If the equation of the regression line is y = 4.964 + 0.939x, how can it be interpreted?

Question

If the equation of the regression line is y = 4.964 + 0.939x, how can it be interpreted?

Select one:

a. The slope of the line is .0.939

b. Every unit of change in the value of x, the value of y also changes at 0.939 unit on average

c. Every unit of change in the value of y, the value of x also changes at 4.964 units on average

d. No Answer

e. Every unit of change in the value of x, the value of y also changes at 4.964 units on average

Answer 1

Answer is a. the slope

The regression line is just a basic linear function in point slope form that we learned in Algebra .

y= mx+ b

Only difference is that the regression line has decimal values that are regular scalars like 1,2,5, .... in front of the x variable and also a value for b

The slope here is 0.939 which means the regression line here is an increasing constant slope line that has less than a 45 degree angle in respect to the x axis ( where a slope = 1= 1/1 is directly at 45 degrees with respect to x axis)