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If $b_1 = 0.903643$ , $b_0 = 3.829633$ , then the estimated regression line value at $x_0 = 20\%$ is

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Add, subtract, multiply, or divide two decimals: word problems

Full solution

Q. If

b_1 = 0.903643

,

b_0 = 3.829633

, then the estimated regression line value at

x_0 = 20\%

is

Convert to decimal: First, convert the percentage for $x_0$ to a decimal to use in the calculation. $\newline$ $x_0 = 20\% = 0.20$
Plug values into equation: Now, plug the values of $b_1$ , $b_0$ , and $x_0$ into the regression line equation $y = b_0 + b_1*x$ . $\newline$ $y = 3.829633 + 0.903643*0.20$
Multiply $b_1$ by $x_0$ : Next, multiply $b_1$ by $x_0$ . $0.903643 \times 0.20 = 0.180729$
Add to get estimated value: Then, add the result to $b_0$ to get the estimated value. $\newline$ $3.829633 + 0.180729 = 4.010362$

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