Question

In: Statistics and Probability

Find the regression equation for the following data set x 143 167 143 189 175 174...

Find the regression equation for the following data set
x 143 167 143 189 175 174 134 155
y 20 80 72 69 44 59 51 63

-0.33x + 5.23

0.33x – 5.23

0.33x + 5.23

cannot be determined

Expert Solution

X = 1280, y = 458 , X y = 74122 , X² = 207390.

The equation of regression line is

y = x +

Where

= [ y * X² - X * Xy ] / [ n X² - ( X)² ]

= [ 458 * 207390 - 1280 * 74122 ] / [ 7 * 207390 - 1280² ]

= 5.23

= [ n * Xy - X * y ] / [ n X² - ( X)² ]

= [ 7 * 74122 - 458 * 1280 ] / [ 7 * 207390 - 1280² ]

= 0.33

The equation of regression line is

Y = 0.33 x + 5.23

orchestra answered 1 year ago

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