1. A psychological researcher is interested in investigating the relationship between the level of happiness and perceived...
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Question:
1. A psychological researcher is interested in investigating the relationship between the level of happiness and perceived popularity on social media among statistics students enrolled at SACAP. Data were collected from participants that were randomly selected.
Level of happiness | Perceived popularity |
3 | 4 |
6 | 7 |
5 | 5 |
2 | 3 |
9 | 7 |
5 | 7 |
1 | 6 |
8 | 9 |
4 | 4 |
a. Calculate the correlation coefficient and investigate if the relationship between
the two variables is significant in the population. You are required to use a two- tailed test with an alpha level of 0.05. Show all your calculations and hypothesis
testing steps. (16 marks)
b. Interpret the correlation coefficient in terms of; direction, magnitude/size and coefficient of determination. (4 marks)
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