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A company runs a regression analysis to determine sales based on advertising expenditures, which can be shown in a linear equation as y = 2x + 25,000. The company plans to spend $20,000 on advertising.
Which sales figure should the company expect to generate based on the given equation?
A. $50,000
B. $40,000
C. $65,000
D. $75,000
Answer: C
Explanation:
In linear regression, the equation y = mx + b is used to predict the value of the dependent variable based on the independent variable. In data-driven decision making, this equation represents the estimated relationship between advertising expenditure and sales revenue.
Here,xrepresents advertising spending,mis the slope (2), andbis the intercept ($25,000). Substituting the planned advertising expenditure of $20,000 into the equation gives:
y = 2(20,000) + 25,000
y = 40,000 + 25,000
y = 65,000
This result represents the expected sales revenue based on the regression model. The intercept indicates baseline sales when advertising spend is zero, while the slope shows the increase in sales for each additional dollar spent on advertising.
Therefore, the company should expect to generate$65,000in sales, making optionCthe correct answer.
NEW QUESTION # 15
What is a basic assumption of a z-score?
A. Outlier data points are critical to a z-score calculation.
B. The mean is equal to zero with a standard deviation of 2.
C. The mean is equal to zero with a standard deviation of 1.
D. Outlier data points must be eliminated from a z-score calculation.
Answer: C
Explanation:
Az-scorestandardizes a value by expressing how many standard deviations it lies from the mean. A fundamental assumption of z-score analysis in data-driven decision making is that the data can be transformed to astandard normal distributionwith amean of zero and a standard deviation of one.
This transformation allows analysts to compare values from different distributions on a common scale and to calculate probabilities using the standard normal table. The formula for a z-score subtracts the mean from the observed value and divides by the standard deviation, resulting in this standardized distribution.
Outliers are not eliminated by default in z-score calculations; instead, z-scores are often used to identify outliers. A standard deviation of 2 is incorrect and would not represent a standardized distribution.
Therefore, the correct answer isA, reflecting the core assumption underlying z-score usage.
NEW QUESTION # 16
Which element of an experimental study is described as the procedures applied to each subject?
A. Responses
B. Treatments
C. Experimental units
D. Inputs
Answer: B
Explanation:
In an experimental study,treatmentsare defined as the specific procedures or conditions applied to each subject or experimental unit. This is a fundamental concept in experimental design within data-driven decision making and inferential statistics.
Experimental units are the subjects or entities being studied, such as individuals, machines, or products.
Responses are the measured outcomes observed after the treatment is applied. Inputs are factors or variables that may influence the experiment but are not the procedures themselves. Treatments, however, represent the deliberate interventions introduced by the researcher to study their effect on the response variable.
For example, in a pricing experiment, different price levels applied to customers would be considered treatments. In a manufacturing experiment, different machine settings would serve as treatments. By systematically varying treatments, analysts can determine causal relationships between variables.
Data-driven decision making relies on well-designed experiments to support valid conclusions. Clearly defining treatments ensures that the effects of specific actions can be isolated, measured, and analyzed accurately. Therefore, the correct answer isC, as treatments describe the procedures applied to each subject.
NEW QUESTION # 17
A boutique specializing in gifts reviews its sales data over the last year. It observes a slow decline in revenue in the first quarter, a growth in revenue in the second quarter, a slight decline in revenue in the third quarter, and a rapid increase in revenue in the fourth quarter.
Which data pattern type can the sales data be assessed against?
A. Cyclicality
B. Random variation
C. Seasonality
D. Irregularity
Answer: C
Explanation:
Seasonalityrefers to predictable patterns in data that repeat at regular intervals, such as quarters or months, due to seasonal factors. In data-driven decision making, identifying seasonal patterns helps organizations forecast demand and plan operations.
The boutique's revenue shows distinct quarterly patterns: declines and increases that align with different times of the year. The sharp increase in the fourth quarter is especially indicative of seasonal effects, such as holiday shopping.
Random variation and irregularity describe unpredictable fluctuations, while cyclicality refers to long-term economic cycles rather than recurring annual patterns. Therefore, the correct answer isC, seasonality.
NEW QUESTION # 18
How should a marketing consulting firm perform a cluster analysis for a new granola bar?
A. Determine the reasons for consumer granola bar purchases
B. Determine whether there are any granola bar sales trends
C. Determine the different segments or groups to target
D. Determine competitor benchmarks and forecasts for comparison
Answer: C
NEW QUESTION # 19
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