MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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.
Σχ - 64.2; Σ ?
= 528.24; Ey = 90.4; Ey² = 1063.88; Exy = 741.77
6.2
8.6
7.0
7.5
8.3
6.9
10.0
9.7
y
9.7
10.3
10.9
11.5
14.2
7.0
14.6
12.2
Find the equation of the least-squares line. (Round your answers to three decimal places.)
Find the sample correlation coefficient r and the sample coefficient of determination r. (Round your answers to three decimal places.)
r =
2 =
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
Use level of significance 1% and test the claim that the population correlation coefficient p is not zero. (Round your test statistic to three decimal places.)
t =
Find an 85% confidence interval for the slope B of the population-based least-squares line. (Round your answers to three decimal places.)
lower limit
upper limit
expand button
Transcribed Image Text: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. Σχ - 64.2; Σ ? = 528.24; Ey = 90.4; Ey² = 1063.88; Exy = 741.77 6.2 8.6 7.0 7.5 8.3 6.9 10.0 9.7 y 9.7 10.3 10.9 11.5 14.2 7.0 14.6 12.2 Find the equation of the least-squares line. (Round your answers to three decimal places.) Find the sample correlation coefficient r and the sample coefficient of determination r. (Round your answers to three decimal places.) r = 2 = 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 Use level of significance 1% and test the claim that the population correlation coefficient p is not zero. (Round your test statistic to three decimal places.) t = Find an 85% confidence interval for the slope B of the population-based least-squares line. (Round your answers to three decimal places.) lower limit upper limit
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