conclusion that includes the following information. A survey was conducted to determine the number of pets in household and monthly expenditure on pet food for a sample of students at Central Piedmont Community College (CPCC). 1. What is the explanatory and response variable. 2. What is the equation of the regression line? 3. What is the correlation coefficient and is it significant? 4. Based on this scatter plot, please provide an interpretation of the slope and the y- intercept in one or two sentences. (If there is no valid interpretation please explain why) uner12 Number of pets in household Monthly food expenditure (5)
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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Transcribed Image Text:From the scatterplot and correlation chart below, write a conclusion that includes the following information.
A survey was conducted to determine the number of pets in a household and monthly expenditure on pet food for a sample of students at Central Piedmont Community College (CPCC).
1. What is the explanatory and response variable?
2. What is the equation of the regression line?
3. What is the correlation coefficient and is it significant?
4. Based on this scatter plot, please provide an interpretation of the slope and the y-intercept in one or two sentences. (If there is no valid interpretation please explain why)
---
Scatterplot Explanation:
- **X-axis (Horizontal):** Number of pets in the household.
- **Y-axis (Vertical):** Monthly food expenditure ($).
- **Data Points:** Each point represents a household’s number of pets and corresponding monthly pet food expenditure.
- **Regression Line:** The line of best fit is displayed, with the equation given as \( y = 13.3x + 13.9 \).
- **Correlation Coefficient:** Displayed as \( 0.312 \) which indicates a weak positive linear relationship between the number of pets and monthly food expenditure.
Transcribed Image Text:**Title: Correlations of Number of Pets in Household vs Monthly Food Expenditure**
This table presents the correlation analysis between the number of pets in a household and the monthly food expenditure in dollars.
**Table Summary:**
- **Variables Assessed:**
- Number of pets in household
- Monthly food expenditure
- **Analysis Type:**
- Pearson Correlation
**Table Details:**
1. **Number of Pets in Household:**
- Pearson Correlation with itself: 1
- Pearson Correlation with Monthly Food Expenditure: .559**
- Significance (2-tailed): .001
- Sample size (N): 33
2. **Monthly Food Expenditure:**
- Pearson Correlation with Number of Pets in Household: .559**
- Pearson Correlation with itself: 1
- Significance (2-tailed): .001
- Sample size (N): 33
**Interpretation:**
- A Pearson Correlation value of .559 indicates a moderate positive correlation between the number of pets and monthly food expenditure, suggesting that as the number of pets increases, the monthly expenditure on food also tends to increase.
- The significance level of .001 indicates that this correlation is statistically significant at the 0.01 level (2-tailed), implying a high level of confidence in these results.
**Note:**
- The double asterisks (**) signify that the correlation is significant at the 0.01 level, showing a strong statistical significance.
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