Test MA120 Fall 2 Quiz: Unit 8: Quiz Time 02:02:45 Sub This Question: 2 pts 3 of
ID: 3321104 • Letter: T
Question
Test MA120 Fall 2 Quiz: Unit 8: Quiz Time 02:02:45 Sub This Question: 2 pts 3 of 13 (0 This Quiz: 20 pts Find the predicted diastolic pressure for a person with a systolic reading of 113. Is the predicted value close to 98.5, which was the actual Giastolic reading? Use a significance le 0.05. 160 120 142 112 134 122 126 120 8896 10680 986396 64 ^"D:D(Round to two decimal places as needed.) y= (Round to one decimal place as needed.) O B. The predicted value is not close to the actual diastolic reacing. ° C. The predicted value is close to the actual diastolic reading.Explanation / Answer
A)The given values are
X
150
129
142
112
134
122
126
120
Y
88
96
106
80
98
63
95
64
X
Y
X^2
Y^2
XY
150
88
22500
7744
13200
129
96
16641
9216
12384
142
106
20164
11236
15052
112
80
12544
6400
8960
134
98
17956
9604
13132
122
63
14884
3969
7686
126
95
15876
9025
11970
120
64
14400
4096
7680
Total
1035
690
134965
61290
90064
Y = aX + b
Thus,
a = (690)(134965)-(1035)(90064)/(8(134965)-(1035)^2) = -90390/8495 = 10.64
b = (8(90064))-(1035)(690)/ (8(134965)-(1035)^2) = 6362/8495 = 0.75
Thus , Y = -10.64 + 0.75X
B) The best predicted diastolic pressure for a person with a systolic reading of 113
Thus, X = 113
Y = -10.64 + 0.75 (113) = 74.1
C) If the predicted value is 98.5 what is actual diastolic reading?
Actual vale obtained is 74.1 which is less than 98.5
Thus, Option B
X
150
129
142
112
134
122
126
120
Y
88
96
106
80
98
63
95
64
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