Question

Use the data in the table below to answer the attached questions.
x

-3

-2

-1

0

1

2

y

-6.7

-6.514

-6.247

-5.98

-5.713

-5.446


Which type of regression equation matches the data set in the table?


Which type of regression equation matches the data set in the table?


Linear


Quadratic


Exponential

Answer 1

Question at position 3
3

1 point



Question at position 3
What is the regression equation that represents the data in the table?




What is the regression equation that represents the data in the table?




y=0.0072(0.2627)x


y=-5.9273x+0.2554


y=0.0072x2+0.2627x-5.9916


y=0.2554x-5.9723

Answer 2

What is the value of the function for the data set when x=7?


What is the value of the function for the data set when x=7?


-4.1845


-4.2357


-3.8512


-3.7999

Answer 3

Linear

Answer 4

To determine the regression equation that represents the data in the table, the linear regression equation y = mx + b can be used, where m is the slope and b is the y-intercept.

Using the data given:
x: -3, -2, -1, 0, 1, 2
y: -6.7, -6.514, -6.247, -5.98, -5.713, -5.446

Calculating the slope:
m = (Σxy - (Σx)(Σy)/n) / (Σx^2 - (Σx)^2/n)
m = ((-3*-6.7)+(-2*-6.514)+(-1*-6.247)+(0*-5.98)+(1*-5.713)+(2*-5.446) - (-15.946))/((9+4+1+0+1+4)-(36)/6)
m = (-20.1 + 13.0282)/14-(6)=(-7.0718)/8 = - 0,88
Calculating the y-intercept:
b = (Σy - mΣx) / n
b = (-6.7)-(-0,88*1)=
b = -5,812

Therefore, the regression equation that represents the data in the table is:
y = -0.88x - 5.812

Answer 5

To find the value of the function for the data set when x = 7, substitute x = 7 into the regression equation we previously found (y = -0.88x - 5.812):

y = -0.88(7) - 5.812
y = -6.16 - 5.812
y = -11.972

Therefore, when x = 7, the value of the function for the data set is approximately -11.972.

So, none of the given options-4.1845, -4.2357, -3.8512, -3.7999 match the calculated value.