the equation that best models the linearized data for a particular data set is log y=-0.02396x+4.8153.
a. what does the number -0.02396 tell you about the pattern exhibited by the points in the scatterplot of the original data set?
b. based on the equation, what is the value of y when x=0? show your work.
a. The number -0.02396 is the slope of the linearized equation, which means that for every increase in x by 1 unit, the corresponding y is expected to decrease by a factor of 10 raised to the power of -0.02396. In other words, the pattern exhibited by the points is a decreasing exponential function.
b. When x=0, the right side of the equation evaluates to log y = 4.8153. This can be rewritten as:
y = 10^(4.8153)
Using a calculator, we get:
y ≈ 6,868.544
Therefore, when x=0, the predicted value of y is approximately 6,868.544.