Abiologist 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 Sprout Percent 54.6 40 69 5O 51 58 51 .8 46 55.6 45 59 41 TLG 64 53 53.8 3. Find the correlation coefficient: r = :l Hound to 2 decimal places. I). The null and alternative hypotheses for correlation are: The pevalue is: :] (Hound to four decimal places) (2. Use a level of significance of a : 0.05 to state the conclusion of the hypothesis test in the context of the study. 0 There is statistically insignificant evidence to conclude that there is a correlation between Hie 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. 0 There 5 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. 0 There is statistically signicant evidence to conclude that there is a correlation between the number of seeds that a plant produces and the percent of the seeds that spmut. Thus, the regression line is useful. 0 There is statistically signicant 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. d. r2 : C] (Round to two decimal places] e. Interpret!"2 : 0 There is a large variation in the percent of seeds that sprout, but if you only look at plants that produce a xed nLl'rrber of seeds, this variation on average is reduced by 63%. 0 Given any group of plants that all produce the sarrre number of seeds, 68% of all of these plants will produce seeds with the same chance of sprouting. O 63% of all plants produce seeds whose chance of sprouting is the average chance of sprouting. 0 There '5 a 68% chance that die regression line will be a good predictor for the percent of seeds that sprout based on the number of seeds prodmed. heequation of the linear regression line is: = '12:] C}: {Please show your answers to two decimal places) g. Use the model to predict the percent of seeds that sprout if the plant produces 60 seeds. Percent sprouting : [:] {Please round your answer to die nearest whole number.) h. Interpret the slope of the regression line in the context of the question: 0 For every additional seed that a plant produces, the chance for each of the seeds to sprout tends to decrease by 0.86 percent. OAsxgoesup,ygoesdown. O The slope has no practiml meaning since it males no sense to look at the percent of the seeds that sprout since you cannot have a negative number. i. Interpret the y-intercept in the context of the question: 0 The best prediction for a plant that has 0 seeds is 1111.61 percent. 0 If plant produces no seeds, then that plant's sprout rate will be 1120.61. 0 The yrintercept has no practical meaning for this study. 0 The average sprouting percent is predicted to be 100.61