Question

Question 7 0.5 pts A set of n = 4 pairs of scores (X and Y values) has SSX-5, SSY-625, and SSXY-50. The coefficient of determination (R2) for these data is__.. (Round your answer to two decimal places.)

Answer 1

SOLUTION:

From given data,

= 4

$ss_{x}$ = 5

= 625

551

= 50

SSry

The coefficient of determination:

R² = SSR/SST

Where,

SSR = $ss_{xy}^{2}$ / $ss_{x}$

= 50² / 5

= 500

SST = = 625

551

By substituting all values in R² then we get ,

R² = SSR/SST

R² = 500 /625

R² = 0.8

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