2. Are rent rates influenced by the student population in a town? We, thus, wish to test the following relationship: log(rent) = Bo + B1 log(pop) + ß2 log(avginc) + Bzpctstu + u where log is the natural logarithm, rent is the average monthly rental paid on rental units, pop is the total city population, gyginc is the average city income and petstu is the student population as a percentage of the total population. Based on the above model the following equation is estimated: log(rent) = 0.043 + 0.066 log(pop) + 0.570 log(avginc) + 0.0056pctstu (0.081) (0.844) (0.039) (0.0017) n= 64, R² = 0.458 (standard errors in parentheses) a) Test the null hypothesis that the size of the student population has no ceteris paribus effect on the monthly rent against the alternative that there is an effect at 5% significance level. b) What signs do you expect for B1 and B2?

Q: a) Find m L4 1/2 -> 3/4 120 5 6/7 .

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: I need the answers for parts e to h please.

A: We have to find the general solution and sketch the phase portrait. Note according to the guidelines…

Q: et A = PDP 1 and P and D as shown belo 1 2 1 0 P = 3 5 0 2

A:

Q: 11. If a = y2 and b = y, and -1sys3, then what is the largest possible difference between a and b?…

A: Please refer the attached image for complete solution.

Q: 1) sec 8 17

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: H.W- Solve the following PDES Op-q=1 CP+9) www

A:

Q: Find the complete solution for the following differencing equation (vi) un+2 – 2un+1+Un = n².2" %3D

A: given difference equation un+2-2un+1+un=n2.2n to find the complete solution

Q: Using chanpitz melhod solve the fellowing: 11 %3D

A:

Q: S¹₁₁ S1+₂x² x + 2y dy dx ·12x²

A:

Q: n 13 1 out of 1 points Meredith is 11 years older than her sister Lexie. However, "y" years ago,…

A: Topic:- algebra

Q: 2. Solve for x. A. В. С. D. A 8A 12 24

A: Since, lines are parallel and the transversals are cutting the parallel lines, which are not…

Q: -5 Secondary Topic 4. Compute 1 dr

A:

Q: 3. Show that (1+i) = 2i

A:

Q: B. Solve for x for this square 2х-4 6.

A: The objective is to find the value of x

Q: 7. Simplify the following in rectangular j form (up to 2 decimal places). e2+j

A: As we know  ejθ=cos θ+j sin θwhere θ is in radians. Rectangular form is given by  x+j y where x and…

Q: 2. The exact value of sec 57 is O2 2V3 -2 2V3 3

A:

Q: S. If PH is 3 and AP is 2x +4 what is x? B oint 丰

A: Centroid of triangle divide each of median in ratio of 2;and 1

Q: Sketch Hhe wrue r= 35in (20)

A:

Q: What must be true about a for a² = ab to imply that a = = b? a = ○a‡0 a> 0 a>0

A:

Q: 3. Rewrite the following equations in their clearest and most appropriate forms (think of…

A: We have to rewrite the following equations in their clearest forms with suitable number of suitable…

Q: 1.) if c Ou= 0, then either c = 0 oru=0

A:

Q: E F 6. B 8 C 4 С 4

A:

Q: Evaluate S 2 dx √x4+25

A: ∫1au+b du = 1alnau+b+C

Q: Solve the given higher order DE y" – y" + 3Dy – 5y = e*Sin 2x

A: Auxiliary equation corresponding to given differential equation: m3-m2+3m-5=0 Roots of polynomial…

Q: Solve the following PDE: y Uxy + u = 0

A: The partial differential equation given is as follows:…

Q: Solve for A. 3 -1 1 0 A = -3 8. 0 1

A: To find A for the given matrix equation 3-18-3A=1001

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.