Question

1a) A linear regression has b = 3 and a = 4. What is the predicted Y for X = 7?

a. 14

b. 25

c. 31

d. Cannot be determined

b) Suppose F was 0.40. What would that tell you about the amount of variability within groups (i.e., error) compared to the amount of variability between groups (i.e., effects due to the model)?

c) Generally, what happens to the value of t as n increases?

d) What happens to the critical value of t as n increases?

Answer 1

a) We can't determine the value of y with the given value of x because it is not mentioned that a which one values slope & which one is the value of intercept of the regression line. So, option d is correct.

b) We know that the F Statistic is defined as the ratio of variation between the group to the variation within the group. F=0.40 means that amount of variability within the groups is higher than the variability between the groups.

c) so, the value of t increases as n increases.

d) The curve of t-distribution is leptokurtic. The critical value of t decreases as the value of n increases for the fixed level of significance.