Strong Assosation Scatter Plot

The association can be strong very little scatter compared to the movement in the trend or weak lots of scatter around the trend. An association is called positive if y tends to get bigger when x gets bigger and negative if y tends to get smaller as x gets bigger. Association No Association Strong Weak Strong versus Weak Association

On the plot, there is a dot for each observation in the data set. There is a fairly strong, roughly linear, positive association between vehicle weight and gas mileage. B. There is a very weak, roughly linear, negative association between This could give us a more precise measure of the association than a scatterplot.

r gt 0.7 Strong The relationship between two variables is generally considered strong when their r value is larger than 0.7. The correlation r measures the strength of the linear relationship between two quantitative variables. Pearson r r is always a number between -1 and 1. r gt 0 indicates a positive association.

The form of the relationship seems to be linear.Notice how the points tend to be scattered about the line. Although, as we mentioned earlier, it is problematic to assess the strength without a numerical measure, the relationship appears to be moderately strong, as the data is fairly tightly scattered about the line.Finally, all the data points seem to quotobeyquot the patternthere do not

So the association between number of hours spent for studying and marks scored is positive. That is, a s number of hours is getting increased, the marks scored is also getting increased. Example 2 The scatter plot shows David's height at various ages. Describe the type of association between David's age and his height. Explain.

In Example 5.2, the scatterplot shows a negative association between monthly rent and distance from campus. Since the data points are very close to a straight line it is not surprising the correlation is -.903. In Example 5.3, the scatterplot does not show any strong association between exercise hoursweek and study hoursweek. This lack of

A scatterplot is a graph that shows the relationship between two variables. The type of association between the variables can be positive, negative, linear, non-linear, strong, or weak. . A positive association means that as one variable increases, the other variable also increases.

In the scatter in X for a given value of Y is very small, so the association is strong. In fact, there is a deterministic relationship between the two variables Y sinX. The plot is half a period of the sine function. Even though the association is perfectone can predict Y exactly from Xthe correlation coefficient r is exactly zero

So the big key things in this tutorial were the direction of an association-- either positive, negative, or none-- the strength of an association-- strong, moderate, or weak-- and then the form of an association-- either linear or nonlinear. So that has been the tutorial on describing scatter plots. Thanks for watching.

Scatter Plots A scatter plots is a mathematical diagram represented by a set of dots that displays the relationships between two numerical variables. Then x-coordinate of the dot, measured along the horizontal axis gives the value of one variable and y-coordinate of the dot, measured along the vertical axis, gives the value of the other variable.