In: Statistics and Probability
Using the following data...
(a) Fill in the table:
X | Y | X2 | Y2 | XY |
5 | 2 | |||
7 | 3 | |||
10 | 4 | |||
8 | 5 | |||
7 | 4 | |||
ΣX = | ΣY = | ΣX2 = | ΣY2 = | ΣXY = |
(b) Compute the degrees of freedom and determine the critical value
of r for α = 0.05 (two-tails).
df =
r-critical =
(c) Compute SSX, SSY,
SP, and the Pearson correlation (r). (Use 3
decimals)
SSX =
SSY =
SP =
r =
(d) What decision should be made?
Retain the null.Reject the null.
(e) Calculate r2, the percentage of variance
explained: (Use 3 decimals)
r2 =
Solution:
a) Fill the table:
b) critical value:
c) Pearson correlation coefficient is:
d) decision:
e) Coefficient of determination: