Answer :
Final answer:
The units of the y-intercept match the units of your dependent variable because it represents the starting point when the independent variable equals zero, in this case, it is Degrees Fahrenheit.
Explanation:
In a simple linear regression model, the units of the intercept and the slope depend on the variables being measured. In the equation y = mx + b, where 'y' is the dependent variable, 'x' is the independent variable, 'm' is the slope, and 'b' is the y-intercept. Let's assume 'x' is measured in Celsius and 'y' is measured in Fahrenheit.
The slope 'm' represents the change in 'y' for a unit change in 'x'. Hence, the units of the slope would be $/degree Fahrenheit because it shows how the dependent variable changes with each unit of the independent variable. The slope represents the rate of change between the two variables.
The y-intercept 'b' is the value of 'y' when 'x' equals zero. Therefore, its units would be the same as the units of 'y', which in this case is Degrees Fahrenheit. This is because it represents the starting point of the line when 'x' equals zero.
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