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a. The equation of the linear regression line is: ŷ- (Please show your answers to two decimal places) b. Use the model to predict the percent of seeds that sprout if the plant produces 57 seeds. Percent sprouting - (Please round to two decimal places.) c. 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 0.82 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. d. Interpret the y-intercept in the context of the question: Hint: Can any seeds sprout if 0 are planted? The y-intercept has no practical meaning for this study. The best prediction for a plant that has 0 seeds is 113.24 percent. If plant produces no seeds, then that plant's sprout rate will be 113.24. O The average sprouting percent is predicted to be 113.24.

a. The equation of the linear regression line is: ŷ- (Please show your answers to two decimal places) b. Use the model to predict the percent of seeds that sprout if the plant produces 57 seeds. Percent sprouting - (Please round to two decimal places.) c. 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 0.82 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. d. Interpret the y-intercept in the context of the question: Hint: Can any seeds sprout if 0 are planted? The y-intercept has no practical meaning for this study. The best prediction for a plant that has 0 seeds is 113.24 percent. If plant produces no seeds, then that plant's sprout rate will be 113.24. O The average sprouting percent is predicted to be 113.24.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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. 59 66 Seeds Produced Sprout Percent 59.3 71.2 41 83.7 41 41 82.7 77.7 63 58 57.1 60.6 51 67.7 a. Find the correlation coefficient: r = b. The null and alternative hypotheses for correlation are: Ho: 21 = 0 H₁: ? #0 The p-value is: Round to 2 decimal places. (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. 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. 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 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 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.
Transcribed Image Text: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. 59 66 Seeds Produced Sprout Percent 59.3 71.2 41 83.7 41 41 82.7 77.7 63 58 57.1 60.6 51 67.7 a. Find the correlation coefficient: r = b. The null and alternative hypotheses for correlation are: Ho: 21 = 0 H₁: ? #0 The p-value is: Round to 2 decimal places. (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. 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. 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 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 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.
a. The equation of the linear regression line is: ŷ= x+ (Please show your answers to two decimal places) b. Use the model to predict the percent of seeds that sprout if the plant produces 57 seeds. (Please round to two decimal places.) Percent sprouting = c. 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 0.82 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. d. Interpret the y-intercept in the context of the question: Hint: Can any seeds sprout if 0 are planted? O The y-intercept has no practical meaning for this study. The best prediction for a plant that has 0 seeds is 113.24 percent. O If plant produces no seeds, then that plant's sprout rate will be 113.24. The average sprouting percent is predicted to be 113.24.
Transcribed Image Text:a. The equation of the linear regression line is: ŷ= x+ (Please show your answers to two decimal places) b. Use the model to predict the percent of seeds that sprout if the plant produces 57 seeds. (Please round to two decimal places.) Percent sprouting = c. 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 0.82 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. d. Interpret the y-intercept in the context of the question: Hint: Can any seeds sprout if 0 are planted? O The y-intercept has no practical meaning for this study. The best prediction for a plant that has 0 seeds is 113.24 percent. O If plant produces no seeds, then that plant's sprout rate will be 113.24. The average sprouting percent is predicted to be 113.24.
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