Question: whats the correlation for thi Answer & explanation Generated by AI To determine the coefficients of correlation (rr) and determination (r2r2) for the given data
whats the correlation for thi Answer & explanation Generated by AI To determine the coefficients of correlation (rr) and determination (r2r2) for the given data set, we will follow these steps: Steps Calculate Means: Calculate the mean of the years (xx). Calculate the mean of the revenues (yy). Compute the Sums: Sum of (xix)(yiy)(xix)(yiy). Sum of (xix)2(xix)2. Sum of (yiy)2(yiy)2. Calculate the Correlation Coefficient (rr): r=(xix)(yiy)(xix)2(yiy)2 r=(xix)2(yiy)2 (xix)(yiy) Calculate the Coefficient of Determination (r2r2): r2=r2 r2=r2 Calculations Data Years (x): 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012 Revenue (y): 3.74, 4.1, 4.01, 3.93, 4.6, 4.44, 4.04, 3.83, 2.59, 3.78, 4.42, 4.81 Means x=2006.5x=2006.5 y=4.0025y=4.0025 Sums Sum of (xix)(yiy)=10.025(xix)(yiy)=10.025 Sum of (xix)2=143(xix)2=143 Sum of (yiy)2=6.46215(yiy)2=6.46215 Correlation Coefficient (rr) r=10.0251436.46215=10.02530.3440.3305 r=1436.46215 10.025=30.34410.0250.3305 Coefficient of Determination (r2r2) r2=(0.3305)20.1092 r2=(0.3305)20.1092 Interpretation Correlation Coefficient (rr): Approximately 0.3305, indicating a low positive correlation. Coefficient of Determination (r2r2): Approximately 0.1092, meaning about 10.92% of the variability in revenue can be
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