In: Statistics and Probability
If Data A has a correlation coefficient of r = -0.991, and Data B has a correlation coefficient of r = 0.991, which correlation is correct?
Select one:
a. Data A and Data B have the same strength in linear correlation.
b. Data A has a weaker linear correlation than Data B.
c. Data A has a stronger linear correlation than Data B.
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Question 12
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The relationship between two quantities x and y is examined, and
the association is shown in the scatterplot below.
Could a regression line be reasonably used to describe this
data?.
Select one:
a. Yes
b. No
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Question 13
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Given the supply of a commodity, x, and the price of a commodity, y, would you expect a positive correlation, a negative correlation, or no correlation?
Select one:
a. negative correlation
b. no correlation
c. positive correlation
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Question 14
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True or false? When performing regression analysis, different samples will all yield the same sample regression line.
Select one:
a. True
b. False
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Question 15
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A real estate builder wishes to determine how house size (House) is influenced by family income (Income), family size (Size), and education of the head of household (School). House size is measured in hundreds of square feet, income is measured in thousands of dollars, and education is in years. The builder randomly selected 50 families and ran the multiple regression. Microsoft Excel output is provided below:
TABLE 14-4
Referring to Table 14-4, which of the independent variables in the
model are significant at the 2% level?
Select one:
a. Income, Size, School
b. Income, School
c. Income, Size
d. Size, School
1) If Data A has a correlation coefficient of r = -0.991, and Data B has a correlation coefficient of r = 0.991, which correlation is correct?
Ans: Data A and Data B have the same strength in linear correlation.
As the correlation is same in absolute value. The negative sign only means that one quantity increases while the other decreases. It doesnot imply weaker or stronger correlation.
2) Could a regression line be reasonably used to describe this data?.
Ans: Yes
As using regression line one can determine the association between the two variables or effect of the independent variable on dependent variable.
3) Given the supply of a commodity, x, and the price of a commodity, y, would you expect a positive correlation, a negative correlation, or no correlation?
Ans: negative correlation
As supply increases the price falls and vice versa.
4) True or false? When performing regression analysis, different samples will all yield the same sample regression line.
Ans: False
The estimated lines will not be exactly same. They will more or less differ. Sometimes even significantly.
For the last question Table 14-4 is not provided.