A data set obtained to study the protective effect of helmets used in a contact

Question

A data set obtained to study the protective effect of helmets used in a contact sport includes the following variables.

Severity was measured 10 separate times for each combination of helmet model and side of impact. The severity of impact was modeled as a function of the two categorical variables, model and side.

1.a. What conclusions do you reach from the F tests for Model 2? Explain.

Model one of 4 helmet models (brands): A, B, C, or D Side: helmet side of impact: Front or Back a continuous measure of severity of impact transmitted through the helmet severity:

Explanation / Answer

for model 2 we have F-test value and the the p-value

for the significance of the F-test we can use p-value method

according to p-value method if p-value is less than the significance level (alpha) then we can reject that test and comment that the coefficient has significant effect in the model

setting significance level=alpha=0.05

according to the table showing all the p-value is less than the 0.05

Hence we can comment that the all regression coefficient of the model 2 has significant effect un the model.

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