Question

In: Statistics and Probability

A linear relationship exists between 2 quantitative variables. The correlation coefficient is -0.14. Which of the...

A linear relationship exists between 2 quantitative variables. The correlation coefficient is -0.14. Which of the following is true?

A transformation should be done to try to make the correlation coefficient positive and closer to 1.
There is no evidence to indicate a relationship exists between the two variables because of the negative correlation coefficient.
This indicates a strong relationship between the two variables.
This indicates a weak relationship between the two variables.

This is impossible as correlation coefficients can’t be negative.

n the Analysis of Variance procedure used to compare group means, suppose all groups had exactly the same sample mean but the observations within each group had different values. Which of the following is true?

SSG is definitely 0.
SSE is definitely 0.
SST is definitely 0.
all three sums of squares (SSG, SSE, and SST) are definitely 0.
none of the sums of squares (SSG, SSE, and SST) are 0.

Solutions

Expert Solution

Result:

A linear relationship exists between 2 quantitative variables. The correlation coefficient is -0.14. Which of the following is true?

A transformation should be done to try to make the correlation coefficient positive and closer to

There is no evidence to indicate a relationship exists between the two variables because of the negative correlation coefficient.

This indicates a strong relationship between the two variables.

Answer:

This indicates a weak relationship between the two variables.

This is impossible as correlation coefficients can’t be negative.

Note: correlation can be negative. The small value of correlation ( 0.14) shows that the relation is weak.

In the Analysis of Variance procedure used to compare group means, suppose all groups had exactly the same sample mean but the observations within each group had different values. Which of the following is true?

Answer

SSG is definitely 0.

SSE is definitely 0.

SST is definitely 0.

all three sums of squares (SSG, SSE, and SST) are definitely 0.

none of the sums of squares (SSG, SSE, and SST) are 0.

Note: when the group means are exactly same, between group variance is 0. Therefore SSG is 0.

The observations within each group had different values, SSE and SST are not 0.


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