A biologist looked at the relationship between number of seeds a plant produces and the percent of those seeds that sprout. The results of the survey are shown below. Seeds Produced 63 62 43 43 58 59...

A biologist looked at the relationship between number of seeds a plant produces and the percent of those seeds that sprout. The results of the survey are shown below.

1.  r2r2 =  (Round to two decimal places)


2.  Interpret r2r2 :
   
   
   

   
   
   • Given any group of plants that all produce the same number of seeds, 54% of all of these plants will produce seeds with the same chance of sprouting.
   
   
   • There is a 54% chance that the regression line will be a good predictor for the percent of seeds that sprout based on the number of seeds produced.
   
   
   • There is a large variation in the percent of seeds that sprout, but if you only look at plants that produce a fixed number of seeds, this variation on average is reduced by 54%.
   
   
   • 54% of all plants produce seeds whose chance of sprouting is the average chance of sprouting.
   
   

   
   
   
   


3. The equation of the linear regression line is:
   ˆyy^ =  + xx   (Please show your answers to two decimal places)