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The table shows the weight of a dog in pounds at various ages in months.

[tex]\[
\begin{tabular}{|c|c|}
\hline
\multicolumn{2}{|c|}{Age vs. Weight of a Dog} \\
\hline
Age in months & Weight in pounds \\
\hline
3 & 2 \\
\hline
4 & 5 \\
\hline
6 & 7 \\
\hline
8 & 10 \\
\hline
9 & 11 \\
\hline
12 & 15 \\
\hline
\end{tabular}
\][/tex]

What values should be entered for [tex]$x$[/tex] and [tex]$y$[/tex] into a regression calculator to find the equation of the trend line?

Sagot :

GinnyAnswer
To find the equation of the trend line using a regression calculator, you need to input the values for the age in months (denoted as [tex]\(x\)[/tex]) and the corresponding weight in pounds (denoted as [tex]\(y\)[/tex]). These values are taken directly from the given table of data.

The values of [tex]\(x\)[/tex] (age in months) are:
[tex]\[ x = [3, 4, 6, 8, 9, 12] \][/tex]

The values of [tex]\(y\)[/tex] (weight in pounds) are:
[tex]\[ y = [2, 5, 7, 10, 11, 15] \][/tex]

So, you should enter the following datasets into the regression calculator:

- For [tex]\(x\)[/tex] (Age in months): 3, 4, 6, 8, 9, 12
- For [tex]\(y\)[/tex] (Weight in pounds): 2, 5, 7, 10, 11, 15

By entering these values, the regression calculator will be able to compute the trend line equation that best fits the given data points.
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