Answer :
a. The scatter diagram is attached
b. The least-squares regression line is y = -0.60x + 6.51
c. The least-squares regression diagram is attached
How to draw the scatter diagram
From the question, we have the following parameters that can be used in our computation:
x 0 2 4 4 6 6
y 5.9 6.0 4.8 3.9 2.5 2.8
The scatter plot is attached
From the plot, we can see that there is negative linear relation
How to determine the least-squares regression line.
Here, we have
x = 3.6667
Sx = 2.3381
y = 4.3167
Sy = 1.5065
r = -0.9293
The least-squares regression line is represented as
y = ax + b
Where
a = r * Sy/Sx
b = y - ax
So, we have
a = -0.9293 * 1.5065/2.3381
a = -0.5987
Also, we have
b = 4.3167 + 0.5987 * 3.6667
b = 6.5121
So, we have
y = -0.5987x + 6.5121
Approximate
y = -0.60x + 6.51
The graph is attached
Read more about linear regression at
https://brainly.com/question/25987747
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Question
A data set is given below.
(a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y.
(b) Given that
x=3.6667, sx=2.3381, y=4.3167, sy=1.5065, and r=−0.9293,
determine the least-squares regression line.
(c) Graph the least-squares regression line on the scatter diagram drawn in part
x 0 2 4 4 6 6
y 5.9 6.0 4.8 3.9 2.5 2.8
