Nancy is curious if the consumption of sweets, mainly donuts, increases as people get older. Nancy asked 200 customers at a local Krispy Kreme how many donuts they eat in a month, y, and recorded their age, x. She obtained the following regression line y=47-1.36x. What is the meaning of the slope of this regression line

The slope means that the number of donuts reduces by 1.36 as people get older.

A linear equation is in the form:

y = mx + b;

where y, x are variable, m is the slope of the line and b is the y intercept.

Let y represent the number of donut ate by the customers in a month and x represent their age

Given the regression line:

y = 47 - 1.36x

The slope means that the number of donuts reduces by 1.36 as people get older.

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Step-by-step explanation:

Given that:

Number of donuts consumed in a month = y

Age = x

Regression equation obtained :

y=47-1.36x

Meaning of slope of the regression line ;

Comparing the regression equation obtained with the general equation of a linear regression line ;

y = mx + c; where m = slope of the regression line

Hence, the value of slope in the equation is = - 1.36

Thus, the slope can be interpreted as ; The number of donuts consumed in a month is expected to decrease by 1.36 for per(1) increase in age x of consumer.

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