Q4: In an experiment on a new drug for allergy, a sample of ten patients was selected and each given a dose (in milligrams) of the drug and the number of days of relief from allergy observed. The data obtained is given below: Dose ( z ) Days of relief ( y ) 9 5 12 9 14 16 22 18 24 22 3 3 4 5 6 6 7 8 8 9 Ev = 151 E# = 389 E = 2651 Στυ- 1003 (a) Find the equation of the least squares line. (b) Explain the meaning of the value of the slope you obtained in this problem. (c) Calculate and interpret the coefficient of determination. (d) Predict the number of days of relief for a patient who were given 8 milligrams of the drug. (e) Does the data indicate that the number of days of relief and the dose are positively correlated? (Use a = 0.05)
Q4: In an experiment on a new drug for allergy, a sample of ten patients was selected and each given a dose (in milligrams) of the drug and the number of days of relief from allergy observed. The data obtained is given below: Dose ( z ) Days of relief ( y ) 9 5 12 9 14 16 22 18 24 22 3 3 4 5 6 6 7 8 8 9 Ev = 151 E# = 389 E = 2651 Στυ- 1003 (a) Find the equation of the least squares line. (b) Explain the meaning of the value of the slope you obtained in this problem. (c) Calculate and interpret the coefficient of determination. (d) Predict the number of days of relief for a patient who were given 8 milligrams of the drug. (e) Does the data indicate that the number of days of relief and the dose are positively correlated? (Use a = 0.05)
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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Transcribed Image Text:Q4: In an experiment on a new drug for allergy, a sample of ten patients was selected and
each given a dose (in milligrams) of the drug and the number of days of relief from allergy
observed. The data obtained is given below:
Dose ( r)
6
7 8 8 9
4 5
Days of relief (y )9 5 12 9 14 16 22 18 24 22
3 3
6
"= 59 Συ- 151Σ" = 39 Σύ - 651 Σ
= 1003
(a) Find the equation of the least squares line.
(b) Explain the meaning of the value of the slope you obtained in this problem.
(c) Calculate and interpret the coefficient of determination.
(d) Predict the number of days of relief for a patient who were given 8 milligrams of the
drug.
(e) Does the data indicate that the number of days of relief and the dose are positively
correlated? (Use a = 0.05)
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