Does a trend line always pass through every point on a scatter box? Explain.
Also, how do I solve 2/3p - 1/2 = 1/6?
No.
http://www.presentation-process.com/images/x-y-scatter-charts.jpg
2/3p - 1/2 = 1/6
2/3p = 1/6 + 3/6
2/3p = 4/6 = 2/3
p = (2/3)/ (2/3)
p = (2/3) * (3/2)
p = 6/6 = 1
No, a trend line does not always pass through every point on a scatter plot. A scatter plot is a graph that displays the relationship between two variables, with each point representing a specific data point. On the other hand, a trend line is a line that represents the general direction or pattern of the data.
When drawing a trend line, the goal is to find the best fit for the data points, which means trying to minimize the distance between the line and the data points. In many cases, it is not possible for a single line to pass through every data point due to variations and outliers in the data.
Instead, a trend line typically aims to capture the overall trend or pattern of the data. It may pass through some points, but it will also have points above and below the line, reflecting the variability of the data. The objective is to find the line that best represents the general relationship between the variables, taking into account the overall pattern while minimizing the overall error.
To determine the best fit line or trend line, there are different methods such as the method of least squares or other regression techniques. These methods calculate the line that minimizes the sum of the squared distances between the line and the data points, giving more weight to points that are farther from the line.
In summary, a trend line does not always pass through every point on a scatter plot as its purpose is to represent the general trend or pattern in the data, accounting for variations and minimizing the overall error.