Question

In: Statistics and Probability

Listed below are systolic blood pressure measurements​ (in mm​ Hg) obtained from the same woman. Find...

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 80 mm Hg. Use a significance level of 0.05.

Right Arm 103 102 94 75 74
Left Arm 177 170 146 143 144

The regression equation is y = ____+_____x. ​(Round to one decimal place as​ needed.)
Given that the systolic blood pressure in the right arm is 80 mm​ Hg, the best predicted systolic blood pressure in the left arm is _______mm Hg.
​(Round to one decimal place as​ needed.)

Solutions

Expert Solution

Given Data:

Left Arm (y) Right Arm (x)
103 177
102 170
94 146
75 143
74 144

The regression equation can be determined using excel by using the following steps:

Step 1: Put the data onto the spreadsheet

Step 2: Go to data --> data analysis --> regression

Step 3: Select the data and get the output

The regression equation is:

y = -27.47 + 0.75x

The predicted systolic pressure in the left arm when right arm has 80 mm hg

y = -27.47 + 0.75 * 80 = 32.53 mm Hg

Given that the systolic blood pressure in the right arm is 80 mm​ Hg, the best predicted systolic blood pressure in the left arm is ____32.5___mm Hg.


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