Which of the following is the correct interpretation of the r-0.75 r2-0.5625 for

Question

Which of the following is the correct interpretation of the r-0.75 r2-0.5625 for this model? 18 16 12 O 10 6 85 % HS grad 80 90 Select one O a. 56.25% of the time % HS graduates predict % living in poverty correctly O b. 75% of the variability in the % of residents living in poverty among the 51 states is explained by the model O c. 56.25% of the variability in the % of residents living in poverty among the 51 states is explained by the model O d. 56.25% of the variability in the % of HS graduates among the 51 states is explained by the model

Explanation / Answer

Solution:

From graph we can see,

Y ----> Response variable : % in Poverty

X -----> Predictor : % HS Grad

Given R2 = 0.5625 = 56.25%

Interpretation : 56.25 % of the variability in the % of residents living in poverty among the 51 states is explained by the model.

Hence option c is correct

Done

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