Math Problem Statement

The phone brands OnePlus, Vivo, and Oppo are owned by BBK Electronics. Table 4.1.G represents the sales data (in Lakhs) for OnePlus and BBK Electronics in Chennai and Punjab for the year 2010. The task involves solving statistics-based questions about the relationship between sales of OnePlus and BBK Electronics.

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

  1. 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.
  2. Questions and Partial Answers:

    • Q2: Population standard deviation of OnePlus sales:

      • Given: 1.491.49 (answer is already filled in).
    • Q3: Sample standard deviation of BBK Electronics sales:

      • Given: 3.363.36 (answer is already filled in).
    • Q4: Sample covariance between sales of OnePlus and BBK Electronics:

      • Given: 0.95-0.95 (answer is already filled in).
    • Q5: Correlation coefficient between sales of OnePlus and BBK Electronics:

      • Given: 0.19-0.19 (answer is already filled in).
    • Q6: Linear relationship between the sales of OnePlus and BBK Electronics:

      • Options available: Absence, Negative, Strong, Moderate, Positive, Weak.
      • Since the correlation coefficient is 0.19-0.19, this indicates a weak negative relationship between the sales of the two brands.
    • 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.

Do you need help with calculations or further explanation of the provided answers? Let me know.

Here are 5 related questions to extend this:

  1. How is the covariance between two data sets interpreted, and what does a negative covariance signify in this case?
  2. What is the difference between population and sample standard deviation?
  3. How do you calculate the correlation coefficient, and what does the value of 0.19-0.19 indicate about the relationship between the sales of the two brands?
  4. Why is standard deviation important in understanding the spread of sales data?
  5. 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