Health insurance companies are generally faced with the problem of how much premium to charge the customers. Generally, the premium charged by the company (P. measured in hundred dollars) is decided on the basis of the age of the person (A) and the duration for which the insurance is taken (D). A health insurance company collects data on 350 randomly selected customers. The estimated regression function is: P=380.36 +0.84 A+2.78 D +0.64 AxD, R² = 0.546. (1.12) (1.08) (1.14) (1.94) The standard errors are given in parentheses. The change in the premium due to an increase in the age of a person by 1 year, holding the duration of insurance constant at 3 years, will be $ The change in the premium due to an increase duration of the insurance by 1 year, holding the age of the person constant at 50 years, will be $ (Express your answers in dollars.) Suppose the age of a person is 50 years and the duration for which he purchases the insurance is 3 years. If both the age of the person and the duration of insurance increase by 1 year, the change in the premium will be $ (Express your answer in dollars.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Health insurance companies are generally faced with the problem of how much premium to charge the customers. Generally, the premium charged by the company (P, measured in hundred dollars) is decided on the basis of the age of the person (A) and the duration for which the insurance is taken (D). A health insurance
company collects data on 350 randomly selected customers. The estimated regression function is:
P₁ = 380.36+0.84 A +2.78 D +0.64 AxD, R² = 0.546.
(1.12) (1.08) (1.14) (1.94)
The standard errors are given in parentheses.
The change in the premium due to an increase in the age of a person by 1 year, holding the duration of insurance constant at 3 years, will be $
The change in the premium due to an increase in duration of the insurance by 1 year, holding the age of the person constant at 50 years, will be $
(Express your answers in dollars.)
Suppose the age of a person is 50 years and the duration for which he purchases the insurance is 3 years.
If both the age of the person and the duration of insurance increase by 1 year, the change in the premium will be $
(Express your answer in dollars.)
Transcribed Image Text:Health insurance companies are generally faced with the problem of how much premium to charge the customers. Generally, the premium charged by the company (P, measured in hundred dollars) is decided on the basis of the age of the person (A) and the duration for which the insurance is taken (D). A health insurance company collects data on 350 randomly selected customers. The estimated regression function is: P₁ = 380.36+0.84 A +2.78 D +0.64 AxD, R² = 0.546. (1.12) (1.08) (1.14) (1.94) The standard errors are given in parentheses. The change in the premium due to an increase in the age of a person by 1 year, holding the duration of insurance constant at 3 years, will be $ The change in the premium due to an increase in duration of the insurance by 1 year, holding the age of the person constant at 50 years, will be $ (Express your answers in dollars.) Suppose the age of a person is 50 years and the duration for which he purchases the insurance is 3 years. If both the age of the person and the duration of insurance increase by 1 year, the change in the premium will be $ (Express your answer in dollars.)
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