Which r-value implies the stronger linear relationship? Select one.
a. r= -0.9
b. r= 0.3
c. r= −0.2
d. r= −0.5
e. r=0
r = 0 is no relationship at all and the strongest in either r =1 or r=-1
The positive 1 and negative would be a line where all the points are on the line. The only difference would be the slope of the line.
So.. based on those facts can you choose the correct answer?
a. r= -0.9 ?
Correct. It would almost be a perfect line with a negative slope.
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To determine the strength of the linear relationship, we need to look at the value of the correlation coefficient (r). The correlation coefficient ranges from -1 to 1.
The closer the value of r is to 1 or -1, the stronger the linear relationship. If the value of r is close to 1 or -1, it indicates a strong positive or negative linear relationship, respectively.
Now let's compare the provided options:
a. r = -0.9 - This value is close to -1, which suggests a strong negative linear relationship.
b. r = 0.3 - This value is positive but relatively small, indicating a weak positive linear relationship.
c. r = -0.2 - This value is close to 0, indicating a very weak negative linear relationship.
d. r = -0.5 - This value is between -1 and 0, indicating a moderate negative linear relationship.
e. r = 0 - This value indicates no linear relationship.
Based on the above explanations, the option with the strongest linear relationship is option a, where r = -0.9.