Question

U Question 7 2 pts In a recent twin studies from researchers at King's College London, the researchers wanted to test whether stronger thigh muscular power is an indicator of sharper minds. To test this, they recruited 162 female twins. For this analysis, the linear regression is preferred than the one-way ANOVA O True False Question 8 2 pts Lease Significant Difference (LSD) method post hoc analysis of one-way ANOVA is same as independent two group t-test. True False Panther Mail Public class See View My Classes ADplication Status

Answer 1

Q7: True.

(Here Independent variable x=thigh muscular power, Dependent variable=test score related to test sharpness of mind and since we want to test stronger thigh muscular power is an indicator of sharper minds, we take observation (x,y) from same individual and do regression analysis).

Q8: False.

(In LSD we use MSE (=mean sum of squares due to error as a estimator of $\sigma^2$ ) and in 2 sample t test we use pooled sample variance as a estimator of $\sigma^2$ . However when there are only independent populations then MSE and pooled sample variance are same. Moreover to control type I error rate we use Bonferroni correction in LSD but it is not required for 2 sample t test).

Q9: False (R²=0 means two variables are not linearly related but they may be related).

Q10: False (a=0 and e=0 implies y=bx i.e. y and x are perfectly linearly related and hence R²=1)