A regression line has a slope of 1.885 if the mean of the x-coordinates of the data points is 3448 and the means of the y-coordinates is 12.312 what is the y-itercept of the line to three decimal places

Respuesta :

Answer:

The value of the slope c is -6,487.168

Step-by-step explanation:

In this question, we are told to find the y-intercept of a regression line model.

Mathematically, a regression model having a single dependent variable y and a single independent variable x can be represented by the equation of a straight line.

This is the same as;

y = mx + c

where m is the slope and c is the y intercept

Now from the question, we know we are to calculate c , where y is the mean of the y-coordinates at a value of 12.312, where x is also the mean of the x-coordinates at a value of 3448 and an m-value which is the slope at 1.885

We plug these values into the straight line equation to yield;

12.312 = 1.885(3448) + c

c = 12.312 - 1.885(3448)

c = 12.312 - 6,499.48

c = -6,487.168

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