Answer:
- No, the points are evenly distributed about the x-axis.
Explanation:
<u>1. Write the table with the data:</u>
x given predicted residual
1 - 3.5 - 1.1
2 - 2.9 2
3 - 1.1 5.1
4 2.2 8.2
5 3.4 1.3
<u>2. Complete the column of residuals</u>
The residual is the observed (given) value - the predicted value.
- residual = given - predicted.
Thus, the complete table, with the residual values are:
x given predicted residual
1 - 3.5 - 1.1 - 2.4
2 - 2.9 2 - 4.9
3 - 1.1 5.1 - 6.2
4 2.2 8.2 - 6.0
5 3.4 1.3 2.1
<u>3. Residual plot</u>
You must plot the last column:
x residual
1 - 2.4
2 - 4.9
3 - 6.2
4 - 6.0
5 2.1
See the plot attached.
<em>Does the residual plot show that the line of best fit is appropriate for the data?</em>
Ideally, a residual plot for a line of best fit that is appropiate for the data must not show any pattern; the points should be randomly distributed about the x-axis.
But the points of the plot are not randomly distributed about the x-axis: there are 4 points below the x-axis and 1 point over the x-axis: there are more negative residuals than positive residuals. This is a pattern. Also, you could say that they show a curve pattern, which drives to the same conclusion: the residual plot shows that the line of best fit is not appropiate for the data.
Thus, the conclusion should be: No, the points have a pattern.
- 1. "<em>Yes, the points have no pattern</em>": false, because as shown, the points do have a pattern, which makes the residual plots does not show that the line of best fit is appropiate for the data.
- 2. "<em>No, the points are evenly distributed about the x-axis</em>": true. As already said the points have a pattern. It is a curved pattern, and this <em>shows the line of best fit is not appropiate for the data.</em>
- 3. "<em>No, the points are in a linear pattern</em>": false. The points are not in a linear pattern.
- 4. "<em>Yes, the points are in a curved pattern</em>": false. Because the points are in a curved pattern, the residual plot shows that the line of best fit is not appropiate for the data.
Phishing email is an email fraud method in which the attacker or hacker send an email which appears to come from well know and trustworthy websites or persons.
The most significant danger is that email appear to come from a very official company or websites. And it is very easy to be fooled and providing personal information like credit card numbers etc.
Answer:
The first of the basic laws of geometric optics is the law of rectilinear propagation of light. It reads: in an optically homogeneous medium the ray of light propagates in a direction.
To solve this question, we will need the help of the picture attached:
1. According to this, every 101010 miles from the elementary school (Assuming the school is in point 0 of the line) the property taxes decrease 0.5%.
2. We also know that the greatest value in property taxes is 4.5%, and this decreases every 101010 miles.
So, if we draw a line divided in sections of 101010 miles and taking into account the data given, we have to sum each 101010 miles section until we get to the property tax value of the house, which is 3% in this problem.
Then, the distance from the school to the house, taking into account the 0.5% decrease with the distance is:
303030 miles