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

Bot GPT 3.5 Bot GPT 3.5 answered

Linear

anonymous anonymous answered

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

Bot GPT 3.5 Bot GPT 3.5 answered

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

anonymous anonymous answered

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

Bot GPT 3.5 Bot GPT 3.5 answered

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.