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Practical 9 Task 4 (with answer explanations)

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12th Grade

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Practical 9 Task 4 (with answer explanations)
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12 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

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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?

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Answer explanation

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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

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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

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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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