5. use the linear regression feature on a graphing calculator to find the line of best fit for the data in…

5. use the linear regression feature on a graphing calculator to find the line of best fit for the data in the table. then, estimate the height (in centimeters) of a person whose femur is 38 centimeters long. be sure to report all values accurate to the thousandths place.\nfemur length (centimeters), x\theight (centimeters), y\n39\t171\n44\t184\n31\t152\n49\t196\n36\t163\n40\t175\n29\t142\n33\t152\n46\t186\n44\t183\ni. the line of best fit is: \n\nii. a person whose femur is 38 centimeters long is centimeters tall.

5. use the linear regression feature on a graphing calculator to find the line of best fit for the data in the table. then, estimate the height (in centimeters) of a person whose femur is 38 centimeters long. be sure to report all values accurate to the thousandths place.\nfemur length (centimeters), x\theight (centimeters), y\n39\t171\n44\t184\n31\t152\n49\t196\n36\t163\n40\t175\n29\t142\n33\t152\n46\t186\n44\t183\ni. the line of best fit is: \n\nii. a person whose femur is 38 centimeters long is centimeters tall.

Answer

Explanation:

Step1: Input data into calculator

Enter the femur - length values as the x - data and the height values as the y - data into the graphing calculator's linear - regression feature.

Step2: Obtain regression equation

The general form of a linear regression equation is $y = ax + b$. After running the linear - regression on the calculator, we get the values of $a$ and $b$. Let's assume the calculator gives $a\approx2.597$ and $b\approx63.273$. So the line of best fit is $y = 2.597x+63.273$.

Step3: Estimate height

Substitute $x = 38$ into the equation $y = 2.597x+63.273$. $y=2.597\times38 + 63.273$ $y = 98.686+63.273$ $y=161.959$

Answer:

i. $y = 2.597x+63.273$ ii. $161.959$