Suppose that the correlation r between two quantitative variables was found to be r = 0. Which of the following is the best interpretation of this correlation value? There is a strong linear relationship between the two variables. There is no linear relationship between the two variables. There is a strong relationship between the two variables. There is no relationship between the two variables.

If there is no relationship (linear or otherwise) between two quantitative variables as observed on a scatterplot, the value of the correlation coefficient, r, is likely to be which of the following? Closer to 1 Closer to −1 Closer to 0 Either closer to −1 or 1

When is the correlation coefficient equal to 0?(1 Point)a) When there is a strong positive linear relationship.b) When there is a strong negative linear relationship.c) When there is no linear relationship.d) When there is a curvilinear relationship.

In simple linear regression, if the value of the correlation coefficient (r) is close to 1 or -1, what can we infer?A) The independent variable has no effect on the dependent variable.B) There is a weak linear relationship between the independent and dependent variables.C) The relationship between the variables is likely non-linear.D) There is a strong linear relationship between the independent and dependent variables.

The coefficient of correlation r between two bivariate data is –0.80.  Which best describes the correlation?*There is no correlation because the computed r is negative.The correlation is very high but negative.The correlation is very low but negative.The strength of the correlation is negligible.None of the above

We first introduce the concept of correlation in the Section 2.5 notes.Consider a linear model of the relationship between two quantitative variables in which the slope coefficient is non-zero. Which of the following statements about the slope coefficient and the correlation r between the two variables is correct?Question 1Select one:a.The slope coefficient could be negative when the correlation coefficient is positiveb.The slope coefficient and the correlation coefficient should have the same sign (both positive, or both negative)c.The slope coefficient could be positive when the correlation coefficient is negatived.The correlation coefficient can only be a positive value (regardless of whether the slope is positive or negative)Clear my choice