The regression equation which correctly models the data in this table is y = 1.49x - 107.5,
<h3>How to determine the regression equation?</h3>
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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Yoo
180=interior angle of triangle so
angle TRS IS 180-9X as it is (angles on a straight line)
then angle RTS=5x
and angle TSR=9+x
180=180-9x+5x+9+x
180=-3x+189
180-189=-3x
-9=-3x
x=-9/-3
x=3
Cross multiply
20(x+1)=14(x-1)
20x+20=14x-14
Subtract 14x on each side giving you
6x+20=-14
Subtract 20 on each side giving you
6x=-34
x=-34/6. Simplifying that you get x=-17/3. I hope this helps!!!
Answer: The slope is 6/1. The rise is 6, and the run is 1.