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 63 58 62 60 42 69 Sprout Percent 69.1 54.1 57.6 55.4 55 77.4 55.3  r2 = ?  (Round to 3decimal places)    Interpret r2 :   Given any group of plants that all produce the same number of seeds, 57% of all of these plants will produce seeds with the same chance of sprouting. 57% of all plants produce seeds whose chance of sprouting is the average chance of sprouting. There is a 57% 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 57%. choose 1 corect answer above  The equation of the linear regression line is:    ˆy^ = ? +? x  (Please show your answers to 3 decimal places)

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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 63 58 62 60 42 69
Sprout Percent 69.1 54.1 57.6 55.4 55 77.4 55.3
  1.  r2 = ?  (Round to 3decimal places)  
  2.  Interpret r2 :  
    • Given any group of plants that all produce the same number of seeds, 57% of all of these plants will produce seeds with the same chance of sprouting.
    • 57% of all plants produce seeds whose chance of sprouting is the average chance of sprouting.
    • There is a 57% 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 57%.
    • choose 1 corect answer above 

    The equation of the linear regression line is:   
    ˆy^ = ? +? x  (Please show your answers to 3 decimal places)  

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