Math Problem Statement
Solution
The image you uploaded appears to be a statistics-based assignment involving sales data for OnePlus and BBK Electronics. Let's break down the questions based on the given dataThe image you uploaded appears to be a statistics-based assignment involving sales data for OnePlus and BBK Electronics. Let's break down the questions based on the given
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Dealer's Location vs Sales Data (Table Q4.1.G):
- The table shows sales (in Lakhs) for OnePlus and BBK Electronics in different locations (Chennai, Punjab) for the year 2010.
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Questions and Partial Answers:
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Q2: Population standard deviation of OnePlus sales:
- Given: (answer is already filled in).
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Q3: Sample standard deviation of BBK Electronics sales:
- Given: (answer is already filled in).
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Q4: Sample covariance between sales of OnePlus and BBK Electronics:
- Given: (answer is already filled in).
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Q5: Correlation coefficient between sales of OnePlus and BBK Electronics:
- Given: (answer is already filled in).
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Q6: Linear relationship between the sales of OnePlus and BBK Electronics:
- Options available: Absence, Negative, Strong, Moderate, Positive, Weak.
- Since the correlation coefficient is , this indicates a weak negative relationship between the sales of the two brands.
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Q7: Are the sales of OnePlus strongly influenced by the dealer location?
- This is a subjective question, and the answer is likely based on the analysis of the data in the table.
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Do you need help with calculations or further explanation of the provided answers? Let me know.
Here are 5 related questions to extend this:
- How is the covariance between two data sets interpreted, and what does a negative covariance signify in this case?
- What is the difference between population and sample standard deviation?
- How do you calculate the correlation coefficient, and what does the value of indicate about the relationship between the sales of the two brands?
- Why is standard deviation important in understanding the spread of sales data?
- Can the dealer's location have a significant effect on both brands, and how could this be tested statistically?
Tip: Covariance indicates the direction of a linear relationship, while correlation measures both the direction and strength of that relationship.
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Math Problem Analysis
Mathematical Concepts
Statistics
Standard Deviation
Covariance
Correlation
Formulas
Population Standard Deviation: σ = sqrt[ Σ(xi - μ)² / N ]
Sample Standard Deviation: s = sqrt[ Σ(xi - x̄)² / (n - 1) ]
Covariance: Cov(X, Y) = Σ[(xi - x̄)(yi - ȳ)] / (n - 1)
Correlation Coefficient: r = Cov(X, Y) / (σX * σY)
Theorems
Empirical Rule in Statistics
Properties of Covariance and Correlation
Suitable Grade Level
Undergraduate
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