Question

country stork pairs(102) birth rate (104/year) Albania 1 8 Austria 3 9 Greece 25 11 Portugal...

country stork pairs(102) birth rate (104/year)
Albania 1 8
Austria 3 9
Greece 25 11
Portugal 15 12
Romania 50 35
Spain 80 45

e) Calculate all the predicted values for the predicted variable (birth rate) for given values of the predictor variable (the number of stork pairs) in the data set.

f) On the scatterplot you constructed in (a), draw the regression line using the actual X and predicted Y scores (Y’).

Homework Answers

Answer #1
X y (x-xbar)^2 (x-xbar)(y-ybar)
1
3
25
15
50
80
8
9
11
12
35
45

784
676
16
196
441
2601

SS: 4714

336
286
36
112
315
1275

SP: 2360

A) predicted equation

Sum of X = 174
Sum of Y = 120
Mean X = 29
Mean Y = 20
Sum of squares (SSX) = 4714
Sum of products (SP) = 2360

Regression Equation = ŷ = bX + a

b = SP/SSX = 2360/4714 = 0.50064

a = MY - bMX = 20 - (0.5*29) = 5.48154

ŷ = 0.50064X + 5.48154

B) scatter plot

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