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Example Questions
Example Question #1 : How To Interpret Dotplots
A basketball coach wants to determine if a player's height can be used to predict the number of points that player scores in a season. Before using a statistical test to determine the precise relationship of the variables, the coach wants a visual of the data to see if there is likely to be a relationship. Which of the following should the coach create?
Z-score
Histogram
Bar chart
Scatterplot
Bell curve
Scatterplot
A scatterplot is a diagram that shows the values of two variables and provides a general illustration of the relationship between them.
Example Question #1 : How To Interpret Dotplots
Based on the scatter plot below, is there a correlation between the and
variables? If so, describe the correlation.
Yes; negative linear relationship
No; there is no correlation
Yes; positive linear relationship
Yes; negative exponential relationship
Yes; negative linear relationship
The data points follow an overall linear trend, as opposed to being randomly distributed. Though there are a few outliers, there is a general relationship between the two variables.
A line could accurately predict the trend of the data points, suggesting there is a linear correlation. Since the y-values decrease as the x-values increase, the correlation must be negative. We can see that a line connecting the upper-most and lower-most points would have a negative slope.
An exponential relationship would be curved, rather than straight.
Example Question #2 : Graphing Data
Order the correlation coefficients to fit the order of the following graphs (two coefficients will not be used)
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The first graph is random scatter, no correlation, the second is perfect linear, corellation , the last two have fairly strong positive and negative corellations, the student should know that a corellation of
is much weaker than them
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