BUSINESS ADMINISTRATION
RESEARCH METHODOLOGY
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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45%
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81%
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1.8%
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0.81%
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Detailed explanation-1: -The correct option is (a) i.e. 64%. If a correlation of 0.8 is observed between two variables X and Y, then a linear regression model attempting to explain either variable in terms of the other variable will account for 64% of the variability in the data.
Detailed explanation-2: -The correlation r measures the strength of the linear relationship between two quantitative variables. Pearson r: r is always a number between-1 and 1. r > 0 indicates a positive association.
Detailed explanation-3: -r = 1 means there is perfect positive correlation. r =-1 means there is a perfect negative correlation.
Detailed explanation-4: -Answer and Explanation: The proportion of variance in exam scores that can be explained by time spent studying is the coefficient of determination r2 . As the correlation coefficient corresponds to r=0.7, the coefficient of determination is r2=(0.7)2=0.49 r 2 = ( 0.7 ) 2 = 0.49 .