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.49 40 54 56 625847 6059Seeds Produced 56Sprout Percent 49 | 58.5 | 50 | 51.5 | 54.5 636252Round to 2 decimal places.a. Find the correlation coefficient: r =b. The null and alternative hypotheses for correlation are:Họ: ?v = 0The p-value Is:(Round to four decimal places)t 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 statistically insignificant evidenceseeds will have seeds with a lower sprout rate than a plant that produces fewer seeds.conclude that a plant that produces moreO 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.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 insignificant evidence to conclude 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.d. p(Round to two decimat places)e. Interpret r:O There is a 47% chance that the regression line will be a good predictor for the percent ofseeds that sprout based on the number of seeds produced.There is a large variation in the percent of seeds that spreut, bt if ynI only look atplants that pretuce a fiet anter of sds this variatn en avera ISTdued tyesc80F3F7%232$67QWtabTYAScaps lockFGshiftCVNcontroloptioncommand* 00B* LO plants that produce a fixed number of seeds, this variation on average is reduced by47%.47% of all plants produce seeds whose chance of sprouting is the average chance ofsprouting.O Given any group of plants that all produce the same number of seeds, 47% of all ofthese plants will produce seeds with the same chance of sprouting.f. The equation of the linear regression line is:(Please show your answers to two decimal places)g. Use the model to predict the percent of seeds that sprout if the plant produces 56 seeds.(Please round your answerr to the nearest whole number.)Percent sprouting =h. Interpret the slope of the regression line in the context of the question:O For every additional seed that a plant produces, the chance for each of the seeds tosprout tends to decrease by 0.50 percent.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 As x goes up, y goes down.1. Interprêt the y-intercept in the context of the question:O The best prediction for a plant that has 0 seeds is 82.4 percent.O The y-intercept has no practical meaning for this study.O If plant produces no seeds, then that plant's sprout rate will be 82.4.O The average sprouting percent is predicted to be 82.4.Hint Helpful Virten on the tinsar itepression tine 1escF3DIIF72324&248.QWtabYSFcaps lockCVNBA

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a. Find the correlation coefficient: f = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Hạ: [?v] The p-value Is: (Round to four decimal places) C Use a level of significance of o context of the study. 0.05 to state the COntlusion of the hypothesis test in the

a. Find the correlation coefficient: f = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Hạ: [?v] The p-value Is: (Round to four decimal places) C Use a level of significance of o context of the study. 0.05 to state the COntlusion of the hypothesis test in the

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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Find test value and p-score.
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