QUESTION IMAGE
Question
associate, formulate, correlate!
consider each of these relationships.
1 describe any associations between the independent and dependent variables and then draw a line of best fit, if possible.
remember
data comparing two variables can show a positive association, negative association, or no association.
the corr
correlation is
the correlati
that measure
you use the
- the r-va
between
- the do
two va
- the c
1 de
cc
e
Step1: Analyze the scatter - plot for (a)
In the scatter - plot of "Miles per Gallon" (y - axis) vs "Weight of Vehicle" (x - axis), as the weight of the vehicle (x) increases, the miles per gallon (y) decreases. So, there is a negative association. A line of best fit can be drawn which slopes downwards from left to right.
Step2: Analyze the scatter - plot for (b)
In the scatter - plot of "Height" (y - axis) vs "IQ Score" (x - axis), the points are randomly scattered. There is no clear pattern of increase or decrease. So, there is no association.
Step3: Analyze the scatter - plot for (c)
In the scatter - plot of "Grades on Algebra Test" (y - axis) vs "Time Spent Studying" (x - axis), as the time spent studying (x) increases, the grades on the algebra test (y) increase. So, there is a positive association. A line of best fit can be drawn which slopes upwards from left to right.
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- (a): Negative association. A line of best fit with a negative slope can be drawn.
- (b): No association.
- (c): Positive association. A line of best fit with a positive slope can be drawn.