Use the given data to find the equation of the regression line. Round to 3 signi
ID: 3317919 • Letter: U
Question
Use the given data to find the equation of the regression line. Round to 3 significant digits, if necessary.
Detailed equation please
The relationship between the cost of a taxi ride (y) and the length of the ride (x) is analyzed. The mean length was 4.6 km with a standard deviation of 1.1. The mean cost was $8.70 with a standard deviation of 2.0. The correlation between the cost and the length was 0.81.
= -458 + 101 length
= 6.65 + 0.446 length
= 1.93 + 1.47 length
= -113 + 26.5 length
= 0.336 + 1.82 length
Explanation / Answer
Ans:
Given that
x=length
y=cost
sx=1.1
sy=2
correlation coff,r=0.81
slope,b=r*sy/sx=0.81*2/1.1=1.47
y-intercept,a=(mean of y-b*mean of x)
=8.7-1.47*4.6=1.93
Regression eqn:
y'=cost=1.93+1.47*length
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