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A large national bank charges local companies fir using their services. A bank official reported the results of a regression analysis designed to predict the bank's charges (y), measured in dollars per month, for services rendered to local companies. One independent variable used to predict services charge to a company is the company's sale revenue (x), measured in $ million. Data for 21 companies who use the bank's services were to fit the model
E(y) = β0+β1x
The results of the simple linear regression are provided below.
A) There is insufficient evidence (at a = .05) to conclude that service charge (y) is positively linearly related to sales revenue (x).
B) For every $1 million increase in sales revenue (x), we expect a service charge (y) to increase $.064.
C) There is sufficient evidence (at a = .05) to conclude that service charge (y) is positively linearly related to sales revenue (x).
D) Sales revenue (x) is a poor predictor of service charge (y).
Based on the equation of the least-squares line, we use software to predict the average number of home runs hit per game per team for the year 2001. We obtain the following.
First explain what the Gini coefficient is and what hypothetical Gini values of 0 and 1 mean. Sort the data by the Gini coefficient in 2000 and look at the list of countries.
It is better to use the median rather than the mean for a distribution when:
If a blue ball is selected you win nothing. Let X be the amount that you win. The expected value of X and let the random variable X be a random number with the uniform density curve given below
If we fit the least-squares line to the 12 data points (one for each month) we obtain the following results from a software package. Notice that temperature is taken as the explanatory variable and crawling age as the response.
Suppose we wish to predict the crawling age of a particular baby when the average outdoor temperature is 25°F six months after birth.
The margin of error for a 95% confidence interval estimate for the proportion of all students with cell phones is
The Minneapolis Tribune ran an article on gender differences in shopping behavior. When 400 women were asked to respond to the question "Where I shop is influenced by which store has a greater variety," 60% answered "Yes.
A game involving a pair of dice pays you 3 with probability 17/36, costs you 2 with probability 14/36, and costs you 4 with probability 5/36. What is your probability of losing money in one play of the game?
They were planted in four different locations, so we will consider the field as a second factor because different soil and moisture types can also have an effect on yield. The interaction plot below was obtained.
What is the city mileage standard deviation for this SUV model?
If a technical breakthrough occurred that raised the profit per unit of X 1 to $3, would this affect the optimal solution?
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