The scatterplot shows the data collected from a survey of 19 students, in which they were asked how many hours per week they study (x) and what their GPAs are (y). What relationship, if any, is shown between the two sets of data?
a
There is a negative correlation between them.
b
There is an indirect correlation between them.
c
There is no correlation between them.
d
There is a positive correlation between them.
d) There is a positive correlation between them.
To determine the relationship between the two sets of data, we need to analyze the scatterplot. If the plot shows a pattern where, as the number of hours studied per week increases, the GPAs tend to decrease, then there is a negative correlation between the two sets of data.
If the plot shows a pattern where, as the number of hours studied per week increases, the GPAs tend to increase, then there is a positive correlation between the two sets of data.
If there is no particular pattern observed in the scatterplot, then there is no correlation between the two sets of data.
Based on the information provided, we cannot determine the relationship without analyzing the scatterplot.
To determine the relationship between the two sets of data shown in the scatterplot, you can observe the pattern of the plotted points. This can be done by visually examining the scatterplot or by performing a statistical analysis, such as calculating the correlation coefficient.
In this case, the question states that the scatterplot represents the data collected from a survey of 19 students regarding the number of hours they study per week (x) and their GPAs (y). To determine the relationship, we should look at the way the points are distributed.
If the points on the scatterplot have a general upward trend, this indicates a positive correlation. A positive correlation means that higher values of x (hours studied per week) tend to be associated with higher values of y (GPAs). In other words, as the number of hours studied per week increases, the GPAs also tend to increase.
If the points on the scatterplot have a general downward trend, this indicates a negative correlation. A negative correlation means that higher values of x (hours studied per week) tend to be associated with lower values of y (GPAs). In other words, as the number of hours studied per week increases, the GPAs tend to decrease.
If there is no apparent trend or pattern in the scatterplot, this indicates no correlation. This means that there is no relationship between the two variables, and the values of x and y are not related.
Based on your description, since the scatterplot doesn't show an upward or downward trend in the points, we can conclude that there is no correlation between the two sets of data. Therefore, the correct answer is option c: "There is no correlation between them."