In order to test for the significance of a regression model involving 3 independent variables and 47 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are a. 47 and 3 b. 3 and 47 c. 2 and 43 d. 3 and 43

The correct option is  C

Step-by-step explanation:

From the question we are told that

     The number of independent variables is  

     The number of observation is  

Since n is are independent variables then their degree of freedom is  3

   The  denominator(i.e z) degrees of freedom is evaluated as

So for the numerator (n) the degree of freedom is  Df(n) = 3

So for the denominator(i.e z) the degree of freedom is  Df(z) = 43

to determine the unit cost your would divide the total cost by the number sold.

7 bagels for $4.41       $4.41/7 = $.63 each at fresh side

5 bagels for $3.60         $3.60/5 = $.72 each at value mart

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4