We appreciate your visit to The table below shows the heights of 6 pairs of brothers and sisters labeled A through F Heights are rounded to the nearest inch tex. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To solve this problem, we're going to compare the actual height of the sister to the height predicted by the line of best fit for the one brother and sister pair whose heights are both 71 inches.
1. Identify the data needed:
- Brother's height: 71 inches
- Actual sister's height: 71 inches
2. Use the line of best fit to find the predicted sister's height:
- The equation of the line of best fit is [tex]\( y = 1.42105x - 32.2632 \)[/tex].
- Plug the brother's height (71 inches) into the equation:
[tex]\[
\text{Predicted sister's height} = 1.42105 \times 71 - 32.2632
\][/tex]
3. Calculate the predicted sister's height:
- Perform the multiplication:
[tex]\[
1.42105 \times 71 = 100.89555
\][/tex]
- Next, subtract 32.2632:
[tex]\[
100.89555 - 32.2632 = 68.63135
\][/tex]
- Therefore, the predicted sister's height is approximately 68.63135 inches.
4. Determine the difference between the actual and predicted heights:
- The actual sister's height is 71 inches.
- Subtract the predicted height from the actual height:
[tex]\[
71 - 68.63135 = 2.36865
\][/tex]
So, the difference between the sister's actual height and the height predicted by the line of best fit is approximately 2.37 inches.
1. Identify the data needed:
- Brother's height: 71 inches
- Actual sister's height: 71 inches
2. Use the line of best fit to find the predicted sister's height:
- The equation of the line of best fit is [tex]\( y = 1.42105x - 32.2632 \)[/tex].
- Plug the brother's height (71 inches) into the equation:
[tex]\[
\text{Predicted sister's height} = 1.42105 \times 71 - 32.2632
\][/tex]
3. Calculate the predicted sister's height:
- Perform the multiplication:
[tex]\[
1.42105 \times 71 = 100.89555
\][/tex]
- Next, subtract 32.2632:
[tex]\[
100.89555 - 32.2632 = 68.63135
\][/tex]
- Therefore, the predicted sister's height is approximately 68.63135 inches.
4. Determine the difference between the actual and predicted heights:
- The actual sister's height is 71 inches.
- Subtract the predicted height from the actual height:
[tex]\[
71 - 68.63135 = 2.36865
\][/tex]
So, the difference between the sister's actual height and the height predicted by the line of best fit is approximately 2.37 inches.
Thanks for taking the time to read The table below shows the heights of 6 pairs of brothers and sisters labeled A through F Heights are rounded to the nearest inch tex. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
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