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:

Eccrine Gland

Sweat glands that are found all over the body and help in thermoregulation by secreting sweat directly onto the surface of the skin.

Apocrine Gland

A type of gland found in the skin, breast, eyelid, and ear that secretes sweat, fatty compounds, and proteins by exocytosis.

Stratum Basale

The deepest layer of the epidermis, containing cells that continuously divide to form new skin cells.