a. Suppose you increase your sample size from 25 to 100, how will that change th

Question

a. Suppose you increase your sample size from 25 to 100, how will that change the SE for slope, assuming all else is equal? It will be
a. be divided by 2
b. be multiplied by 2
c. be divided by 4
d. be multiplied by 4

b. Suppose you know the SE of the slope for n=25. How would you change that to calculate SE+?
a. multiply by 25/23
b. multiply by 23/25
c. multiply by sqrt(23)
d. multiply by sqrt(23/25)
e. multiply by sqrt(25/23)

c. Suppose you know the sample r is 0.5. What info do you need to know to calculate the sample slope?
a. SDy, SDx, and n
b. Only SDy and SDx
c. Only n

d. Suppose you know the sample r is 0.6. What info do you need to know to calculate the SE of the sample slope?

a. SDy, SDx, and n
b. Only SDy and SDx
c. Only n

e. Which of the 4 assumptions is NOT needed to calculate the SE of the sample slope?
a. Linearity
b. Independence of the Errors
c. Equal Variance of the Errors
d. Normality of the Errors

f. For what values of X does the variance of the errors around the regression line make the biggest difference in the sample slope?
a. Near the mean of X
b. Far from the mean of X

Explanation / Answer

1)  a. be divided by 2 because slope is related to inverse of sqrt(n)

2)  d. multiply by sqrt(23/25) as it is related to sqrt(n)

3) Slope = r* SDY/SDx so, b. Only SDy and SDx

4) Only n is required as SE= (1-r^2)/sqrt(n)

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