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 Produced6362434358596761Sprout Percent55.162.464.174.163.666.351.964.7 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)

The independent variable is seeds produced. The dependent variable is sprout percent. We have to…

Answered: A biologist looked at the relationship…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 8PPS

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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

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)

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