In a multiple regression based on 30 observations,the following information is provided: 
= 38.6 - 0.1x1and se = 5.4.Also, 
evaluated at x1 = 40 and x2 = 30 is 2.8.
a.Construct a 95% confidence interval for E(y)if x1 equals 40 and x2 equals 30.
b.Construct a 95% prediction interval for y if x1 equals 40 and x2 equals 30.
c.Which interval is narrower? Explain.
Definitions:
Similarity Manipulation
A technique used to alter or influence perceptions of similarity between subjects in psychological or market research studies.
Confederate
An individual who is part of a group with a common cause or goal, often used in the context of experimental research to describe a person who is secretly working with the experimenter.
Egoism
Egoism is a theory or philosophy where the self-interest or self-concern is the foundation of morality, prioritizing one's own benefit in decision-making.
Reciprocity
A social norm of responding to a positive action with another positive action, rewarding kind actions as opposed to indifferent or hostile actions.
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