A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a salesperson makes and the amount of sales dollars earned.


A regression ANOVA shows the following results:


ANOVA df SS MS F Significance F


Regression 1. 00 13555. 42 13555. 42 156. 38 0. 00


Residual 8. 00 693. 48 86. 68


Total 9. 00 14248. 90


What is the value of the coefficient of correlation?

Respuesta :

The value of the coefficient of correlation is + 0.9754

Standard Error = √(SSE/n-2)

= √86.68

= 9.310

Coefficient of correlation = √(SSR/SST)

=√13555.42/14298.90

= 0.9754

r = + 0.9754

Coefficient of determination =

r² =  SSR/SST

= 13555.42/14298.90

= 0.9513

D = 0.9513

Hence the value of the coefficient of correlation is + 0.9754

The correlation coefficient is a factual proportion of the strength of a direct connection between two factors. Its qualities can go from - 1 to 1. A relationship coefficient of - 1 portrays an ideal negative, or converse, connection, with values in a single series ascending as those in the other decay, as well as the other way around. A coefficient of 1 shows an ideal positive connection or an immediate relationship. In a correlation coefficient of 0 methods, there is no direct relationship.

Correlation coefficients are utilized in science and in money to survey the level of relationship between two factors, variables, or informational indexes. For instance, since high oil costs are great for unrefined makers, one could expect the connection between's oil costs and forward returns on oil stocks is emphatically certain. Working out the correlation coefficient for these factors in light of market information uncovers a moderately inconsistent correlation over extended periods.

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