Five observations taken for two variables follow. xi 4 6 11 3 16 yi 50 50 40 60 20 (a) Develop a scatter diagram with x on the horizontal axis. A scatter plot with 5 points is given. The horizontal axis is labeled: x, and ranges from 0 to 20. The vertical axis is labeled: y, and ranges from 0 to 80. The leftmost point on the plot is at about (3 , 48). Moving right, second point is below and to the right of the first point. The third point is above and to the right of the second point. The fourth point is below and to the right of the third point. The fifth point is below and to the right of the fourth point. (b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? The scatter diagram indicates that there is ---Select--- a negative no a positive a negative relationship between the two variables. (c) Compute the sample covariance. Based on the sample covariance, what can be said about the relationship between the two variables? 1.There is a strong positive linear relationship between the two variables. 2.There is a strong negative linear relationship between the two variables. 3.There is no relationship between the two variables. 4. There is a positive linear relationship between the two variables, but the strength of this relationship cannot be determined based on the sample covariance. (d) Compute the sample correlation coefficient. (Round your answer to three decimal places.) Based on the sample correlation coefficient, what can be said about the relationship between the two variables? 1. There is a strong positive linear relationship between the two variables. 2. There is a strong negative linear relationship between the two variables. 3.There is no relationship between the two variables. 4. There is a positive linear relationship between the two variables, but the strength of this relationship cannot be determined based on the sample correlation coefficient. 5. There is a negative linear relationship between the two variables, but the strength of this relationship cannot be determined based on the sample correlation coefficient.

Five observations taken for two variables follow. xi 4 6 11 3 16 yi 50 50 40 60 20 (a) Develop a scatter diagram with x on the horizontal axis. A scatter plot with 5 points is given. The horizontal axis is labeled: x, and ranges from 0 to 20. The vertical axis is labeled: y, and ranges from 0 to 80. The leftmost point on the plot is at about (3 , 48). Moving right, second point is below and to the right of the first point. The third point is above and to the right of the second point. The fourth point is below and to the right of the third point. The fifth point is below and to the right of the fourth point. (b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? The scatter diagram indicates that there is ---Select--- a negative no a positive a negative relationship between the two variables. (c) Compute the sample covariance. Based on the sample covariance, what can be said about the relationship between the two variables? 1.There is a strong positive linear relationship between the two variables. 2.There is a strong negative linear relationship between the two variables. 3.There is no relationship between the two variables. 4. There is a positive linear relationship between the two variables, but the strength of this relationship cannot be determined based on the sample covariance. (d) Compute the sample correlation coefficient. (Round your answer to three decimal places.) Based on the sample correlation coefficient, what can be said about the relationship between the two variables? 1. There is a strong positive linear relationship between the two variables. 2. There is a strong negative linear relationship between the two variables. 3.There is no relationship between the two variables. 4. There is a positive linear relationship between the two variables, but the strength of this relationship cannot be determined based on the sample correlation coefficient. 5. There is a negative linear relationship between the two variables, but the strength of this relationship cannot be determined based on the sample correlation coefficient.

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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I am having trouble with this HW problem.

Five observations taken for two variables follow.

x_i	4	6	11	3	16
y_i	50	50	40	60	20

(a)

Develop a scatter diagram with x on the horizontal axis.

A scatter plot with 5 points is given.

The horizontal axis is labeled: x, and ranges from 0 to 20.
The vertical axis is labeled: y, and ranges from 0 to 80.
The leftmost point on the plot is at about (3 , 48).
Moving right, second point is below and to the right of the first point.
The third point is above and to the right of the second point.
The fourth point is below and to the right of the third point.
The fifth point is below and to the right of the fourth point.

(b)

What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?

The scatter diagram indicates that there is ---Select--- a negative no a positive

a negative

relationship between the two variables.

(c)

Compute the sample covariance.

Based on the sample covariance, what can be said about the relationship between the two variables?

1.There is a strong positive linear relationship between the two variables.

2.There is a strong negative linear relationship between the two variables. 3.There is no relationship between the two variables.

4. There is a positive linear relationship between the two variables, but the strength of this relationship cannot be determined based on the sample covariance.

(d)

Compute the sample correlation coefficient. (Round your answer to three decimal places.)

Based on the sample correlation coefficient, what can be said about the relationship between the two variables?

1. There is a strong positive linear relationship between the two variables. 2. There is a strong negative linear relationship between the two variables.

3.There is no relationship between the two variables.

4. There is a positive linear relationship between the two variables, but the strength of this relationship cannot be determined based on the sample correlation coefficient.

5. There is a negative linear relationship between the two variables, but the strength of this relationship cannot be determined based on the sample correlation coefficient.

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