A Western student named Rocky Monster has gained a number of research skills during his years toiling in the sociology department. Rocky is interested in studying the relationship between the consumption of energy drinks and involvement in social networking sites. He specifically hypothesizes that the consumption of energy drinks has an influence on the number of Instagram posts students make each week. He gathers data based on a survey of a random sample of Western students. His data measure the number of energy drinks students consume per day and the number of Instagram posts students make per week. Rocky’s dataset is listed below.
# of energy drinks consumed per day |
# of weekly Instagram posts |
||||
3 |
22 |
||||
1 |
10 |
||||
0 |
0 |
||||
9 |
72 |
||||
3 |
88 |
||||
0 |
18 |
||||
5 |
54 |
||||
1 |
30 |
||||
4 |
45 |
||||
4 |
21 |
||||
A). What is the sum of the products?
The answer is not 1552 or 7226
B). What is the correlation (r)? (It will work best to carry to 3 decimal places for your final answer.)
The answer is not 4.311
C). If you were performing a test of the hypothesis that energy drink consumption was related to Instagram post frequency with a 95% confidence level and you were using the critical r table, what would the critical value of r be?
D). If you were performing a test of the hypothesis that energy drink consumption was related to Instagram post frequency with a 99% confidence level and you were using the critical r table, what would the critical value of r be?
The answer is not 0.765
The critical values of r are found from the r table using degrees of freedom = 8, and the specified confidence level.
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