Leonardo da Vinci believed that a person's height could be predicted from their armspan (the distance,...

 

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Leonardo da Vinci believed that a person's height could be predicted from their armspan (the distance, measured across the back, between the person's fingertips, when the arms are held out straight and horizontally). The values of both variables are measured (in cm) for a sample of eight individuals. The scatterplot is shown below with the least squares regression line. p 1.m 130 165 160 150 135 10 368 1.10 Ampe The equation of the least squares regression line is calculated to be y=-8.77 +1.06. The sample means and standard deviations are shown below: mean std. dev. 7.19 8.33 Armspan 169.5 Height 171.5 15. Which of the following statements is false? (A) A good prediction for the height of a person with an armspan of 170 cm is 171.43 cm. (B) A good prediction for the height of a person with an armspan of 195 cm is 197.93 cm. (C) Despite the strong linear relationship between armspan and height, we cannot con- clude a causal relationship. (D) One individual in the sample had an armspan of 172 cm and a height of 177 cm. The residual for this individual is equal to 3.45 cm. (E) There are five positive residuals and three negative residuals. Leonardo da Vinci believed that a person's height could be predicted from their armspan (the distance, measured across the back, between the person's fingertips, when the arms are held out straight and horizontally). The values of both variables are measured (in cm) for a sample of eight individuals. The scatterplot is shown below with the least squares regression line. p 1.m 130 165 160 150 135 10 368 1.10 Ampe The equation of the least squares regression line is calculated to be y=-8.77 +1.06. The sample means and standard deviations are shown below: mean std. dev. 7.19 8.33 Armspan 169.5 Height 171.5 15. Which of the following statements is false? (A) A good prediction for the height of a person with an armspan of 170 cm is 171.43 cm. (B) A good prediction for the height of a person with an armspan of 195 cm is 197.93 cm. (C) Despite the strong linear relationship between armspan and height, we cannot con- clude a causal relationship. (D) One individual in the sample had an armspan of 172 cm and a height of 177 cm. The residual for this individual is equal to 3.45 cm. (E) There are five positive residuals and three negative residuals.

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Answer Statement C The false statement is option c Despite ... View the full answer