Question

Listed below are systolic blood pressure measurements​ (in mm​ Hg) obtained from the same woman. Find the regression​ equation, letting the right arm blood pressure be the predictor​ (x) variable. Find the best predicted systolic blood pressure in the left arm given that the systolic blood pressure in the right arm is 100 mm Hg. Use a significance level of 0.05. Right Arm 102 101 94 79 79 Left Arm 175 170 145 146 144

Answer 1

X	Y	XY	X^2	Y^2
102	175	17850	10404	30625
101	170	17170	10201	28900
94	145	13630	8836	21025
79	146	11534	6241	21316
79	144	11376	6241	20736

Predicted Y = a +bx

From the above table and formula we get the value are as:

n	5
sum(XY)	71560.00
sum(X)	455.00
sum(Y)	780.00
sum(X^2)	41923.00
sum(Y^2)	122602.00

b	1.1197
a	54.1081

ycap= a +bx

Regression equation:

ycap= 54.1081 + 1.1197x

when x = 100

Predicted value = 54.1081 + 1.1197 * 100

= 166.0781

= approx 166