In a Multiple Regression Based on 30 Observations,the Following Information

question 30

Essay

In a multiple regression based on 30 observations,the following information is provided: = 469 - 2x₁ + 6x₂- 0.5x₃ and s_e = 16.Also,when x₁ = 30,x₂ = 10,and x₃ = 65 = 37.
a.Construct a 90% confidence interval for E(y)if x₁ = 30,x₂ = 10,and x₃ = 65.
b.Construct a 90% prediction interval for y if x₁ = 30,x₂ = 10,and x₃ = 65.
c.Which interval is narrower? Explain.

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Definitions:

Psychogenic Needs

Emotional and psychological needs that motivate individuals to perform actions or pursue goals for personal satisfaction.

A Priori Needs

Needs or requirements that are understood or established prior to a project or assessment, based on theoretical deduction rather than empirical evidence.

Actualization Needs

The highest level in Maslow's hierarchy of needs, focusing on realizing personal potential, self-fulfillment, and seeking personal growth.

Drive Theory

A psychological theory that suggests motivation is driven by an individual's desire to fulfill basic physiological needs and reduce internal tensions.