In a research study, a linear regression analysis was performed to investigate the relationship between the size of a household (number of family members) and their monthly grocery expenses (in dollars). The linear model obtained is Y=200+150X Where: Y represents the predicted monthly grocery expenses and X represents the size of the household (number of family members). Interpret the slope in context, including the numeric value of the slope and the units of both X and Y. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph V Arial 10pt A V Ix XQ== www
In a research study, a linear regression analysis was performed to investigate the relationship between the size of a household (number of family members) and their monthly grocery expenses (in dollars). The linear model obtained is Y=200+150X Where: Y represents the predicted monthly grocery expenses and X represents the size of the household (number of family members). Interpret the slope in context, including the numeric value of the slope and the units of both X and Y. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph V Arial 10pt A V Ix XQ== www
Chapter1: Taking Risks And Making Profits Within The Dynamic Business Environment
Section: Chapter Questions
Problem 1CE
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![In a research study, a linear regression analysis was performed to investigate the relationship between the size of a household (number of family members) and their monthly grocery expenses (in dollars). The linear model obtained is \( Y = 200 + 150X \).
Where:
- \( Y \) represents the predicted monthly grocery expenses.
- \( X \) represents the size of the household (number of family members).
Interpret the slope in context, including the numeric value of the slope and the units of both \( X \) and \( Y \).
For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).
---
**Explanation:**
The equation \( Y = 200 + 150X \) represents a linear relationship where for each additional family member (increase in \( X \)), the monthly grocery expenses (\( Y \)) increase by $150. The intercept, 200, indicates the baseline grocery expense when there are zero family members.
The toolbar mentioned (ALT+F10) appears to be related to formatting text in an editor interface, but it is not directly related to the content of the regression analysis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdfbc4ba1-e0ed-49af-a997-602aa39b0c1c%2Fc41197c0-8029-4d96-9ac9-2aac2fa0b0f6%2Flzcc3h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In a research study, a linear regression analysis was performed to investigate the relationship between the size of a household (number of family members) and their monthly grocery expenses (in dollars). The linear model obtained is \( Y = 200 + 150X \).
Where:
- \( Y \) represents the predicted monthly grocery expenses.
- \( X \) represents the size of the household (number of family members).
Interpret the slope in context, including the numeric value of the slope and the units of both \( X \) and \( Y \).
For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).
---
**Explanation:**
The equation \( Y = 200 + 150X \) represents a linear relationship where for each additional family member (increase in \( X \)), the monthly grocery expenses (\( Y \)) increase by $150. The intercept, 200, indicates the baseline grocery expense when there are zero family members.
The toolbar mentioned (ALT+F10) appears to be related to formatting text in an editor interface, but it is not directly related to the content of the regression analysis.
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