In the regression line y = a + b x, what is the slope b if the line is y = 1 + 2x?

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Multiple Choice

In the regression line y = a + b x, what is the slope b if the line is y = 1 + 2x?

Explanation:
In this regression form, the slope is the coefficient in front of x. So in y = 1 + 2x, the coefficient of x is 2, which means the slope b is 2. This implies y increases by 2 for every one-unit increase in x, while the intercept is 1. A slope of 0 would mean no change, a slope of 1 would be less steep, and a negative slope would slope downward.

In this regression form, the slope is the coefficient in front of x. So in y = 1 + 2x, the coefficient of x is 2, which means the slope b is 2. This implies y increases by 2 for every one-unit increase in x, while the intercept is 1. A slope of 0 would mean no change, a slope of 1 would be less steep, and a negative slope would slope downward.

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