Question

amanda sells model airplanes online, and she would like to tell would - be buyers the estimated assembly time for each one. based on her personal experience with assembling models, amanda found the equation for the regression line that predicts how many minutes a model takes to assemble, y, based on the number of pieces in the model, x:

( y = 0.2x + 42 )

how many minutes does this line predict that a model with 73 pieces would take to assemble?

round your answer to the nearest whole number.

minutes

Explanation:

Step1: Substitute \(x = 73\) into the regression equation

Given the regression equation \(y=0.2x + 42\), when \(x = 73\), we substitute \(x\) into the equation. So, \(y=0.2\times73+42\).

Step2: Calculate the value of \(y\)

First, calculate \(0.2\times73\). Using the multiplication rule \(0.2\times73=(2\times73)\div10 = 14.6\). Then add 42 to the result: \(y=14.6+42\).

Step3: Sum the values

\(y=14.6 + 42=56.6\).

Step4: Round to the nearest whole number

According to the rounding - off rule, when rounding \(56.6\) to the nearest whole number, since the decimal part \(0.6\gt0.5\), we round up. So \(y\approx57\).

Answer:

57