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:
-376
Step-by-step explanation:
I hope that this helps you out..
Answer:
The sum of geometric series is 716144
Step-by-step explanation:
Given
First term=a_1= -11
Last term=a_8=859375
Common ration of geometric series=r= -5
And
Total terms in geometric sequence=n=8
We know that the formula for sum of geometric series is:
S_n= (a_1 (1-r^n))/(1-r)
= (-11(1-(-5)^8)/(1-(-5))
= (-11(1-5^8))/(1+5)
= (-11(1-390625))/6
=(-11(-390624)))/6
=4296864/6
=716144
So the sum of geometric series is: 716144 ..
Answer:
1. The graph represents the inequality y > 2x + 1
2. The y-intercept (where a line meets the y-axis) is at point (0,1). This line rises by 2 for every point it moves to the right (this is called the slope). A dotted line means that point on the line are not included in the solution set, thus you use the > symbol.
The answer I think is 3/5 and 9/25
