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For a sample of 100 employees, a personnel direc- tor has collected data on x 5 the number of years an employee has been with the firm and y 5 the number of shares of company stock the employee owns. The data are in file XR02044.
a. Generate a scatter diagram that includes the best-fit linear equation for these data.
b. Does there appear to be any relationship between the variables? If so, is the relationship direct or inverse?
c. Interpret the slope of the equation generated in part (a).
d. Viewing the scatter diagram and equation in part (a), do you think there are any employees who appear to own an unusually high or low amount of stock com- pared to the ownership that the equation would have predicted?
The lifetimes of light bulbs of a particular type are normally distributed with a mean of 370 hours and a standard deviation of 5 hours. What percentage of bulbs has lifetimes that lie within 1 standard deviation of the mean on either side?
a large p-value indicates which of the following?i the data do not support the alternative hypothesisii the null
Using laplace transforms solve the following problems: 1. Find Y(t) if Y'''' + 2Y'' +Y = 3 + cos 2t with Y(0) = Y'(0) = Y''(0) = Y'''(0) please show the partial fraction expansion and how it was obtained..do not need to invert.
Running a study comparing 3 different products on five different experimental visits. The same subjects are used for each visit and the same tests are carried out each time on all 3 products. What is the best way to radomise the presentation of the 3..
you select 3 bottles at random from a large production batch of bottled water. you guess that 80 of the bottles in the
(A) What sums are needed to calculate a correlation coefficient? (B) What are the two ways of testing a correlation coefficient for significance?
According to study done by Nick Wilson of Otago University, the probability a randomly selected individual will not cover his or her mouth when sneezing was 0.267. Suppose you sit on a mall bench and observe 200 people pass by as they sneeze.
If the data were collected for a sample of 50 households rather than 100, develop an 85% confidence interval estimate of the population mean annual amount spent, assuming the population has a normal probability distribution.
What specific PA metrics would you focus on in order to both assure performance goals are being met and how to identify top-performers.
Gestational Age (Gestage, weeks) for sample of 100 low birth weight infants, and output from fitting a simple linear regression model to data, regressing Headcirc (Y) on Gestage (X).
Describe a different example of where the independent variable, while highly correlated to the dependent variable, does not cause the dependent variable to change directly.
Can we conclude from this that most workers there earn between $25 and $35 per hour? Is this the right interpretation for the margin of error?
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