2. Last week, Abe’s carpet store sold 160 square feet of a particular carpet for $878.40. Bob’s carpet store sold 85 square feet of the same carpet for $466.65. a. Is cost proportional to area for this carpet? Show all relevant calculations and then explain your conclusion in a full sentence. b. Answer ONE of the questions below depending on whether or not cost is proportional to area for this carpet. If cost is proportional to area, what is the cost of 118 square feet of carpet? Show your work. Use dimensional analysis. If cost is not proportional to area, which store has the better unit price for carpet? Explain your choice.
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
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2. Last week, Abe’s carpet store sold 160 square feet of a particular carpet for $878.40. Bob’s carpet store sold 85 square feet of the same carpet for $466.65. |
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a. Is cost proportional to area for this carpet? Show all relevant calculations and then explain your conclusion in a full sentence. |
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b. Answer ONE of the questions below depending on whether or not cost is proportional to area for this carpet. |
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If cost is proportional to area, what is the cost of 118 square feet of carpet? Show your work. Use dimensional analysis. |
If cost is not proportional to area, which store has the better unit price for carpet? Explain your choice. |
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