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Name: A doctor wanted to determine whether there is a relation between a ma
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Description: A doctor wanted to determine whether there is a relation between a male's age and his HDL (so-called good) cholesterol. The doctor randomly selected 17 of his patients and determined their HDL cholesterol. The data obtained by the doctor is the in

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A doctor wanted to determine whether there is a relation between a male's age and his HDL (so-called good) cholesterol. The doctor randomly selected 17 of his patients and determined their HDL cholesterol. The data obtained by the doctor is the in the data table below. Complete questions below.

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Age, x	HDL Cholesterol, y	Age, x	HDL Cholesterol, y
37	57	38	46
42	52	64	63
45	33	28	55
34	54	49	37
53	35	26	46
50	40	50	38
60	42	47	56
59	38	40	30
24	46

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(a) Determine the least-squares regression equation from the sample data.

y=nothingx+nothing

(Round to three decimal places as needed.)

(b)

Assuming the residuals are normally distributed, test whether a linear relation exists between age and HDL cholesterol levels at the

α=0.01

level of significance.

What are the null and alternative hypotheses?

H0:

β1=0;

H1:

β1≠0

H0:

β1=0;

H1:

β1>0

H0:

β1=0;

H1:

β1<0

Use technology to compute the P-value. Use the Tech Help button for further assistance.

The P-value is

nothing.

(Round to three decimal places as needed.)

What conclusion can be drawn at

α=0.01

level of significance?

Do not reject

the null hypothesis because the P-value is

less

than

α=0.01.

Reject

the null hypothesis because the P-value is

greater

than

α=0.01.

Reject

the null hypothesis because the P-value is

less

than

α=0.01.

Do not reject

the null hypothesis because the P-value is

greater

than

α=0.01.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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