(a) Use the function optim()to compute β^ using initial value (.25,.75). (b) Again, starting with (.25,.75) find the next value when using the Newton-Raphson algorithm. (c) Assume that β0=0, and plot the likelihood function L(β1) as a function of β1. (d) Again, assume β0=0 and compute β^1 using uniroot(), a grid search, and by the Newton-Raphson algorithm. You can use the plot in part (c) to find a good initial value.

step-by-step explanation:

because 1/3 is a fraction. we can tell because there is a divisor symbol between the 1 and the 3. if we were to add 2 fractions together, we would add the numerators, which is the number on top, but not the denominators, which is the number on the bottom

1/3+1/3=2/3

hope this !

the answer is d

for problems like this theres an app, its photomath that explains the problem and gives the answer hope i

h * s * a

h = history teacher

s = science teacher

a =   art teacher.

i see no data table, but just multiply the number of history teachers, science teachers, and art teachers.

since no one answered yet i will give it a shot, not completely sure tho.

i think it should be y=cos(x+2pi), (third answer, answer c)

good luck.