biologist
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
I already have the answers for the first three problems which I understand. Can you please help on the remaining questions as our professor is not helpful at all? I am having a hard time understanding some of this.
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 | 60 | 57 | 40 | 44 | 45 | 58 | 54 | 48 |
---|---|---|---|---|---|---|---|---|
Sprout Percent | 54 | 53.2 | 65 | 59.4 | 66 | 49.8 | 51.4 | 64.8 |
- Find the
correlation coefficient: r=r= Round to 2 decimal places. - The null and alternative hypotheses for correlation are:
H0:H0: == 0
H1:H1: ≠≠ 0
The p-value is: (Round to four decimal places) - Use a level of significance of α=0.05α=0.05 to state the conclusion of the hypothesis test in the context of the study.
- There is statistically significant evidence to conclude that there is a correlation between the number of seeds that a plant produces and the percent of the seeds that sprout. Thus, the regression line is useful.
- There is statistically insignificant evidence to conclude that there is a correlation between the number of seeds that a plant produces and the percent of the seeds that sprout. Thus, the use of the regression line is not appropriate.
- There is statistically insignificant evidence to conclude that a plant that produces more seeds will have seeds with a lower sprout rate than a plant that produces fewer seeds.
- There is statistically significant evidence to conclude that a plant that produces more seeds will have seeds with a lower sprout rate than a plant that produces fewer seeds.
- r2r2 = (Round to two decimal places)
- Interpret r2r2 :
- 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 73%.
- 73% of all plants produce seeds whose chance of sprouting is the average chance of sprouting.
- Given any group of plants that all produce the same number of seeds, 73% of all of these plants will produce seeds with the same chance of sprouting.
- There is a 73% chance that the regression line will be a good predictor for the percent of seeds that sprout based on the number of seeds produced.
- The equation of the linear regression line is:
ˆyy^ = + xx (Please show your answers to two decimal places.
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