How much of the variance in charitable donations can be explained by empathy? A) 40.1% B) 80.1% C) 64.2% D) 89.5%
A researcher wants to investigate whether self-reported empathy is related to charitable donations. He recruits a sample of ten participants and asks them to report their empathy on a scale of 1 to 10, as well as how much money they have donated to charity in the past year.
The raw scores are presented below:
| Participant | Empathy | Donations |
| 1 | 6 | 30 |
| 2 | 7 | 40 |
| 3 | 10 | 10 |
| 4 | 3 | 30 |
| 5 | 5 | 30 |
| 6 | 4 | 50 |
| 7 | 8 | 0 |
| 8 | 2 | 80 |
| 9 | 6 | 20 |
| 10 | 9 | 10 |
What is the sum of products?
A) -430
B) 60
C) 4800
D) 55300
What is the
A) -47.778
B) -0.801
C) 6.667
D) 6144.444
What is the obtained t-value for the
A) -0.801
B) -1.258
C) -3.788
D) -10.716
What is the critical t-value?
A) 2.306
B) 2.262
C) 2.101
D) 2.093
What is your conclusion?
A) There is no significant correlation between empathy and charitable donations.
B) There is a significant
C) There is a significant
D) There is a significant correlation between empathy and charitable donations, but there is not enough information to identify the direction of correlation.
How much of the variance in charitable donations can be explained by empathy?
A) 40.1%
B) 80.1%
C) 64.2%
D) 89.5%
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