A biologist looked at the relationship between number of seeds a plant produces and the percent ofthose seeds that sprout. The results of the survey are shown below.Seeds Produced636260545361546156Sprout Percent54.8 57.2 53 66,4 | 61.8 46.6| 68,4 | 62,6| 64.6a. Find the correlation coefficient: ↑ =Round to 2 decimal places.b. The null and alternative hypotheses for correlation are:The p-value s:(Round to four decimal places)c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in thecontext of the study.O There Is statlstically insignificant evidence to onclude that there is a correlationbetween the number of seeds that a plant produces and the percent of the seeds thatsprout. Thus, the use of the regression line is not appropriate.O There is statistically insignificant evidence to conclude that a plant that produces moreseeds 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 betweenthe number of seeds that a plant produces and the percent of the seeds that sprout.Thus, the regression line is useful,O There is statistically significant evidence to conclude that a plant that produces moreseeds will have seeds with a lower sprout rate than a plant that produces fewer seeds.d. p² =A (Round to two decimal places)e. Interpret rO Given any group of plants that all produce the same number of seeds, 51% of all ofthese plants will produce seeds with the same chance of sprouting.OThere is a 51% chance that the repression line will be a pood predictor for the percent ofeede that cnZSat harad An the Qumber et FAade Brodurad.esc888F1F2F3DIIF6F7!@2#2$&3QWTYtabSFps lockC y R N e. Interpret rºO Given any group of plants that all produce the same number of seeds, 51% of all ofthese plants wil produce seeds with the same chance of sprouting.O There is a 51% chance that the regression line will be a good predictor for the percent ofseeds that sprout based on the number of seeds produced.O51% of all plants produce seeds whose chance of sprouting is the average chance ofsprouting.O There is a large variation in the percent of seeds that sprout, but if you only look atplants that produce a fixed number of seeds, this varlation on average is reduced by51%.f. The equation of the linear regression line is:T (Please show your answers to two decimal places)g. Use the model to predict the percent of seeds that sprout if the plant produces 54 seeds.Percent sprouting =|(Please round your answer to the nearestE whole number.).h. Interpret the słope of the regression line in the context of the question:O The slope has no practical meaning since it makes no sense to look at the percent of theseeds that sprout since you cannot have a negative number.O For every additional seed that a plant produces, the chance for each of the seeds tosprout tends to decrease by 1.29 percent.O As x goes up, y goes down.キi. Interpret the y-intercept in the context of the question:O if plant produces no seeds, then that plant's sprout rate wil be 134.87.O The average sprouting percent is predicted to be 134.87,OThey-intercept has no practical memning for this study.MacBook PrOescF3F4F5F7FB@#32$%&12478.QWEtabSDFos lockCV B

Name: A biologist looked at the relationship between number of seeds a plan
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: A biologist looked at the relationship between number of seeds a plant produces and the percent ofthose seeds that sprout. The results of the survey are shown below.Seeds Produced636260545361546156Sprout Percent54.8 57.2 53 66,4 | 61.8 46.6| 68,4 |

Question

A biologist looked at the relationship between number of seeds a plant produces and the percent ofthose seeds that sprout. The results of the survey are shown below.Seeds Produced636260545361546156Sprout Percent54.8 57.2 53 66,4 | 61.8 46.6| 68,4 | 62,6| 64.6a. Find the correlation coefficient: ↑ =Round to 2 decimal places.b. The null and alternative hypotheses for correlation are:The p-value s:(Round to four decimal places)c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in thecontext of the study.O There Is statlstically insignificant evidence to onclude that there is a correlationbetween the number of seeds that a plant produces and the percent of the seeds thatsprout. Thus, the use of the regression line is not appropriate.O There is statistically insignificant evidence to conclude that a plant that produces moreseeds 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 betweenthe number of seeds that a plant produces and the percent of the seeds that sprout.Thus, the regression line is useful,O There is statistically significant evidence to conclude that a plant that produces moreseeds will have seeds with a lower sprout rate than a plant that produces fewer seeds.d. p² =A (Round to two decimal places)e. Interpret rO Given any group of plants that all produce the same number of seeds, 51% of all ofthese plants will produce seeds with the same chance of sprouting.OThere is a 51% chance that the repression line will be a pood predictor for the percent ofeede that cnZSat harad An the Qumber et FAade Brodurad.esc888F1F2F3DIIF6F7!@2#2$&3QWTYtabSFps lockC y R N e. Interpret rºO Given any group of plants that all produce the same number of seeds, 51% of all ofthese plants wil produce seeds with the same chance of sprouting.O There is a 51% chance that the regression line will be a good predictor for the percent ofseeds that sprout based on the number of seeds produced.O51% of all plants produce seeds whose chance of sprouting is the average chance ofsprouting.O There is a large variation in the percent of seeds that sprout, but if you only look atplants that produce a fixed number of seeds, this varlation on average is reduced by51%.f. The equation of the linear regression line is:T (Please show your answers to two decimal places)g. Use the model to predict the percent of seeds that sprout if the plant produces 54 seeds.Percent sprouting =|(Please round your answer to the nearestE whole number.).h. Interpret the słope of the regression line in the context of the question:O The slope has no practical meaning since it makes no sense to look at the percent of theseeds that sprout since you cannot have a negative number.O For every additional seed that a plant produces, the chance for each of the seeds tosprout tends to decrease by 1.29 percent.O As x goes up, y goes down.キi. Interpret the y-intercept in the context of the question:O if plant produces no seeds, then that plant's sprout rate wil be 134.87.O The average sprouting percent is predicted to be 134.87,OThey-intercept has no practical memning for this study.MacBook PrOescF3F4F5F7FB@#32$%&12478.QWEtabSDFos lockCV B< cO

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