Question

In: Statistics and Probability

Using the following data... (a) Fill in the table: X Y X2 Y2 XY 5 2...

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 =

Solutions

Expert Solution

Solution:

a) Fill the table:

b) critical value:

c) Pearson correlation coefficient is:

d) decision:

e) Coefficient of determination:


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