Answer:
The slope of the line y = 1 is zero.
Check the attachment or picture for the completed worksheet.
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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Answer:
det(A)=-det(B)
Step-by-step explanation:
We have two matrices A, and B.
Matrix B is obtained by swapping rows 1 and 3 of matrix A.
Whenever we swap rows in matrices, the determinants does not change but the sign changes.
Therefore
det(A)=-det(B)
Also no two rows of of both matrices are the same, therefore
det(A)≠0, and det(B)≠0
Same-side interior angles where a transversal crosses parallel lines are supplementary:
The solutions to these equations can probably be done in your head:
- y = 180/(6+4) = 18
- x = (180-90)/5 = 18
The angles at the bottom of the figure, shown as different, are actually the same: 90°.
The angles at the top of the figure, shown as the same, are actually different: 108° on the left, 72° on the right.