Answered

Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Melissa collected the data in the table.

\begin{tabular}{|c|c|c|c|}
\hline
[tex]$x$[/tex] & Given & Predicted & Residual \\
\hline
1 & 2 & 1 & 1 \\
\hline
2 & 3 & 4 & -1 \\
\hline
3 & 8 & 7 & 1 \\
\hline
4 & 9 & 10 & [tex]$?$[/tex] \\
\hline
\end{tabular}

When [tex]$x=4$[/tex], what is the residual?

A. [tex]$-3$[/tex]
B. [tex]$-1$[/tex]
C. 1
D. 3

Sagot :

GinnyAnswer
To find the residual when [tex]\( x = 4 \)[/tex], we need to understand how the residual is calculated. The residual is the difference between the given value and the predicted value. Based on the information provided, the formula we use to calculate the residual is:

[tex]\[ \text{Residual} = \text{Given} - \text{Predicted} \][/tex]

For [tex]\( x = 4 \)[/tex]:
- The given value (Given) is 9.
- The predicted value (Predicted) is 10.

Now, using the formula:

[tex]\[ \text{Residual} = 9 - 10 \][/tex]
[tex]\[ \text{Residual} = -1 \][/tex]

Therefore, when [tex]\( x = 4 \)[/tex], the residual is [tex]\(-1\)[/tex].

The correct answer is:
[tex]\[ -1 \][/tex]
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.