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:
