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 Use the model to predict the percent of seeds that sprout if the plant produces 54 seeds. Percent sprouting =?  (Please round your answer to the nearest whole number.)   Interpret the slope of the regression line in the context of the question:   For every additional seed that a plant produces, the chance for each of the seeds to sprout tends to decrease by 0.81 percent. The slope has no practical meaning since it makes no sense to look at the percent of the seeds that sprout since you cannot have a negative number. As x goes up, y goes down. Interpret the y-intercept in the context of the question: The average sprouting percent is predicted to be 108.89. If plant produces no seeds, then that plant's sprout rate will be 108.89. The y-intercept has no practical meaning for this study. The best prediction for a plant that has 0 seeds is 108.89 percent.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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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. Use the model to predict the percent of seeds that sprout if the plant produces 54 seeds.
    Percent sprouting =?  (Please round your answer to the nearest whole number.)  

  2. Interpret the slope of the regression line in the context of the question:  
    • For every additional seed that a plant produces, the chance for each of the seeds to sprout tends to decrease by 0.81 percent.
    • The slope has no practical meaning since it makes no sense to look at the percent of the seeds that sprout since you cannot have a negative number.
    • As x goes up, y goes down.


  3. Interpret the y-intercept in the context of the question:
    • The average sprouting percent is predicted to be 108.89.
    • If plant produces no seeds, then that plant's sprout rate will be 108.89.
    • The y-intercept has no practical meaning for this study.
    • The best prediction for a plant that has 0 seeds is 108.89 percent.

    choose correct answer in question 2 and 3

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