Question

The following table show the systolic blood pressure and the diastolic blood pressure readings for six adults:

Show formulas used and how each determination/sum is calculated.

Systolic (X) 110, 153, 120, 143, 100, 112

Diastolic (Y) 70, 110, 80, 98, 70, 75

a) Determine the linear correlation coefficient (r)

b) At alpha equal to 0.05, determine whether a correlation exists (test R)

c) Determine the regression equation and determine the standard error.

d) Estimate the diastolic blood pressure for an adult with systolic blood pressure readings of 115, 127, 108 and 131

f) Draw the bell curve if applicable.

Answer 1

a) The formula of correlation coefficient is:

Here, putting all the values, we get r=0.984298

b)

Test statistic :

c) ​​​​​​

Here, a=-12.9829

b=0.7871

Regression Equation :

y=-12.9829+0.7871x

Please mention whose standard error is needed.

d) To estimate value of Y for a given value of X:

y=-12.9829+(0.7871*115)=77.5336,for X=115

For X=127

y=-12.9829+(0.7871*127)=86.9788

For X=108

y=-12.9829+(0.7871*108)=72.0239

For X=131

y=-12.9829+(0.7871*131)=90.1272