STAT JMP Questions

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1. State the null and alternative hypotheses for testing the significance of the slope (and thus also the regression).

A: LaTeX: H_0colonbeta_0=0  \
H_acolonbeta_0ne 0
B: LaTeX: H_0colonbeta_1=0  \
H_acolonbeta_1ne 0

C: LaTeX: H_0colonmu_1=0  \<p data-verified= D: LaTeX: H_0colon p_1=0  \<p data-verified=

2. Fill in the blanks with the appropriate point estimate for β1 and β0, respectively, to obtain the fitted regression line (round to THREE decimal places).

Mercury-hat = ____ + ____Length

Intercept:________

Slope:________

3. What is the predicted mercury concentration in a fish that measures 45 cm in length (round to THREE decimal places)?

Mercury-hat = ____ ppm

4. Interpret the meaning of the R^2 value in the context of this problem.

A. For every unit increase in length, we expect mercury concentration to go up by 0.396 units.

B. 39.6% of the variation in mercury concentration can be explained by length.

C. 39.6% of the variation in length can be explained by mercury concentration.

D. When length is zero, we expect mercury concentration to be 0.396 ppm

E. 65.0% of the variation in length can be explained by mercury concentration.

F. 65% of the variation in mercury concentration can be explained by length.

5. What is the p-value for your hypotheses (round to FOUR decimal places)?

p-value < ____

6. Do you Reject or Fail to Reject LaTeX: H_0

7. What do you conclude from the hypothesis test?

10. Interpret the meaning of the slope in the context of this problem.

A. For every unit increase in mercury concentration, we expect weight to increase by 0.0005 ppm.

B. For every unit increase in weight, the mercury concentration will increase by 0.0005 ppm.

C. For every unit increase in weight, we expect the mercury concentration to increase by 0.6387 ppm.

D. For every unit increase in weight, we expect the mercury concentration to increase by 0.0005 ppm.

11. Interpret the meaning of the intercept in the context of this problem.

A. For every unit increase in mercury concentration, we expect the weight to increase by 0.6387 ppm.

B. When weight is one, we expect mercury concentration to be 0.6387 ppm

C. When weight is at zero, we expect mercury concentration to be 0.5843 ppm.

D. When mercury concentration is at zero, we expect weight to be 0.5843 ppm.

E. For every unit increase in weight, we expect the mercury concentration to increase by 0.5843 ppm.

When weight is at zero, we expect mercury concentration to be 0.6387 ppm.

12. What is the predicted mercury concentration for a fish that weighs 1700 grams (round to THREE decimal places)?

Mercury-hat = ____ ppm

13. What is the R^2 value for testing the regression (round to FOUR decimal places)?

14. What is the R2 value for testing the regression (round to FOUR decimal places)?

15. How does the plot of residuals look?

A. The residuals look normal

B. The residuals look linear

C. The residuals fan out

D. The residuals make an elliptical shape

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