Let x be a random variable that represents blood glucose level after a 12-hour fast. Let y be a random variable representing blood glucose level 1 hour after drinking sugar water (after the 12-hour fast). Units are in milligrams per 10 milliliters (mg/10 ml). A random sample of eight adults gave the following information. Σx = 63.8; Σx2 = 520.96; Σy = 89.8; Σy2 = 1046.96; Σxy = 731.35 x 6.2 8.7 7.0 7.5 8.1 6.9 10.0 9.4 y 9.7 10.8 10.5 11.3 14.2 7.0 14.1 12.2     (c) Find the sample correlation coefficient r and the sample coefficient of determination r2. (Round your answers to three decimal places.) r =   r2 =     (d) If x = 7.0, use the least-squares line to predict y. (Round your answer to two decimal places.) y = Find an 80% confidence interval for your prediction. (Round your answers to two decimal places.) lower limit     mg/10 ml upper limit     mg/10 ml (e) Use level of significance 1% and test the claim that the population correlation coefficient ρ is not zero. (Round your test statistic to three decimal places.)

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Let x be a random variable that represents blood glucose level after a 12-hour fast. Let y be a random variable representing blood glucose level 1 hour after drinking sugar water (after the 12-hour fast). Units are in milligrams per 10 milliliters (mg/10 ml). A random sample of eight adults gave the following information.

Σx = 63.8; Σx2 = 520.96; Σy = 89.8; Σy2 = 1046.96; Σxy = 731.35
x 6.2 8.7 7.0 7.5 8.1 6.9 10.0 9.4
y 9.7 10.8 10.5 11.3 14.2 7.0 14.1 12.2
  
 
(c) Find the sample correlation coefficient r and the sample coefficient of determination
r2.
(Round your answers to three decimal places.)
r =  
r2 =  
  
(d) If
x = 7.0,
use the least-squares line to predict y. (Round your answer to two decimal places.)
y =


Find an 80% confidence interval for your prediction. (Round your answers to two decimal places.)
lower limit     mg/10 ml
upper limit     mg/10 ml

(e) Use level of significance 1% and test the claim that the population correlation coefficient ρ is not zero. (Round your test statistic to three decimal places.)
t =
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