1 You are analyzing a set of paired data and your linear cor

1.) You are analyzing a set of paired data and your linear correlation results were r = 0.591 and a P-value of .294 . The level of significance is .05 and the critical value from table a-6 was r = +/- 0.878.

What will be your conclusion?

a. there is sufficient evidence to support the conclusion that there is a linear correlation between the two variables

b. there is not sufficient evidence to support the conclusion that there is a linear correlation between the two variables

c. additional data is needed to make a conclusion

d. none of the above

2.) The value ____ is the proportion of the variation in y that is explained by the linear relationship between x and y.

a. x

b. y

c. r

d. r²

Solution

1.

As P > 0.05, then:

OPTION B: there is not sufficient evidence to support the conclusion that there is a linear correlation between the two variables

2.

This is the definition of the coefficient of determination, r^2. [OPTION D]