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To find whether the correlation is low, moderate or high
University Crime: FBI Report Do larger universities tend to have more property crime? University crime statistics are affected by a variety of factors. The surrounding community, accessibility given to outside visitors, and many other factors influence crime rate. Let x be a variable that represents student enrollment (in thousands) on a university campus. Let y be a variable that represents the number of burglaries in a year on a university campus. A random sample of n = 8 universities in California gave the following information about enrollments and annual burglary incidents. (References: Crime in the United States, Federal Bureau of Investigation.)
x
12.5
30.0
24.5
14.3
7.5
27.7
16.2
20.01
y
26
73
39
23
15
30
25
(a.) Make a scatter diagram and draw the line you think best fits the data. (b.) Would you say the correlation is low, moderate, or high? Positive or negative? (c.) Using a calculator, verify that Σx = 152,8 Σx² = 3350.98, Σy = 246, Σy² = 10,030, and Σxy = 5488.4. Compute r. As x increases, does the value of r imply that y should tend to increase or decrease? Explain.
Use frequency distribution to create a probability distribution, determine the (b) mean,(c) variance.
The variable recorded for each subject was the number of additional yards (possibly negative) that the subject could drive the ball by the end of the season. In the two-way ANOVA the DFM
Suppose the random variable x is best described by a normal distribution with µ = 24 and σ = 2.7. Find the z-score that corresponds to each of the following x values.
Compute the 95% confidence interval around the mean of each of the three groups and plot the confidence interval in the space provided above.
Which of the following is true about the expected value of perfect information. It is the amount you would pay for any sample study.
Estimate the population mean
A survey of the residents of a new subdivision on why they happened to select that area in which to live. You also wish to secure some information about what they like and do not like about life in the subdivision.
Construct a 90 percent confidence interval for the proportion of all kernels that would not pop. Check the normality assumption.
For all questions, clearly explain/show your answers. For the Analysis section, justify your answers with the appropriate graphs, statistics, equations, etc.
In a survey conducted to see how long Americans keep their cars, 2000 automobile owners were asked how long they plan to keep their present cars. The results of the survey follow. Find out the probability distribution associated with these data.
Find a 95 percent confidence interval for the population mean concentration of uric acid in this patients blood. The concentration of uric acid in this patient's blood.
How variable is the number of service calls with which Sam's department must deal?
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