Question

The accompanying table shown here display 12 observations of a pair of variables (x, y).

The variables x and y are positively correlated, with a correlation coefficient of r = 0.96.

You estimate the slope of the least squares regression line, y = a + bx, for these data values to be b = 1.7. What is the y-intercept, a, of the least squares regression line? Round your answer to the nearest tenth.

x 3 6 8 9 9 13 15 18 20 21 23 23
y 9 17 15 15 18 24 29 36 43 39 46 35

Answer 1

y = a + bx
b = 1.7
y = a + 1.7x

Answer 2

So do i take one of the x,y values and plug them into the equation ?