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. Emmu -----mm a. Find the correlation coefficient: r = C] Found to 2 decimal places. b. The null and alternative hypotheses for correlation are: Hal-= HI: #9 The p-value is: C] {Round to four decimal places] c. Use a level of significance of or = I105 to state the conclusion of the hypothesis test in the context of the study. C' 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. C) 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. C) 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. C} 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 = C] [Round to two decimal places} e. Interpret r2 : C) There is a 5K chance that the regression line will be a good predictor for the percent of seeds that sprout based on the number of seeds produced. O lGiven any group of plants that all produce the same number of seeds, 5H of all of these plants will produce seeds with the same chance of sprouting. C} 5T3; of all plants produce seeds whose chance of sprouting is the average chance of sprouting. C' There is a large variation in the percent of seeds that sprout, but if you only look at plants that produce a fixed number of seeds, this variation on average is reduced by SE. 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 58 seeds. Percent sprouting = (Please round your answer to the nearest whole number.) 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 to sprout tends to decrease by -0.68 percent. O 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. O As x goes up, y goes down. i. Interpret the y-intercept in the context of the question: 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 27.75. O The best prediction for a plant that has 0 seeds is 27.75 percent. O The average sprouting percent is predicted to be 27.75