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papayaprofessorLv10
12 Nov 2022
The table below shows a random sample data from a linear PRF that satisfies the CLRM assumptions. In particular, assume that the population variance of the error term is 16.
![](data:image/png;base64,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)
Calculate
.
⚪ 2.084
⚪ 2.268
⚪ 2.589
⚪ 2.887
The table below shows a random sample data from a linear PRF that satisfies the CLRM assumptions. In particular, assume that the population variance of the error term is 16.
Calculate
.
⚪ 2.084
⚪ 2.268
⚪ 2.589
⚪ 2.887
janincarmelaLv2
15 Nov 2022
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