In: Statistics and Probability
The data show systolic and diastolic blood pressure of certain people. Find the regression equation, letting the systolic reading be the independent (x) variable. Find the best predicted diastolic pressure for a person with a systolic reading of
127127.
Is the predicted value close to
96.696.6,
which was the actual diastolic reading? Use a significance level of 0.05.
Systolic |
135135 |
125125 |
114114 |
143143 |
130130 |
135135 |
126126 |
117117 |
|
---|---|---|---|---|---|---|---|---|---|
Diastolic |
9898 |
6868 |
8282 |
102102 |
7070 |
101101 |
9494 |
5858 |
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Click the icon to view the critical values of the Pearson correlation coefficient r.
What is the regression equation?
ModifyingAbove y with caretyequals=negative 72.09−72.09plus+1.221.22x
(Round to two decimal places as needed.)What is the best predicted diastolic pressure for a person with a systolic reading of
127127?
The best predicted diastolic pressure for a person with a systolic reading of
127127
is
nothing.
Solution :
Given that systolic x as 135,125,114,143,130,135,126,117
diastolic y as 98,68,82,102,70,101,94,58
=> The regression equation is y = -72.09 + 1.22*x (rounded)
==> The best predicted diastolic pressure for a person with a systolic reading of 127 is
=> y = -72.09 + 1.22*127 = 82.85