In a multiple regression problem involving two independent variables, if b1 is computed to be +2.0, it means that

a. the relationship between x1 and y is significant.

b. the estimated average of y increases by 2 units for each increase of 1 unit of x1, holding x2 constant.

c. the estimated average of y is 2 when x1 equals zero.

d. the estimated average of y increases by 2 units for each increase of 1 unit of x1, without regard to x2.

D. the estimated average of Y increases by 2 units for each increase of 1 unit of X1, without regard to X2.

Step-by-step explanation:

Hello!

Given any linear or multiple regression, βi represents the modification on the population mean of Y when Xi increases one unit. And its estimator bi is defined as the modification on the estimated mean of Y when Xi increases one unit.

So if you have an estimated multiple regression model Yi= b₀ + b₁X₁ + b₂X₂ + ... + bkXk

Where k is the number of regressive variables.

b₁ is the modification of the estimated average of Y when X₁ increases one unit and the rest of the independent variables remain constant.

In other words, the estimated mean of Y increases 2 for each unit increase of X₁.

I hope it helps!

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.