The INTERSALT Study investigators collected standardized data on timed 24-hour u

Question

The INTERSALT Study investigators collected standardized data on timed 24-hour urinary excretion for 10,079 men and women from 52 population samples in 32 countries. One of the goals of the INTERSALT study was to quantify the relationship between 24-hour urinary Na (y) and estimated 24-hour urinary Na (x) obtained from casual urine specimens at one point in time. The investigators presented a simple linear regression of y on x, separately for men and women. The regression equration for men was:

Y=1.03x-7.19, with R2 = 0.27, n=1369

What is the estimated standard error of the slope estimate?

Explanation / Answer

R2 = 0.27

n = 1369

so as per pearson correlation coefficient relation

test statistic

t = r sqrt [ (n-2)/ (1 - r2)]

t = 0.27 * sqrt [ (1369 -2)/ (1 - 0.272)]

t = 0.27 * 38.4

t = 10.368

so here standrd error of slope estimate = slope coefficient/ Test statistic = 1.03/ 10.368 = 0.0993

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