A statistical program is recommended. Consider the following data for a dependent variable y and two independent variables, x, and x3. X2 30 12 94 47 10 108 25 17 112 51 16 178 94 51 19 175 170 36 12 117 59 13 142 76 16 211 The estimated regression equation for the data is ý = -18.4 + 2.01x, + 4.74x2. (a) Develop a 95% confidence interval for the mean value of y when x, = 51 and x, = 16. (Round your answers to three decimal places.) to (b) Develop a 95% prediction interval for y when x, = 51 and x, = 16. (Round your answers to three decimal places.) to 40 74
A statistical program is recommended. Consider the following data for a dependent variable y and two independent variables, x, and x3. X2 30 12 94 47 10 108 25 17 112 51 16 178 94 51 19 175 170 36 12 117 59 13 142 76 16 211 The estimated regression equation for the data is ý = -18.4 + 2.01x, + 4.74x2. (a) Develop a 95% confidence interval for the mean value of y when x, = 51 and x, = 16. (Round your answers to three decimal places.) to (b) Develop a 95% prediction interval for y when x, = 51 and x, = 16. (Round your answers to three decimal places.) to 40 74
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 5E
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Transcribed Image Text:A statistical program is recommended.
Consider the following data for a dependent variable y and two independent variables, x, and x,.
X1
X2
12
94
47
10
108
25
17
112
51
16
178
40
94
51
19
175
7
170
36
12
117
59
13
142
76
16
211
The estimated regression equation for the data is
ý = -18.4 + 2.01x, + 4.74x2.
(a) Develop a 95% confidence interval for the mean value of y when x, = 51 and x, = 16. (Round your answers to three decimal places.)
to
(b) Develop a 95% prediction interval for y when x, = 51 and x, = 16. (Round your answers to three decimal places.)
to
30
74
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