The regression equation for the data given is y= -8.57 -2.31x
Step-by-step explanation:
The first step is to form a table as shown below;
x y xy x² y²
1 4 4 1 16
2 1 2 4 1
3 5 15 9 25
4 10 40 16 100
5 16 80 25 256
6 19 114 36 361
7 15 105 49 225
28 60 360 140 984 ------sum
A linear regression equation is in the form of y=A+Bx
where ;
x=independent variable
y=dependent variable
n=sample size/number of data points
A and B are constants that describe the y-intercept and the slope of the line
Calculating the constants;
A=(∑y)(∑x²) - (∑x)(∑xy) / n(∑x²) - (∑x)²
A=(60)(140) - (28)(360) / 7(140)-(28)²
A=8400 - 10080 /980-784
A= -1680/196
A= - 8.57
B= n(∑xy) - (∑x) (∑y) / n(∑x²) - (∑x)²
B= 7(360)-(28)(60) / 7(60) - (28)²
B=2520 - 1680 /420-784
B=840/-364
B= -2.31
y=A+Bx
y= -8.57 -2.31x
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Regression equation :brainly.com/question/12280902
Keywords : equations, regression line, data
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The first thing you need to do is convert the yards into feet. In one yard there are three feet. So 2*3=6 now you can do the triangle area equation. 6*4.25=25.5 then divide by two. 25.5/2=12.75So the area of the triangle is 12.75 ft^2Hope this helps
$18.00 total payment
$15.00 x .05(tax) =$ .75
$15.00 x .15(tip) =$ 2.25
________________________
$ 3.00
+ $15.00
----------------------------------
$18.00
Let one odd integer = x
other odd integer = x +2
Sum = x + x+2 = -44
=> 2x + 2 = -44
=> 2x = -44 -2 = -46
=> x = -46/2 = -23
x+2 = -23 + 2 = -21
Integers are -23 and -21
Answer:
2
Step-by-step explanation:
Given:
Total length of ribbon = 1 yard
Length of ribbon used for project = 
yard
Length of ribbon the rest of ribbon is to be divided = 
yard
To find:
The number of ribbons of length yard that can be made = ?
Solution:
Length of ribbon left after the 1 yard ribbon is used for project can be calculated by subtracting the length of ribbon used from the initial length of ribbon.
i.e.
Length of ribbon left = 
yard
Now, number of ribbon of length yard can be found be dividing the length of ribbon left with the length of ribbon pieces to be cut.
i.e.
Number of ribbons:
