We want to investigate the correlation between concentration of Se (Selenium) in the teeth and its concentration in the liver in 20 Beluga Whales. 240 220 We suspect that the higher the concentration in the liver, the higher the concentration in the teeth. A plot of the data is given at right, and the following summary statistics are given for these data: 200 180 160 x = 20.68 Sx = 13.45 y = 156.60 Sy = 36.06 140 r = 0.54 Se = 31.25 120 Before actually computing its value (that is, by just looking at the scatterplot), how do we know that r > 0 (rather than r = 0 or r< 0)? 10 20 30 40 Liver Se (ug/g dry wt) Tooth Se (ng/g dry wt)

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We want to investigate the correlation between
concentration of Se (Selenium) in the teeth and
its concentration in the liver in 20 Beluga
240
220
Whales.
We suspect that the higher the
concentration in the liver, the higher the
concentration in the teeth. A plot of the data is
given at right, and the following summary
statistics are given for these data:
200
180
160
x = 20.68 Sx
= 13.45
y = 156.60
Sy
= 36.06
140
Se = 31.25
Before actually computing its value (that is, by just
looking at the scatterplot), how do we know that
r > 0 (rather than r = 0 or r < 0)?
r =
0.54
120
10
20
30
40
Liver Se (ug/g dry wt)
Tooth Se (ng/g dry wt)
Transcribed Image Text:We want to investigate the correlation between concentration of Se (Selenium) in the teeth and its concentration in the liver in 20 Beluga 240 220 Whales. We suspect that the higher the concentration in the liver, the higher the concentration in the teeth. A plot of the data is given at right, and the following summary statistics are given for these data: 200 180 160 x = 20.68 Sx = 13.45 y = 156.60 Sy = 36.06 140 Se = 31.25 Before actually computing its value (that is, by just looking at the scatterplot), how do we know that r > 0 (rather than r = 0 or r < 0)? r = 0.54 120 10 20 30 40 Liver Se (ug/g dry wt) Tooth Se (ng/g dry wt)
d) Estimate the approximate expected Tooth Se if Liver Se were 30.
e) Test the hypotheses Ho: B1 = 0, H4: B1 # 0 by finding a 95% confidence interval for B1.
%3D
(f) Test the hypotheses Ho:p = 0, Ha: P ± 0 using a t Test. Use a = 0.05.
Transcribed Image Text:d) Estimate the approximate expected Tooth Se if Liver Se were 30. e) Test the hypotheses Ho: B1 = 0, H4: B1 # 0 by finding a 95% confidence interval for B1. %3D (f) Test the hypotheses Ho:p = 0, Ha: P ± 0 using a t Test. Use a = 0.05.
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