Part 1.
As a high school biology teacher, you are interested in better understanding what factors impact your students’ exam grades. To explore this topic, you asked students to report their interest in biology as a measure of intrinsic motivation (rated 1-10). To see if there is any evidence to support your hypothesis that intrinsically motivated students achieve higher exam scores, you correlate interest with exam scores. What is the correlation between biology interest and exam scores?
Case |
Biology Interest (X) |
Exam Score (Y) |
1 |
10 |
87 |
2 |
1 |
74 |
3 |
7 |
73 |
4 |
4 |
67 |
5 |
4 |
69 |
6 |
1 |
97 |
7 |
8 |
83 |
8 |
3 |
81 |
9 |
2 |
81 |
10 |
1 |
63 |
Use this table to help you calculate the correlation coefficient.
Case |
X |
Y |
XY |
X2 |
Y2 |
1 |
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2 |
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3 |
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4 |
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5 |
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6 |
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7 |
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8 |
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9 |
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10 |
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∑ |
1. SPxy:
2. SSx:
3. SSy:
4. r:
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