Jekekekjdjdjdjjds
Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

The following data were collected.
\begin{tabular}{|l|l|l|l|l|l|l|l|l|l|l|}
\hline[tex]$x$[/tex] & 0 & 1 & 2 & 2 & 3 & 5 & 5 & 7 & 7 & 9 \\
\hline[tex]$y$[/tex] & 2 & 5 & 2 & 4 & 7 & 6 & 5 & 3 & 9 & 9 \\
\hline
\end{tabular}

Use technology to determine the slope of the line of best fit.

A. The slope of the line is approximately -2.87.
B. The slope of the line is approximately -0.568.
C. The slope of the line is approximately 2.87.
D. The slope of the line is approximately 0.568.

Sagot :

GinnyAnswer
To determine the slope of the line of best fit for the given data points, we can use linear regression analysis. In linear regression, the line of best fit is represented by the equation:

[tex]\[ y = mx + b \][/tex]

where [tex]\( m \)[/tex] is the slope of the line and [tex]\( b \)[/tex] is the y-intercept.

Given data points:
[tex]\[ x: [0, 1, 2, 2, 3, 5, 5, 7, 7, 9] \][/tex]
[tex]\[ y: [2, 5, 2, 4, 7, 6, 5, 3, 9, 9] \][/tex]

Using technology, we find that the slope of the line of best fit is approximately:
[tex]\[ 0.568 \][/tex]

Thus, among the given options:

1. The slope of the line is approximately -2.87.
2. The slope of the line is approximately -0.568.
3. The slope of the line is approximately 2.87.
4. The slope of the line is approximately 0.568.

The correct answer is:
[tex]\[ 0.568 \][/tex]
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.