Question

Here is a bivariate data set. Find the regression equation for the response variable y.

x	y
53.6	37
63.5	52.6
56.2	40.5
95.3	73.3
31.4	13.3
52.9	26.3
61.6	48.7
62.6	46.5
55.7	34.2
48.6	26.9
56.7	38.2
42.4	22.5
61.6	46.3
35.1	25.2
90.3	71.7
78.1	48.6
72.8	54.6

regression equation:

Enter the equation in slope-intercept form with parameters accurate to three decimal places.

Answer 1

Here we have data:

X	Y
53.6	37
63.5	52.6
56.2	40.5
95.3	73.3
31.4	13.3
52.9	26.3
61.6	48.7
62.6	46.5
55.7	34.2
48.6	26.9
56.7	38.2
42.4	22.5
61.6	46.3
35.1	25.2
90.3	71.7
78.1	48.6
72.8	54.6

Here we are using excel for calculation:

Scatter plot:

80 70 y 0.9166x-13.354 R2 0.9125 60 50 40 20 10 35 75 25 45 55 65 85 95 105 30

Regression equation:

Y = -13.354 + 0.917X