Question

find the equation of the regression line for the given data.

x	y
430	150
480	170
320	130
380	120
290	70
530	180

Predict the value of

Y for x=180

x=100

x=140

x=210

Answer 1

solution:-
the regression line is
y^ = 0.393 x −22.693
explanation:-

y^ = b x + a
y^ = 0.393 x - 22.693

Predict the value of Y
x = 180
=> y^ = 0.393(180) - 22.693
=> y^ = 48.0

x = 100
=> y^ = 0.393(100) - 22.693
=> y^ = 16.6

x = 140
=> y^ = 0.393(140) - 22.693
=> y^ = 32.3

x = 210
=> y^ = 0.393(210) - 22.693
=> y^ = 59.8