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Heights​ (cm) and weights​ (kg) are measured for 100 randomly selected adult​ males, and range from heights of 139 to 192 cm and weights of 38 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x hat= 167.82 cm, y hat= 81.39 kg,

r = 0.101, P-value = 0.317, and y = - 106 + 1.01x.

Required:
a. Find the best predicted value of y (weight) given an adult male who is 189 cm tall. Use a 0.05 significance level.
b. Find the best predicted value of y hat for an adult male who is 189 tall in ____kg.

Sagot :

ogorwyne

When an adult is 189cm tall, his predicted weight in kg is 84.89kg

We have y = -106+1.01x. This is the regression equation

  • the y value represents weight and it is the predicted value
  • the X value represents height and it is the predictor

we are to find y(weight) given that x (height) is 189 cm

y = -106 + 1.01x

y = -106+1.01*189

y = -106+190.89

y = 84.89 kg

In conclusion, when height is 189cm, weight is 84.89 kg

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