An article in the Journal of Sound and Vibration described a study on the relationship between noise exposure and hypertension. The noise exposure is measured by the Sound Pressure Level (SPL) whereas hypertension is measured by the Blood Pressure Rise (BPR). A representative data set reported is as follows: SPL 60 63 65 70 70 70 80 90 80 80 85 89 90 BPR 1 2 5 4 3 5 4 6 2. 1. 1.

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An article in the Journal of Sound and Vibration described a study on the relationship
between noise exposure and hypertension. The noise exposure is measured by the
Sound Pressure Level (SPL) whereas hypertension is measured by the Blood Pressure
Rise (BPR). A representative data set reported is as follows:
SPL
60
63
65
70 70
70
80 90 80 80 85 89 90
ВPR
1
5
1
4
6
3
5
4
y
SPL
90 90 90
94 100 100 100
ВPR
4
y
(a)
Calculate sample mean, sample variances and sample covariance.
(b)
Write the fitted simple linear regression model for the above data.
(c)
Compute the coefficient of correlation.
(d)
Is it sufficient evidence to indicate that there is linear correlation between noise
exposure and hypertension?
Predict the value ofhypertension when noise exposure is 75.
6.
2.
6.
7.
1.
5.
Transcribed Image Text:An article in the Journal of Sound and Vibration described a study on the relationship between noise exposure and hypertension. The noise exposure is measured by the Sound Pressure Level (SPL) whereas hypertension is measured by the Blood Pressure Rise (BPR). A representative data set reported is as follows: SPL 60 63 65 70 70 70 80 90 80 80 85 89 90 ВPR 1 5 1 4 6 3 5 4 y SPL 90 90 90 94 100 100 100 ВPR 4 y (a) Calculate sample mean, sample variances and sample covariance. (b) Write the fitted simple linear regression model for the above data. (c) Compute the coefficient of correlation. (d) Is it sufficient evidence to indicate that there is linear correlation between noise exposure and hypertension? Predict the value ofhypertension when noise exposure is 75. 6. 2. 6. 7. 1. 5.
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