Expert answer:Statistics Quiz
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1. If X and Y are perfectly and positive correlated, the correlation should be___
a. 0.0
b. 1.0
c. -1.0
d. -0.88
Question 2
1. For the a set of values of x and y, if Pearson’s Correlation r is equal to 0.79, it means__
a. x and y have no relationship
b. x and y are perfectly correlated
c. x and y are negatively and strongly correlated
d. x and y are positively and strongly correlated
Question 3
1. Some researchers believe there is an association between milk intake and serum Vitamin D
levels. Imagine we collect information on the amount of milk consumed yesterday and serum
Vitamin D levels of 300 elementary students in Boston, MA. We hypothesize that the
elementary students who consumed more milk could have higher serum Vitamin D levels.
Which kind of graph can the best portray this relationship:
a. Scatter Plot
b.
histogram of the serum Vitamin D levels
c. Stem and leaf graph
d.
0.4 points
Question 4
Frequency distribution graph of the amount of milk consumed
1. A researcher believes that drinking soda can increase people’s blood sugar level. He asked five
students to report the amount of soda drinks consumed yesterday and measured their blood
sugar level, as following:
No. of
Soda
drinks:
0
3
1
4
2
Blood
Sugar
(mg/dl):
70.0
105.2
89.6
100.5
67.5
2. What is the Pearson’s correlation r value between no. of Soda drinking and Blood Sugar
level ___
0.4 points
Question 5
1. For the a set of values of x and y, if Pearson’s Correlation r is equal to -1.00, it means__
a. x and y are not positively correlated
b. x and y are positively and perfectly correlated
c. x and y are negatively and perfectly correlated
d. x and y are not correlated
0.4 points
Question 6
1.
(same table as question 4)
Which of the following are the possible values of Pearson’s correlations? Choose all that apply
a. -0.99
b. 0.0
c. 1.01
d. 1.0
e. -12.3
0.4 points
Question 7
1. A research study found that for a group of graduate students, the
correlation between take-home exam grades and in-class exam graded was
0.50. The variance of take-home exam grades was 9 and the variance of
in-class exam grades was 49. Thus, the variance of the sum between preexam and post-exam grades is ___
0.4 points
Question 8
1. The variance of X is 4 and the variance of y is 100. X and Y are
independent. Thus, the sum of the variances between X and Y is___
Question 9
1. Imagine that a researcher found the more students exercised, and the more energy they need.
Thus, the correlation between exercise and energy requirement is__
a. Negative
b. Positive
c. Not correlated
d. There is not enough information to determine whether a correlation exists and if
so what its direction may be
…
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