The blood pressure X and the calcium level Y were

impresijuzj

impresijuzj

Answered question

2021-12-06

The blood pressure X and the calcium level Y were measured on a random sample of 38 persons. Based on this data, the estimated regression line is given by:
y^=1.9+1.696x
The sample standard deviations are sx=0.46 and xy=1.531. Find the sample correlation between the variables X and Y.

Answer & Explanation

Troy Lesure

Troy Lesure

Beginner2021-12-07Added 26 answers

Step 1
Given
Blood Pressure - X
Calcium level - Y
The regression equation is
y^=1.9+1.696x
sx=0.46
sy=1.531
The slope of regression equation is b=1.696
The relation between slope and correlation coefficient is shown below
b=r×sysx
Step 2
Substituting the values we get the following
b=r×sysx
1.696=r×1.5310.46
r=1.696×0.461.531=0.5096
The correlation coefficient between variables X and Y is 0.5096

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