Question

Listed below are foot lengths (mm) and heights (mm) of males. Find the regression equation, letting foot length be the predictor (x) varbest predicted height of a male with a foot length of 273.3 mm. How does the result compare to the actual height of 1776 mm?Foot Length 282.4 278.0 253.2 259.0 278.7 258.1 274.2 262.0Height1784.6 1771.0 1675.6 1646.2 1859.2 1710.2 1789.3 1737.3The regression equation isŷ = x

Answer 1

• y=357+5.18x

,

• The best-predicted height= 1772.7 mm.

,

• The result is close to the actual height of 1776 mm.

Explanation:

Using a regression equation, the regression equation is given below:

• The slope, B = 5.18 (correct to 2 decimal places)

,

• The y-intercept, A=357 (correct to the nearest integer)

Therefore, the regression equation is:

`\hat{y}=357+5.18x`

(b)When the foot length = 273.3 mm

`\begin{gathered} \hat{y}=357+5.18x \\ \hat{y}=357+5.18(273.3) \\ \hat{y}=1772.69 \end{gathered}`

• The best-predicted height of a male with a foot length of 273.3 mm, is 1772.7 mm.

,

• The result is close to the actual height of 1776 mm.