Log in Art Lightstone 6 years agoPosted 6 years ago. Direct link to Art Lightstone's post “In Problem #3, illustrati...” In Problem #3, illustrations A and B, you show something we see in economics quite a bit. In economics, we're always interested in identifying "effects" that take place between variables. However, sometimes one effect drops off and then a new effect takes over. I call this phenomenon a "split" effect. For example, in the Laffer curve, we at first see the government raise more tax revenue as tax rates increase because they collect more money from citizens. Simple enough. However, after a certain tax rate is reached, we start to see a new effect take place wherein the tax revenue drops off as the tax rate is increased further. This is because at very high rates of taxation, people either lose interest in working, or they start to seek ways of hiding their income from the government. Thus, we often see two or more different effects express themselves through a full range of data. While I have always used the term "split" effect to describe such phenomenon, I have not been able to find this phenomenon acknowledged or identified (by any particular term) amongst economists or mathematicians. Mathematicians seem to simply call these scenarios "non-linear" or "curvilinear" relationships, without seeming to notice that there are invariably two distinct relationships being identified by the data. Am I mistaken? Do mathematicians acknowledge split effects? If so, what term do mathematicians use to describe this type of phenomenon? • (42 votes) goldeneggs100 6 years agoPosted 6 years ago. Direct link to goldeneggs100's post “Mathematicians probably i...” Mathematicians probably include your "split effect" in the category of nonlinear correlation (5 votes) Andrew McClellen 6 years agoPosted 6 years ago. Direct link to Andrew McClellen's post “aren't there too many out...” aren't there too many outliers in problem 2 !* • (6 votes) Cortez, Kyla 5 years agoPosted 5 years ago. Direct link to Cortez, Kyla's post “What do you mean? If you ...” What do you mean? If you mean in general, there isn't a lot of outliers. There is only 2 and the 2 are in answer C..... was that a statement or a question? (4 votes) Arbaaz Ibrahim 5 years agoPosted 5 years ago. Direct link to Arbaaz Ibrahim's post “How is it possible to tel...” How is it possible to tell whether the correlation is strong or moderately strong? • (5 votes) Mahak Azeem 4 years agoPosted 4 years ago. Direct link to Mahak Azeem's post “Strong correlation means ...” Strong correlation means that there aren't many outliers. In simple words, the dots on the graph are close to each other. (3 votes) 27boubekeryounes a year agoPosted a year ago. Direct link to 27boubekeryounes's post “How many points have to b...” How many points have to be off course for a graph to be a "moderately negative or positive" • (4 votes) Said Almasri a year agoPosted a year ago. Direct link to Said Almasri's post “Is not about the amount, ...” Is not about the amount, but the direction, if they have a downwards tendency then they are negative, and a topwards is a positive. (3 votes) jacob collier 4 years agoPosted 4 years ago. Direct link to jacob collier's post “no questions i understand” no questions i understand • (3 votes) FREEDA252 4 years agoPosted 4 years ago. Direct link to FREEDA252's post “i just realy needed work ...” i just realy needed work for the carona brake • (3 votes) sa06383 4 years agoPosted 4 years ago. Direct link to sa06383's post “why hast this world lose ...” why hast this world lose its mind? • (3 votes) Joyce Layton 2 years agoPosted 2 years ago. Direct link to Joyce Layton's post “connections between propo...” connections between proportional relationships, lines, and linear equations] • (2 votes) Jerry Nilsson 2 years agoPosted 2 years ago. Direct link to Jerry Nilsson's post “A proportional relationsh...” A proportional relationship is of the form 𝑦 = 𝑘𝑥, An example of a proportional relationship would be the outcome of rolling a six-sided die 𝑥 times. If we ran a bunch of simulations where 𝑥 varies from, say, 1 to 20 (3 votes) Jenny B 5 months agoPosted 5 months ago. Direct link to Jenny B's post “we are so up!” we are so up! • (3 votes) KassL 5 months agoPosted 5 months ago. Direct link to KassL's post “ong brotheren” ong brotheren (0 votes) rosymacs23 2 years agoPosted 2 years ago. Direct link to rosymacs23's post “why is it strong negative” why is it strong negative • (2 votes) Airr_ 2 years agoPosted 2 years ago. Direct link to Airr_'s post “Negative does not necessa...” Negative does not necessarily mean that the points are spread out. Negative just means that the trend line/points are going downwards. Positive is upwards. Positive/negative is the direction of the line, not the strength. (2 votes)Want to join the conversation?
which is also the equation of a straight line that goes through the origin.
Given that the die is fair the average outcome per roll is 𝑘 = 3.5
Thus the expected outcome after 𝑥 rolls is 𝑦 = 3.5𝑥
and we plotted the results we would most likely get something that resembles the line 𝑦 = 3.5𝑥
Hope this helps ;)
FAQs
How to describe form direction and strength of a scatter plot? ›
Form: Is the association linear or nonlinear? Direction: Is the association positive or negative? Strength: Does the association appear to be strong, moderately strong, or weak? Outliers: Do there appear to be any data points that are unusually far away from the general pattern?
How to describe outliers in a scatter plot? ›Outlier: An outlier in a scatterplot is a data point that does not fit the general trend of the rest of the data. This could be a point that is too high or too low relative to the points around it.
How do you tell if a scatter plot is strong or weak? ›The strength of a scatter plot is usually described as weak, moderate or strong. The more spread out the points are, the weaker the relationship. If the points are clearly clustered, or closely follow a curve or line, the relationship is described as strong.
How do you describe a strong scatter plot? ›The closer the data points come to forming a straight line when plotted, the higher the correlation between the two variables, or the stronger the relationship. If the data points make a straight line going from near the origin out to high y-values, the variables are said to have a positive correlation.
How do you describe the results of a scatter plot? ›The overall pattern of a scatterplot can be described by the direction, form, and strength of the relationship. An important kind of departure is an outlier, an individual value that falls outside the overall pattern of the relationship.
How do you describe the strength and direction of the correlation between the variables? ›A weak positive correlation indicates that, although both variables tend to go up in response to one another, the relationship is not very strong. A strong negative correlation, on the other hand, indicates a strong connection between the two variables, but that one goes up whenever the other one goes down.
How do you describe outliers? ›An outlier is a single data point that goes far outside the average value of a group of statistics. Outliers may be exceptions that stand outside individual samples of populations as well. In a more general context, an outlier is an individual that is markedly different from the norm in some respect.
How do you describe outliers in a dot plot? ›There is no rule to identify the outliers. But some books refer to a value as an outlier if it is more than times the value of the interquartile range beyond the quartiles . Also plotting the data on a number line as a dot plot will help in identifying the outliers.
How do you analyze data with outliers? ›- Set up a filter in your testing tool. Even though this has a little cost, filtering out outliers is worth it. ...
- Remove or change outliers during post-test analysis. ...
- Change the value of outliers. ...
- Consider the underlying distribution. ...
- Consider the value of mild outliers.
A data point that is significantly different from the other points in the dataset.
How do you identify the strength of the correlation based on the scatter plot? ›
Adding a trend line, or line of best fit, to your scatter plot can provide insight into the correlation strength. This line represents the average direction of the data points. If the line has a steep slope, whether upward or downward, it usually indicates a stronger correlation.
Which scatterplot shows an outlier? ›Expert-Verified Answer
Final answer: The scatterplot that shows an outlier is the one where the points are clustered together, and one point is much higher than the other points.
Outlier: An outlier is a data point that does not fit the rest of the data. It lies outside of a cluster and does not follow the same pattern. Scatter plots can have many outliers, just one outlier, or no outliers.
How do you analyze a scatter plot? ›You interpret a scatterplot by looking for trends in the data as you go from left to right: If the data show an uphill pattern as you move from left to right, this indicates a positive relationship between X and Y. As the X-values increase (move right), the Y-values tend to increase (move up).
What is the best description of a scatter diagram? ›Scatter diagram is a graphical representation of a set of data in which the values of pairs of variables are plotted on a coordinate system. The tool is widely used in statistics and other fields of science and engineering to represent data relationships.
How do you describe the strength of a graph? ›In graph theory, the strength of an undirected graph corresponds to the minimum ratio of edges removed/components created in a decomposition of the graph in question.
How do you measure the strength and direction of a correlation? ›One of the most common ways to measure the strength of the relationship between two variables is to calculate the correlation coefficient. The correlation coefficient, denoted by r, is a numerical value that ranges from -1 to 1. It indicates how closely the two variables are related in a linear fashion.
How do you describe the trend in a scatter plot? ›A scatter plot shows a positive trend if y tends to increase as x increases. A scatter plot shows a negative trend if y tends to decrease as x increases.