Question

1. A researcher is interested in determining whether wealth predicts happiness in college students. To find out, the researcher samples 402 students in order to conduct a regression analysis. Preliminary data analyses reveal the following: r = +.2; SSxy = 2, SSx = 10, SSy = 10. Assume that wealth and happiness were both measured on a self-report scale with possible values of 1-100 and the mean wealth value was 50 and the mean happiness value was 50.

   Describe the observed correlation in people words.

   		There is a strong positive correlation such that wealthier people tend to be happier people
   		There is no correlation
   		There is a weak positive correlation such that wealthier people tend to be less happy people
   		There is a weak positive correlation such that wealthier people tend to be happier people

1 points   

QUESTION 29

1. A researcher is interested in determining whether wealth predicts happiness in college students. To find out, the researcher samples 402 students in order to conduct a regression analysis. Preliminary data analyses reveal the following: r = +.2; SSxy = 2, SSx = 10, SSy = 10. Assume that wealth and happiness were both measured on a self-report scale with possible values of 1-100 and the mean wealth value was 50 and the mean happiness value was 50.

   After computing degrees of freedom the researcher finds that the critical value for the regression is 3.86 (alpha = .05). What kind of critical value is this?

   		A z value
   		An F value
   		An r value
   		A t value

Answer 1

(1)

Correct option:

There is a weak positive correlation such that wealthier people tend to be happier people

Explanation:
Given:

Correlation coefficient r berween x = wealth and y = happiness is r = + 0.2,

Since Correlation coefficient is positive, there is a direct relation berween x = wealth and y = happiness, i.e., as wealth increases, happiness increases. As wealth decreases, happiness decreases.

Since Correlation coefficient is only + 0.2, very small, weconclude the relation is weak.

(2)

Correct option:

A   t value

Explanation:

The t test is used to conduct hypothesis test on the regression coefficients obtained in simple linear regression.