Respuesta :
The value is closest to the predicted value of the response variable for x=4.8 is 1.26
The question requires you to substitute the value of x=4.8 in the least-squares regression line
The equation given is log (y)= 7.3 - 1.5x
Replacing x with real value, 4.8 you will have;
log(y) = 7.3 - 1.5(4.8)
log(y)= 7.3-7.2
log(y)=0.1
y=10^0.1
y=1.258
The dependent variables on the y-axis and the independent variables on the x-axis are shown as a linear connection by a regression line. By examining the data pattern the variables' effects have created, the correlation is established. In a regression graph, the regression line that is closest to the data points is shown.
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Complete question is :
An exponential relationship exists between the explanatory variable and the response variable in a set of data. The common logarithm of each value of the response variable is taken, and the least-squares regression line has an equation of log(yˆ)=7.3−1.5xlog(y^)=7.3−1.5x. Which value is closest to the predicted value of the response variable for x=4.8x=4.8 ?
