Em, um experimento uma barra de ferro, quando submetida a um processo de aqueciamento, revelos alteracbes em suas dimensbes e caracteristicas fisicas. Rase fenbmeno de expanslo trmica, observado durante o equecimento da barra. proporcionos ams sire de mudanças mensuriveis nas suas propriedodes estruturais. As informsçles coletadas encontramse no quadro que segue. Temperatura ( .( )^circ mathrm(C))(mathrm(x)) & 10 & 15 & 20 & 25 & 30 Comprimento(mm) (y) & 100 & 100 & 101 & 1011 & 1014 Fonte: elaborado pela sutore. Qual 6 o coeficiente angular da reta de regresilo? Dados: [ b=((x^2-x^2-x^2.)/(+x^2)-x^(2) ] Asainale a alternativa correta.

To solve this problem, we need to calculate the angular coefficient (slope) of the regression line based on the given data. The slope formula for a linear regression is derived from the least squares method and can be expressed as: Where:- is the number of data points,- represents the independent variable (temperature in this case),- represents the dependent variable (length in this case),- is the sum of the product of corresponding and values,- is the sum of all values,- is the sum of all values,- is the sum of the squares of values.## Step 1: Extract the dataFrom the table provided:- (Temperature in ): - (Length in mm): ## Step 2: Calculate the necessary sumsWe calculate the following:1. 2. 3. 4. \( \sum xy = (10 \cdot 100) + (15 \cdot 100) + (20 \cdot 101) + (25 \cdot 1011) + (30 \cdot 1014) \) 5. (number of data points).## Step 3: Apply the slope formulaSubstitute the calculated values into the formula for : Substituting: Simplify the numerator: Simplify the denominator: Finally, calculate : ## Step 4: Identify the correct alternativeThe angular coefficient of the regression line is approximately .