Question

Please I need help!!

Answer 1

The regression equation which correctly models the data in this table is y = 1.49x - 107.5,

How to determine the regression equation?

From the table of data values, we have the following parameters:

∑x = 632

∑y = 404

∑x² = 80.142

∑xy = 51.448

Mathematically, the regression equation is represented by the following slope equation:

y = Bx + A

Next, we would determine A by using this expression:

A = (∑y·∑x² - ∑x·∑xy)/(n∑x² - (∑x)²)

A = (404×80,142 - 632×51,448)/(5×∑x² - (632)²)

A = (32,377,368 - 32,515136)/(5×80142 - 399,424)

A = -137,768/1286

A = 107.5

For B, we have:

B = (n∑xy· - ∑x·∑y)/(n∑x² - (∑x)²)

B = (5×51,448 - 632×404)/(5×∑x² - (632)²)

B = 1.49.

y = Bx + A

y = 1.49x - 107.5

Read more about regression equation here: brainly.com/question/28037520

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