Solve the equation for x: x = 5/25 − 7 + 60. Also, perform regression analysis on the given data.

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Here's the solution to your questions: Part 1: Solve the equation for س (x) Step 1: Write down the equation. س = 5/25 − 7 + 60 Step 2: Simplify the fraction. س = 0.2 − 7 + 60 Step 3: Perform the subtraction and addition. س = −6.8 + 60; س = 53.2 The value of س is 53.2. Part 2: Regression Analysis We are given the following data for Year (x) and Exports (y): Year (x_i) — Exports (y_i) — x_i² — x_i y_i2 — 0.15 — 4 — 0.30 7 — 0.16 — 49 — 1.12 11 — 0.17 — 121 — 1.87 13 — 0.18 — 169 — 2.34 16 — 0.19 — 256 — 3.04 Sum — 0.85 — 599 — 8.67 Step 1: Calculate the sums. n = 5; ∑ x_i = 2 + 7 + 11 + 13 + 16 = 49; ∑ y_i = 0.15 + 0.16 + 0.17 + 0.18 + 0.19 = 0.85; ∑ x_i² = 4 + 49 + 121 + 169 + 256 = 599; ∑ x_i y_i = 0.30 + 1.12 + 1.87 + 2.34 + 3.04 = 8.67; Step 2: Calculate the slope (b) of the regression line y = a + bx. The formula for b is: b = (n(∑ x_i y_i) − (∑ x_i)(∑ y_i))/(n(∑ x_i²) − (∑ x_i)²) Substitute the values: b = (5(8.67) − (49)(0.85))/(5(599) − (49)²); b = (43.35 − 41.65)/(2995 − 2401); b = 1.7/594 b ≈ 0.00286195 Step 3: Calculate the y-intercept (a) of the regression line. The formula for a is: a = (∑ y_i − b(∑ x_i))/(n) Substitute the values: a = (0.85 − (0.00286195)(49))/(5); a = (0.85 − 0.14023555)/(5); a = 0.70976445/5 a ≈ 0.14195289 Step 4: Write the regression equation. The regression equation is y = a + bx. y = 0.14195 + 0.00286x; The regression equation is y = 0.14195 + 0.00286x. Part 3: Forecast exports for year 20 Step 1: Use the regression equation and substitute x = 20. y₂₀ = 0.14195289 + 0.00286195(20); y₂₀ = 0.14195289 + 0.057239; y₂₀ = 0.19919189 Step 2: Round the forecast to an appropriate number of decimal places. y₂₀ ≈ 0.19919 The forecast for exports for year 20 is 0.19919.

Solve the equation for x: x = 5/25 - 7 + 60. Also, perform regression analysis on the given data.

Answers

Step-by-step solution

Part 1· 3 steps

Write down the equation.

Simplify the fraction.

Perform the subtraction and addition.

Part 2· 4 steps
$y = 0.14195 + 0.00286x$

Calculate the sums.

Calculate the slope ( $b$ ) of the regression line $y = a + bx$ .

Calculate the y-intercept ( $a$ ) of the regression line.

Write the regression equation.

Part 3· 2 steps0.19919

Use the regression equation and substitute $x = 20$ .

Round the forecast to an appropriate number of decimal places.

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