Question

The correlation between height and weight for a certain breed of plant is found to be 0.75. What percentage of the variability in plant weight is NOT explained by height? 1-0.75 = 0.25 or 25% (b) 1-(.75)^2 = 0.5625 or 56.25% (c) 1-(.75)^2 = 0.4375 or 43.75% (d) (1 - 0.75)^2 = 0.0625 or 6.25%

Answer 1

Answer:

The percentage of the variability in plant weight is NOT explained by height is  

      $p = 43.75$%

Step-by-step explanation:

From the question we are told that

      The correlation between height and weight is  $r = 0.75$

Generally the R-Squared  between height and weight is mathematically represented as

        $R - square = r^2$

substituting values

         $R - square = 0.75^2$

         $R - square = 0.563$

This R-Squared tells us the percentage of plant weight is accounted by height

and from the calculation we see that it is  56.3%

Now the percentage of plant weight that is not accounted by height is

          $p = 100 - 56.3$

          $p = 43.75$%