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Heights (in centimeters) and weights (in kilograms) of 7 supermodels are given below:

- Height (x): 174, 168, 172, 176, 176, 176, 178
- Weight (y): 54, 50, 53, 56, 54, 55, 58

(Note: Compute values to three decimal places of accuracy.)

The regression equation is \( y = -80 + 0.83x \).

Using this line, predict the weight of a supermodel who is 173 cm tall.

Answer :

Final answer:

The regression equation y = -80 + 0.83x is used to predict the weight (Y) based on the height (X). Substituting X=173 into the equation gives a predicted weight of approximately 63.39 kg for a supermodel who is 173 cm tall.

Explanation:

The linear regression equation is used to predict the dependent variable based on the independent variable. In this case, the height (X) is the independent variable and the weight (Y) is the dependent variable. Given the regression equation as y = -80 + 0.83x, for predicting the weight of a supermodel who is 173 cm tall, we substitute x with 173 in the regression equation.

So, Y = -80 + 0.83*(173) which calculates to approximately 63.39 kg. Hence, the regression line predicts that a supermodel who is 173 cm tall would weigh approximately 63.39 kg.

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