Refer to the accompanying scattered, Examine the pattern of all 10 points and su
ID: 3224795 • Letter: R
Question
Refer to the accompanying scattered, Examine the pattern of all 10 points and subjectively determine whether there appears to be a strong correlation between x and y. Find the value of the correlation coefficient r and determine whether there is a linear correlation. Remove the point with coordinates (9.1) and find the correlation coefficient r and determine whether-there is a linear correlation. What do you conclude about the possible effect from a single pair of values? Click here to view a table of critical values for the correlation coefficient. Do the data points appear to have a strong linear correlation? No Yes What is the value of the correlation coefficient for all 10 data points? r= ___ (Simplify your answer. Round to three decimal places as needed.) Is there a linear correlation between x and y? Use alpha = 0 05. No, because the correlation coefficient is in the critical region. Yes, because the correlation coefficient is in the critical region. Yes, because the correlation coefficient is not in the critical region. No, because the correlation coefficient is not in the critical region. What is the correlation coefficient when the paint (9.1) is excluded? r = ___ (Round to three decimal places as needed.) Is there a linear correlation between x and y? Use alpha = 0 05. No, because the correlation coefficient is not in the critical region. Yes, because the correlation coefficient is not in the critical region.Explanation / Answer
a)
Yes. The data points appear to have strong linear correlation .
b)
The value of the correlation coefficient for all 10 data points is 0.88.
Yes. there is linear correlation between x and y because the correlation coefficient is in the critical region.
So the correct answer is option B.
c)
The correlation coefficient when the point (9,1) excluded is r = 0.
There is no linear correlation between x and y because the correlation coefficient is not in the critical region.
So the correct answer is option A.