Question

A psychiatrist has noticed that the schizophrenics who have been in the hospital the longest scored the lowest on a mental orientation test. The data for five schizophrenics are listed in the table below.

a. Calculate SP using either method, and then calculate r. (8 points)

Years of hospitalization     Orientation Score

X     Y

1                                       2

2                                       3

4                                       2

5 6

8    7

   ΣX =                                 ΣY =

    SSx = 30                           SSy = 22

    M_X = M_Y  =

b. Determine the significance of this correlation at alpha .05, two-tailed. Give the critical value and state whether or not there is a significant association between the two variables. (4 pts.)

c. Interpret the meaning of this correlation in terms of the problem. What is the direction of the relationship between years of hospitalization and orientation score? (4 points)

d. Find the regression equation for predicting Y from X. (4 points)

e. Calculate the predicted orientation score for patients who have being hospitalized for 6 and 12 years, respectively.  (3 points)

Answer 1