A store manager wishes to find out whether there is a relati

A store manager wishes to find out whether there is a relationship between the age of her employees and the number of sick days they take each year. The data for the samole follow. Test the hypothesis at a = 0.05. Use table l

Age, X     18    26    39    48    53    58

Days, y    16    12    9      5    6      2

Find the correlation coefficient (r)

critical values are:

When x is equal to 47 years, y\' is equal to:

Solution

X Values
= 242
Mean = 40.333
(X - M_x)² = SS_x = 1237.333

Y Values
= 50
Mean = 8.333
(Y - M_y)² = SS_y = 129.333

X and Y Combined
N = 6
(X - M_x)(Y - M_y) = -391.667

r = ((X - M_y)(Y - M_x)) / ((SS_x)(SS_y))

r = -391.667 / ((1237.333)(129.333)) = -0.9791.....

critical values are = + or - 2.776445.........

c) a = (y)*(x^2) - (x)*( xy) / n(x^2)*(x^2) = 21.1......
b= n(xy)-(x)( y) / n(x^2)- (x)^2 = -0.32......

y`= a+bx
x =47..then, y` = 6.22...