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Statistics
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Statistics Principles
Exam 3: Descriptive Study of Bivariate Data
Path 4
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Question 21
Essay
For one coastal state, there is a high correlation between ice cream sales and number of people swimming in the ocean. Suggest a possible lurking variable and explain what is meant by the term lurking variable.
Question 22
Multiple Choice
A value of r really close to -1 means that the linear association ______.
Question 23
Essay
Consider the data set
Calculate the (a) sample means (b) S
xx
, S
xy
, S
yy
(c) sample correlation coefficient.
Question 24
Essay
Consider the data set
Calculate the (a) sample means (b)S
xx
, S
xy
, S
yy
(c) sample correlation coefficient.
Question 25
Short Answer
If all (x, y) values lie exactly on a straight line with a ______ slope, then r = +1.
Question 26
Short Answer
A scientist in a center for disease control observes that the number of bacteria in a culture and air pollution in the city rise with time. Is there exists a lurking variable in this case?
Question 27
Short Answer
Consider the data set
Find the sample correlation coefficient using the formula
.
Question 28
Essay
Consider the data set
A) Complete the table.
Use the formula
to calculate the sample correlation. Round your answer to three decimal places.
Question 29
Short Answer
Calculations from a data set of n = 36 pairs of (x, y) values have provided the following results.
Obtain the correlation coefficient.
Question 30
Short Answer
For the data set, compute the least squares estimates.
A)
B)
Question 31
Short Answer
A line is determined by two constants. One of these constants is the ______, that is, the amount that y increases whenever x is increased by one unit.
Question 32
True/False
The sign of the correlation coefficient r, indicates the weakness of a linear relation.
Question 33
Short Answer
Consider the line
A) What is its intercept? B) What is its slope?
Question 34
Short Answer
A line is determined by two constants. One of these constants is the ______, that is, its height above the origin.
Question 35
Essay
In a group of 180 college students, 43 are science majors, 66 are freshmen, and 31 are both. Based on these data, complete the following two-way frequency table.
Question 36
Multiple Choice
Suppose from a data set of distance measurements in yards and time measurements in hours, the value of r is found to be 0.82. What would the value of r be if the distances were measured in feet and time in minutes.