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 67 61 Sprout Percent 55.1 62.4 64.1 74.1 63.6 66.3 51.9 64.7  r2r2 =  (Round to two decimal places)    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. The equation of the linear regression line is:    ˆyy^ =  + xx   (Please show your answers to two decimal places)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 55SE: Use the following scenario for the exercises that follow: In the game of Keno, a player starts by...
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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 62 43 43 58 59 67 61
Sprout Percent 55.1 62.4 64.1 74.1 63.6 66.3 51.9 64.7
  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)  
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