# Question

Consider the formulas for calculating a prediction interval for a new (specific) value of y. For each of the changes mentioned in parts a through c below, state the effect on the width of the confidence interval (increase, decrease, or no change) and why it happens. Note that besides the change mentioned in each part, everything else such as the values of a, b, , Se, and SSxx remains unchanged.

a. The confidence level is increased.

b. The sample size is increased.

c. The value xo of is moved farther away from the value of

d. What will the value of the margin of error be if equals

a. The confidence level is increased.

b. The sample size is increased.

c. The value xo of is moved farther away from the value of

d. What will the value of the margin of error be if equals

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