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 51 57 51 47.5 50 70 70 55 55 50 Sprout Percent 49.5 54.5 47 38 41 54.5 47.5 54 a. Find the correlation coefficient: r = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho: ? H1: ? The p-value is: (Round to four decimal places) c. Use a level of significance of a = of the study, 0.05 to state the conclusion of the hypothesis test in the context

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Week 14: Chapter 12 - Linear Re X
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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
51
57
51
50
70
70
55
50
Sprout Percent
49.5
54.5
47.5
47
38
41
54.5
47.5
54
a. Find the correlation coefficient: r=
Round to 2 decimal places.
b. The null and alternative hypotheses for correlation are:
Ho: ? v
H1: ?
手0
The p-value is:
(Round to four decimal places)
c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context
of the study.
O 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.
O 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.
O 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.
O 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.
d. r2 =
(Round to two decimal places)
e. Interpret r:
O 53% of all plants produce seeds whose chance of sprouting is the average chance of sprouting.
ace
Transcribed Image Text:larmony Up to 12-hour battery life 14" FHD IPS display Week 14: Chapter 12 - Linear Re X //nightingale.instructure.com/courses/3057255/assignments/28988705?module_item_id%3D62437114 ntable Flash. Question 3 > 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 51 57 51 50 70 70 55 50 Sprout Percent 49.5 54.5 47.5 47 38 41 54.5 47.5 54 a. Find the correlation coefficient: r= Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho: ? v H1: ? 手0 The p-value is: (Round to four decimal places) c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. O 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. O 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. O 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. O 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. d. r2 = (Round to two decimal places) e. Interpret r: O 53% of all plants produce seeds whose chance of sprouting is the average chance of sprouting. ace
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