THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
You are interested in exploring the relationship between the income of professors (measured in thousands of dollars)and the number of years they have been employed by the university.You collect the following data from eight professors.
-Test the hypotheses H0 : β1 = 0 vs.H1 : β1 ≠ 0 using the F statistic.
Definitions:
Debris Flow
A rapid flow of water mixed with soil, rocks, and other debris down a slope, often triggered by heavy rain or snowmelt.
Rock Avalanche
A rapid, large-volume descent of rock debris and soil on a mountain slope, often triggered by seismic activity, rainfall, or melting snow.
Debris Avalanche
A rapid flow of rock debris, soil, and other material down a slope, often triggered by heavy rainfall or seismic activity.
Earth Flow
A type of mass wasting event that occurs when water-saturated soil or fine-grained sediment flows downhill, resembling a very slow moving river of soil.
Q14: Calculate the appropriate test statistic and p-value.
Q18: What are the appropriate null and alternative
Q18: Does the data provide enough evidence to
Q20: Determine the coefficient of determination.What does it
Q26: Test H<sub>0</sub> : β<sub>1</sub> = 0 vs.H<sub>1</sub>
Q81: Briefly discuss what is meant by the
Q146: The confidence intervals and the hypothesis tests
Q148: How would you best explain the y-intercept
Q150: What are the null and alternative hypotheses
Q201: Find a 95% confidence intervals for β<sub>3</sub>.