Answer:
1 and 4
Step-by-step explanation:
For this case we must simplify the following expression:
![\frac {1} {2} -3 (\frac {1} {2} +1) ^ 2](https://tex.z-dn.net/?f=%5Cfrac%20%7B1%7D%20%7B2%7D%20-3%20%28%5Cfrac%20%7B1%7D%20%7B2%7D%20%2B1%29%20%5E%202)
Then we have to start by solving the operation within the parenthesis:
![\frac {1} {2} -3 (\frac {1 + 2 * 1} {2}) ^ 2 =\\\frac {1} {2} -3 (\frac {3} {2}) ^ 2 =\\\frac {1} {2} -3 (\frac {3} {2} * \frac {3} {2}) =\\\frac {1} {2} -3 (\frac {9} {4}) =\\\frac {1} {2} - \frac {27} {4} =\\\frac {4 * 1-2 * 27} {4 * 2} =\\\frac {4-54} {8} =\\\frac {-50} {8} =\\- \frac {25} {4}](https://tex.z-dn.net/?f=%5Cfrac%20%7B1%7D%20%7B2%7D%20-3%20%28%5Cfrac%20%7B1%20%2B%202%20%2A%201%7D%20%7B2%7D%29%20%5E%202%20%3D%5C%5C%5Cfrac%20%7B1%7D%20%7B2%7D%20-3%20%28%5Cfrac%20%7B3%7D%20%7B2%7D%29%20%5E%202%20%3D%5C%5C%5Cfrac%20%7B1%7D%20%7B2%7D%20-3%20%28%5Cfrac%20%7B3%7D%20%7B2%7D%20%2A%20%5Cfrac%20%7B3%7D%20%7B2%7D%29%20%3D%5C%5C%5Cfrac%20%7B1%7D%20%7B2%7D%20-3%20%28%5Cfrac%20%7B9%7D%20%7B4%7D%29%20%3D%5C%5C%5Cfrac%20%7B1%7D%20%7B2%7D%20-%20%5Cfrac%20%7B27%7D%20%7B4%7D%20%3D%5C%5C%5Cfrac%20%7B4%20%2A%201-2%20%2A%2027%7D%20%7B4%20%2A%202%7D%20%3D%5C%5C%5Cfrac%20%7B4-54%7D%20%7B8%7D%20%3D%5C%5C%5Cfrac%20%7B-50%7D%20%7B8%7D%20%3D%5C%5C-%20%5Cfrac%20%7B25%7D%20%7B4%7D)
ANsweer:
![- \frac {25} {4}](https://tex.z-dn.net/?f=-%20%5Cfrac%20%7B25%7D%20%7B4%7D)
Answer:
—1 ...........................
A line of best fit is a line drawn at average distance to a series of scattered points. Thus, the correct option is:
Option B. The <em>data</em> point is 4. 5 units <u>below</u> the line of best fit.
A graph is said to be formed by plotted points on a <u>Cartesian </u>coordinate plane. When the plotted <em>points</em> are <u>scattered</u>, a <em>line of best fit</em> is required to shoe the relationship among the plotted <em>points</em>.
A <u>residual</u> <u>value</u> is a form of error that is determined from the <em>line of best fit</em>. A <u>line of best fit</u> is a line drawn at <em>average</em> point to a <em>series</em> of plotted <em>scattered</em> points.
Therefore, a residual value of 4.5 with respect to a <em>line of best fit</em> implies that: The data point is 4. 5 units <u>below</u> the <em>line of best fit</em>.
Thus the <em>correct</em> option is B.
Visit: brainly.com/question/1453263