Concept explainers
To find: which of the following equations represents the best model for a data set consisting of the points (-2,6),(-1,4),(0,3),(1,1),(2,-1).
(A)
(C)
Answer to Problem 2STP
(B)
Explanation of Solution
Given information:
The points (-2,6),(-1,4),(0,3),(1,1),(2,-1).
Calculation:
Using the regression calculator on the given points (-2,6),(-1,4),(0,3),(1,1),(2,-1).
The best model for the data set is:
Sum of x = 0
Sum of y = 13
Mean x = 0
Mean y = 2.6
Sum of squares ( SSx ) = 10
Sum of products (SP) = -17
Regression Equation = y = bx + a
b = SP/ SSx = -17/10 = -1.7
a = My - bMx = 2.6 - (-1.7*0) = 2.6
y = -1. 7x + 2.6.
Hence, the equation represents the best model for a data set consisting of the points
(-2,6),(-1,4),(0,3),(1,1),(2,-1) is (B)
Chapter 6 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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