Linear regression

Differentiate (3x^2− 5)^3.Find dy/dx if y = sqrt (x^2 + 1).The daily profit, P, of an oil refinery is given byP = 8x − 0.02×2,where x is the number of barrels of oil refined. How many barrels will give maximum profit and what is the maximum profit?∫...

Linear regression

Questions: Evaluate the limit lim h→0 1 4+h − 1 4 h Consider the function f(x) =   x2 − 1 x − 1 if x < 1 c + ln x if x ≥ 1 (a). Evaluate lim x→1− f(x) (b). Evaluate lim x→1+ f(x) (c). Find a value for the parameter c, so that f is continuous at x = 1. Given f(x)...

Linear regression

Define a simple linear regression. What is/are the difference(s) between simple linear regression and a multiple regression? Define a dependent variable. Define an independent variable. Example: A real estate agent likes to predict the selling price of a home based on...

Linear regression

(Prob. 1) Say A1, A2, . . . , Am and B1, B2, . . . , Bm are all subsets of {1, 2, . . . , n}such that |Ai ∩ Bj| is even if i 6= j and |Ai ∩ Bi| is odd for alli. Show that m ≤ n.(Prob 2) Say A1, A2, . . . , Am are subsets of {1, 2, . . . , n} such that |Ai| iseven for...

Linear Regression

State if the following are exponential or linear. Then write the function equation. (0,2), (1,6), (2,18), (3,54) 2. (0,2), (1,6), (2,10), (3,14) 3. (0,64), (1,32), (2,16), (3,8)I start on week 0 with $50 and deposit $10 every week. x=weeks, y=$I start on day 0 with...