Question

If y is the dependent variable and x is the independent variable. And if the sum of the cross product of the deviations is ?(x - x?)(y - y?) = -54, and also if 3.46 and 2.67 are the standard deviations for the independent and dependent variables, respectively, and we have a sample size of 10, what is the correlation coefficient between x and y? Note: 1- Do not round intermediate numbers. 2- Round your final answer to 2 decimal places.

          If y is the dependent variable and x is the independent variable. And if the sum of the cross product of the deviations is ?(x - x?)(y - y?) = -54, and also if 3.46 and 2.67 are the standard deviations for the independent and dependent variables, respectively, and we have a sample size of 10, what is the correlation coefficient between x and y?

Note:
1- Do not round intermediate numbers.
2- Round your final answer to 2 decimal places.

If y is the dependent variable and x is the independent variable. And if the sum of the cross product of the deviations is ?(x - x?)(y - y?) = -54, and also if 3.46 and 2.67 are the standard deviations for the independent and dependent variables, respectively, and we have a sample size of 10, what is the correlation coefficient between x and y?

Note:
1- Do not round intermediate numbers.
2- Round your final answer to 2 decimal places.

Added by Nathan S.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Ameer Said

02/07/2022

Step 1

Step 1: Calculate the correlation coefficient using the formula: \[ r = \frac{\sum (X - \bar{X})(Y - \bar{Y})}{\sqrt{\sum (X - \bar{X})^2 \sum (Y - \bar{Y})^2}} \] Show more…

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If Y is the dependent variable and X is the independent variable, and if the sum of the cross product of the deviations is Σ(x - x̄)(y - ȳ) = -54, and also if 3.46 and 2.67 are the standard deviations for the independent and dependent variables, respectively, and we have a sample size of 10, what is the correlation coefficient between X and Y? Note: 1- Do not round intermediate numbers. 2- Round your final answer to 2 decimal places.