Gestation and Average Longevity Is there a relationship between the gestation of a sample of animals and the average longevity in years for a random sample of animals? Use a TI-83 Plus/TI-84 Plus calculator. Gestation X 105 289 154 233 109 Longevity y 7 12 10 38 9 Send data to Excel(a) Select the scatter plot that best represents the data. Longevity 50 ' Gestation and Longevity 40 30 20 10 50 100 150 200 250 300 Gestation Q Longevity 50 Gestation and Longevity 40 30 20 10 X > 50 100 150 200 250 300 Gestation O Gestation and Longevity Gestation and Longevity 50 7J 40- 40- 30 30 Longevity Longevity 20- 20- 10 10. X X 0 50 100 150 200 250 300 0 50 100 150 200 250 300 Gestation GestationPart 2 of 6 (b) Find the value of correlation coefficient. Round the answer to at least three decimal places. r X 5(c) Find the P-value. Round the answer to at least four decimal places. Part 4 of 6 (d) State the hypotheses. Ho O0 0=0 0#0 p X 5Part 5 of 6 (e) Test the significance of correlation coefficient at a = 0.05. (Choose one) the null hypothesis. X 5 Reject Do not rejectPart 6 of 6 (f) Give a brief explanation of the type of relationship. There (Choose one) sufficient evidence to conclude that a significant linear relationship exists between the gestation and av is certain animals. is not