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

Understanding Business
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ISBN:9781259929434
Author:William Nickels
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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.
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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