Question

1. In a correlation analysis, you calculate an R value of -0.006. You run a significance test and find that this result is not significant. Which of the following BEST describes the relationship between the two variables?

a.	there is a weak, negative relationship between the variables

b.	there is a logarithmic relationship between the variables

c.	there is a strong, negative relationship between the variables

d.	there is basically no relationship between the variables

2. Correlation and regression are BEST used with data that have a (n) ___________________ relationship.

a.	logarithmic

b.	exponential

c.

linear

d.

parabolic

3. Which of the following is BEST used to predict the impact of one interval/ratio level variable on another? Note: the result is a predicted value of Y calculated from a value of X.

a.	Chi-square test

b.	A two-tailed, two sample t-test

c.

An ANOVA

d..	Linear regression

Answer 1

1. Answer is (a)

the negative sign indicates, negative correlation

also we know that correlation lies between-1 to +1 , and near to zero means weak correlation.

2. Answer is (c)

correlation n is not appropriate when the data have a nonlinear relationship. And if the data is linear ( we can check by scatter diagram) then only linear regression coefficients gives best estimates of the intercept and slope

3. Answer is (d)

linear regression gives the best line to predict the value of dependent variable y , based on independent variable x