A statistical program is recommended. Consider the following data for a dependent variable y and two independent variables, x1 and x2. x1 x2 y 30 12 94 47 10 108 25 17 112 51 16 178 40 5 94 51 19 175 74 7 170 36 12 117 59 13 142 76 16 211 (a) Develop an estimated regression equation relating y to x1. (Round your numerical values to one decimal place.) y=_______________. Predict y if x1 = 51. (Round your answer to one decimal place.) (b) Develop an estimated regression equation relating y to x2. (Round your numerical values to one decimal place.) ŷ =____________ Predict y if x2 = 16.(Round your answer to one decimal place.) c) Develop an estimated regression equation relating y to x1 and x2.(Round your numerical values to one decimal place.) ŷ =______________. Predict y if x1 = 51 and x2 = 16.(Round your answer to one decimal place.) _________.
A statistical program is recommended. Consider the following data for a dependent variable y and two independent variables, x1 and x2. x1 x2 y 30 12 94 47 10 108 25 17 112 51 16 178 40 5 94 51 19 175 74 7 170 36 12 117 59 13 142 76 16 211 (a) Develop an estimated regression equation relating y to x1. (Round your numerical values to one decimal place.) y=_______________. Predict y if x1 = 51. (Round your answer to one decimal place.) (b) Develop an estimated regression equation relating y to x2. (Round your numerical values to one decimal place.) ŷ =____________ Predict y if x2 = 16.(Round your answer to one decimal place.) c) Develop an estimated regression equation relating y to x1 and x2.(Round your numerical values to one decimal place.) ŷ =______________. Predict y if x1 = 51 and x2 = 16.(Round your answer to one decimal place.) _________.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 6PPS
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Question
A statistical program is recommended.
Consider the following data for a dependent variable y and two independent variables,
x1
and
x2.
|
x1 |
x2 |
y |
|---|---|---|
| 30 | 12 | 94 |
| 47 | 10 | 108 |
| 25 | 17 | 112 |
| 51 | 16 | 178 |
| 40 | 5 | 94 |
| 51 | 19 | 175 |
| 74 | 7 | 170 |
| 36 | 12 | 117 |
| 59 | 13 | 142 |
| 76 | 16 | 211 |
(a)
Develop an estimated regression equation relating y to
x1. (Round your numerical values to one decimal place.)
y=_______________.
Predict y if
x1 = 51. (Round your answer to one decimal place.)
(b)
Develop an estimated regression equation relating y to
x2.
(Round your numerical values to one decimal place.)
ŷ =____________
Predict y if
x2 = 16.(Round your answer to one decimal place.)
c)
Develop an estimated regression equation relating y to
x1 and x2.(Round your numerical values to one decimal place.)
ŷ =______________.
Predict y if
x1 = 51
and
x2 = 16.(Round your answer to one decimal place.)
_________.
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