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
Learn More
Regression equation :brainly.com/question/12280902
Keywords : equations, regression line, data
#LearnwithBrainly
we know that, denominator ≠ 0
16y² ≠ 0
y ≠ 0 is excluded value.
Datos:
Perímetro = 48m
Ancho = x
Largo = 2x
Área = (2x)(x)
Ecuación:
2x + 4x = 48
6x = 48
x = 48/6
x = 8
Sustitución:
Área = [2(8)](8)
Área = (16)(8)
Área = 128
Respuesta: Se necesitarán 128 metros cuadrados de papel decorativo
