(c) Find the sample correlation coefficient r and the sample coefficient of determination . (Round your answers to three decimal places.) r= 12 =| Explain the meaning of 2 in the context of the application. (Round your answer to one decimal place.) % of the variance in blood glucose level -Select--- is explained by the model and the variance in blood glucose level --Select-- (d) If x = 7.0, use the least-squares line to predict y. (Round your answer to two decimal places.) y =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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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.
Ex = 63.9; Ex2 = 523.59; Ey = 89.4; Ey = 1040.08; Exy = 730.31
8.1
14.2
6.2
8.6
7.0
7.5
6.8
10.0
9.7
9.3
10.4
10.5
11.7
7.0
14.1
12.2
(a) Find the equation of the least-squares line. (Round your answers to three decimal places.)
ŷ =
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. Ex = 63.9; Ex2 = 523.59; Ey = 89.4; Ey = 1040.08; Exy = 730.31 8.1 14.2 6.2 8.6 7.0 7.5 6.8 10.0 9.7 9.3 10.4 10.5 11.7 7.0 14.1 12.2 (a) Find the equation of the least-squares line. (Round your answers to three decimal places.) ŷ =
(c) Find the sample correlation coefficientr and the sample coefficient of determination 2. (Round your answers to three decimal places.)
2 =
Explain the meaning of r2 in the context of the application. (Round your answer to one decimal place.)
% of the variance in blood glucose level
--Select---
v is explained by the model and the variance in blood glucose level
---Select---
(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 p is not zero. (Round your test statistic to three decimal places.)
t =
Transcribed Image Text:(c) Find the sample correlation coefficientr and the sample coefficient of determination 2. (Round your answers to three decimal places.) 2 = Explain the meaning of r2 in the context of the application. (Round your answer to one decimal place.) % of the variance in blood glucose level --Select--- v is explained by the model and the variance in blood glucose level ---Select--- (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 p is not zero. (Round your test statistic to three decimal places.) t =
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