For each of the following, indicate whether you would expect a positive or a negative correlation. a. Height and weight for a group of adults b. Daily high temperature and daily energy consumption for 30 days in the March. c. Daily high temperature and daily energy consumption for 30 days in the December. The data points would be clustered more closely around a straight line for a correlation of – 0.80 than for correlation of +0.05. (True or False?) If the data points are tightly clustered around a line that slopes down from left to right, then a good estimate

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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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Psychological Statistics
Linear Correlation
Page 11 of 15
V. ANALYSIS, APPLICATION AND EXPLORATION
Name:
Day & Time:
Program & Section:
Professor:
Perform the following tasks. (You may use extra sheets of paper for your solutions)
1. For each of the following, indicate whether you would expect a positive or a negative correlation.
a. Height and weight for a group of adults
b. Daily high temperature and daily energy consumption for 30 days in the March.
c. Daily high temperature and daily energy consumption for 30 days in the December.
2. The data points would be clustered more closely around a straight line for a correlation of – 0.80 than for
a correlation of +0.05. (True or False?)
3. If the data points are tightly clustered around a line that slopes down from left to right, then a good estimate
of the correlation would be +0.90. (True or False?)
4. As sample size gets smaller, what happens to the magnitude of the correlation necessary for significance?
Explain why this occurs.
5. Describe what is measured by Spearman correlation, and explain how this correlation is different from the
Pearson correlation.
6. Identify the two procedures that can be used to compute the Spearman correlation.
7. A correlation can never be greater than +1.00 (True or False?)
8. Describe what is measured by Pearson Correlation.
9. Compute the Spearman correlation for the following set of scores,
y
2
7
12
38
9
6
10
19
Salary
More Than Php40,000
2
Salary
Less Than Php40,000
7
10. The following data represent job-related stress scores
for a sample of n=8 individuals. These people also are
classified by salary level.
a. Convert the data into a form suitable for the point-
12
38
9
6
10
19
biserial correlation
b. compute the point-biserial correlation for these data.
Person
Y
A
4
11. For the following data:
a. calculate the the Pearson r
B
1
10
b. sketch a scatter plot
D.
6
E
4
6
c. Compute the value for SP or sum of products
Transcribed Image Text:Psychological Statistics Linear Correlation Page 11 of 15 V. ANALYSIS, APPLICATION AND EXPLORATION Name: Day & Time: Program & Section: Professor: Perform the following tasks. (You may use extra sheets of paper for your solutions) 1. For each of the following, indicate whether you would expect a positive or a negative correlation. a. Height and weight for a group of adults b. Daily high temperature and daily energy consumption for 30 days in the March. c. Daily high temperature and daily energy consumption for 30 days in the December. 2. The data points would be clustered more closely around a straight line for a correlation of – 0.80 than for a correlation of +0.05. (True or False?) 3. If the data points are tightly clustered around a line that slopes down from left to right, then a good estimate of the correlation would be +0.90. (True or False?) 4. As sample size gets smaller, what happens to the magnitude of the correlation necessary for significance? Explain why this occurs. 5. Describe what is measured by Spearman correlation, and explain how this correlation is different from the Pearson correlation. 6. Identify the two procedures that can be used to compute the Spearman correlation. 7. A correlation can never be greater than +1.00 (True or False?) 8. Describe what is measured by Pearson Correlation. 9. Compute the Spearman correlation for the following set of scores, y 2 7 12 38 9 6 10 19 Salary More Than Php40,000 2 Salary Less Than Php40,000 7 10. The following data represent job-related stress scores for a sample of n=8 individuals. These people also are classified by salary level. a. Convert the data into a form suitable for the point- 12 38 9 6 10 19 biserial correlation b. compute the point-biserial correlation for these data. Person Y A 4 11. For the following data: a. calculate the the Pearson r B 1 10 b. sketch a scatter plot D. 6 E 4 6 c. Compute the value for SP or sum of products
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