12 is Question: 1 pt 14 of 16 (1, complete) This Quiz: 18 pls possible Eight dif
ID: 3350319 • Letter: 1
Question
12 is Question: 1 pt 14 of 16 (1, complete) This Quiz: 18 pls possible Eight different medical students took biood pressure measurements of the same patient and the results are listed below The regression equation is the same -45 390058 +0.990546x and the standard error of the estimate is 3.1048 Assume that the necessary conditions of normality and vaniance are met, and answer parts a and b. 121 79 systolic () 140 95 133 84 136 91 139 92 121 130 90 diastolic (y) a. Find the predicted diastoc reading gven that the systolic reading is 135 [I (Round to three decimal places as needed.) b. Find a 95% prediction interval estimate of the diastolic reading given that the systolic reading .135 80 Round to one decimal place as needed.) Enter your answer in each of the answer boxes ype here to searoExplanation / Answer
Regression Line Equation is -
Y= -45.39+0.9905X
Where X is Systolic and Y is Diastolic
a) X=135
Substitute in the equation-
Y= -45.39+0.9905*135 = 88.3275
b)
The 95% CI will be Y+-SE(Y)*T-Crtitical
T-Critical at 7 df will be 2.365 at 95% level of confidence
SE = 0.15
So, 95% CI= 88.32-+(2.365*0.15)= (87.8,88.7)
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