Assignment

Note:

• Unless otherwise stated, use 𝛼 = 0.05 .
• Manual calculation is acceptable
• Do not erase large quantity of hand work
• T-table is attached for reference

A SLR model fit to \(\mathrm{n}=25\) data points gave \(b_{0}=3.5 ; b_{1}=-2 ; \bar{X}=3 ; s_{X}=2.4 ; s_{Y}=\) 5.1; \(\sum_{i=1}^{n} e_{i}^{2}=230\).

1. Find the residual when the response variable is -6 and the explanatory variable is 6. Is the point above or below the line?
2. Calculate the correlation between X and Y. Interpret this value.
3. Compute root MSE for this model.
4. What is SSR for this model?
5. Construct a 95% confidence interval for the slope. [Hint: find 𝑆𝑆 _𝑋 first]
6. Test the hypothesis 𝐻 _𝑎 ∶ 𝜌≠ 0 .
7. You suspect the slope is less than -1.5, test this claim.
8. Find a 90% interval for the mean response when the explanatory is 5.
9. You are running an experiment and would like to calibrate the explanatory variable, find a calibrated value for the explanatory when the response is -5.
10. If the power for detecting a change in 𝛽 ₁ is 0.07, what can you say about the 𝛼 level?

Price: $9.23

Solution: The downloadable solution consists of 5 pages, 423 words.
Deliverable: Word Document