Patterns and Modeling

Respond to each of the following questions in a minimum of 175 words.
Models help us describe and summarize relationships between variables. Understanding how process variables relate to each other helps businesses predict
and improve performance. For example, a marketing manager might be interested in modeling the relationship between advertisement expenditures and
sales revenues.
Use the Week 5 Discussion Data (in Resources below) and respond to the questions that follow:
A. Construct a scatter plot with this data. (Refer to Example 3 Scatter Linear Regression Analysis).
B. Do you observe a relationship between both variables? (Refer to LO 12-2).
C. Use Excel to fit a linear trend line to the data. What is the fitted regression model? (Refer to LO 12-3).
D. What is the slope? What does the slope tell us? Is the slope significant? (Refer to LO 12-2).
E. What is the intercept? Is it meaningful?
F. What is the value of the regression coefficient, r? What is the value of the coefficient of determination, R2? What does R2 tell us? (Refer to LO 12-4).
G. Use the model to predict sales when the business spends $885 ($’000) in the advertisement. Does the model underestimate or overestimates sales?

 

Sample Solution

ee will”. Leaving aside Locke’s own discourse on the state of nature, we try to make a new argument for “restricting free will” from our point of view. Locke believes that it is possible for people to restrict their own free will on the premise that family is the typical representative in an environment of undegraded benevolence. “In the early days of the establishment of the government, the number of the state was not much different from that of the family, nor was the number of laws much different from that of the family; since the rulers cared for them for their happiness like their fathers, the rule of the government was almost entirely privileged.” Locke introduced “privilege” here and linked privilege with benevolence. “Privilege is a kind of power to act for the benefit of the public according to discretion without legal provisions, sometimes even in violation of the law.” (The Treatise of Government (Part Two): P102) Kant believes that this kind of rule is absolute. “If a government is based on the principle of benevolence to the people as a father does to his children, that is to say, a father’s government, the subjects here are forced to adopt a passive attitude just as they can’t tell what is really good or bad for their children, so that they can only expect the head of state’s happiness. Judgment, and if the head of state is willing to do so, only his goodwill is expected; such a government is the greatest authoritarianism imaginable.” (Volume 8 of Kant’s Complete Works: Papers after 1781: P294) We do not quote Kant’s statement that Kant supports Locke, but that Kant also opposes Hobbes. Locke believes that human happiness can only be measured by external public welfare. Kant denies this, which is the fundamental difference between them. But the source of Kant’s refutation of Hobbes may be related to Locke. In short, when the benevolent family finally degenerates, it is necessary to restrict power, because the father-like leader is no longer the father, he has no inherent motive for benevolence to benefit the public, on the contrary, he may infringe on public welfare. Benevolence is the internal means of restricting power. Since this internal means has failed, it is necessary to restrict power through external means. Legislative power and law enforcement power should be separated. Locke himself logically disintegrated patriarchy by refuting the Theocracy of monarchy, which not only made the disintegration of patriarchy a historical process, but also a logical argument. So far, politics is only related to one kind of morality, that is, secular morality and public welfare, which is also the focus of Locke’s argument. But when he retains God, he also retains the morality of faith. Although God no longer exercises the power to punish those who violate secular morality, he still exercises the power to punish those who violate beliefs. It can be seen as Locke defending the church, or as Locke’s unwillingness to drive God out of People’s lives so easily.

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