Practical 9 Task 4 (with answer explanations)
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12th Grade
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12 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 5 pts
Identify the variables used in this analysis.
Explanatory variable: Age
Response variable: Number of breakdowns
Explanatory variable: Number of breakdowns
Response variable: Age
2.
MULTIPLE CHOICE QUESTION
3 mins • 5 pts
Using Minitab, what is the equation of the least-squares regression line?
Answer explanation
3.
FILL IN THE BLANK QUESTION
3 mins • 5 pts
Conduct a test with the hypotheses H0: β = 0 vs H1: β ≠ 0 to see if there is a statistically significant relationship between age and number of breakdowns. Assume α = 0.05.
What is the P-value?
Answer explanation
4.
MULTIPLE CHOICE QUESTION
3 mins • 5 pts
Conduct a test with the hypotheses H0: β = 0 vs H1: β ≠ 0 to see if there is a statistically significant relationship between age and number of breakdowns. Assume α = 0.05.
Interpret the P-value obtained.
As P-value ≈ 0 < α = 0.05, H0 is rejected. β is significantly different from 0. There is a significant linear relationship between age and number of breakdowns.
As P-value = 0.106 > α = 0.05, H0 is not rejected. β is not significantly different from 0. There is no significant linear relationship between age and number of breakdowns.
As P-value = 0.028 < α = 0.05, H0 is rejected. β is significantly different from 0. There is a significant linear relationship between age and number of breakdowns.
As P-value ≈ 0 < α = 0.05, H0 is rejected. ρ is significantly different from 0. There is a significant linear relationship between age and number of breakdowns.
5.
FILL IN THE BLANK QUESTION
2 mins • 5 pts
What is the slope of the regression line? Give your answer correct to 3 d.p.
Answer explanation
6.
MULTIPLE CHOICE QUESTION
3 mins • 5 pts
Interpret the slope of the regression line.
For every 1 year increase in age, predicted number of breakdowns increases by 0.989 on average.
For every 1 year increase in age, predicted number of breakdowns decreases by 0.989 on average.
For every 0.989 year increase in age, predicted number of breakdowns increases by 1 on average.
For every 0.989 year increase in age, predicted number of breakdowns decreases by 1 on average.
7.
FILL IN THE BLANK QUESTION
3 mins • 5 pts
Predict the number of breakdowns for a machine of age 5 years. Give your answer correct to 2 d.p.
Answer explanation
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