For the panel data variable x_it that takes the values x_11 = 5, x_12 = 3, x_13

Question

For the panel data variable x_it that takes the values x_11 = 5, x_12 = 3, x_13 = 7, x_21 = 8, x_22 = 6 and x_23 = 4, a. Calculate sigma^3_t = 1 x_it for i = 1 and for i = 2. b. Calculate sigma^2_i = 1 x_it for t = 1, for t = 2 and for t = 3. What do the following stand for? Write out the expression! a. sigma^4_i = 1 x^i - 1 b. sigma^2_i = 1 (2x_i + 3y_i) c. sigma^4_i = 1 (i + 4) d. sigma^4_i = 1 3^i Express the following in summation notation: a. x_1 + x_2 + x_3 + x_4 + x_5 b. x_1 + 2x_2 + 3x_3 + 4x_4 + 5x_5 c. (x^2_1 + y^2_1) + (x^2_2 + y^_2) + middot middot middot + (x^2_k + y^2_k)

Explanation / Answer

Dear Student Thank you for using Chegg !! x11= 5 x12= 3 x13= 7 x21= 8 x22= 6 x23= 4 a1) x11 + x12 + x13 = 5 + 3 + 7 = 15 Solution a2) x21 + x22 + x23 = 8 + 6 + 4 = 18 Slution b1) x11 + x21 = 5 + 8 = 13 b2) x12 + x22 = 3 + 6 = 9 b3) x13 + x23 = 7 + 4 = 11 Solution

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