Question

(a) What is the difference between σ and σ_b?

A.) The quantity σ_b is an estimate, from a particular set of (x, y) observations, of σ.

B.) σ is the shared standard deviation of all y distributions that are normal with mean α + βx, for fixed values of x. The quantity σ_b is the standard deviation of the set of all possible values of b, obtained from sets of (x, y) observations for a given set of x values.

C.) σ_b is the shared standard deviation of all y distributions that are normal with mean α + βx, for fixed values of x. The quantity σ is the standard deviation of the set of all possible values of b, obtained from sets of (x, y) observations for a given set of x values.

D.) The quantity σ is an estimate, from a particular set of (x, y) observations, of σ_b.

(b) What is the difference between σ_b and s_b?

A.) The quantity σ_b is an estimate, from a particular set of (x, y) observations, of s_b.

B.) s_b is the shared standard deviation of all y distributions that are normal with mean α + βx, for fixed values of x. The quantity σ_b is the standard deviation of the set of all possible values of b, obtained from sets of (x, y) observations for a given set of x values.    

C.) The quantity s_b is an estimate, from a particular set of (x, y) observations, of σ_b.

D.) σ_b is the shared standard deviation of all y distributions that are normal with mean α + βx, for fixed values of x. The quantity s_b is the standard deviation of the set of all possible values of b, obtained from sets of (x, y) observations for a given set of x values.

Answer 1

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