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4. In a 2008 paper published in the Canadian Journal of Zoology, researchers recor the age, T. in years and height, W, in inches of 6 black bears in one forest. The coefficient is 0.64 Age Hatght () (2 pts) Explain what is minimized by a regression line 1 12 10.5 54 2 S2 6.3 401 3 3 28.5 62 4 12 10.5 51 1 5 Sh 6.5 52 6 incs Vues 7.5 56 2 Mean 11.7 St Dev .5 7.3(b) (6 pts) Use the least-squares method to find the equa- tion for the best fit line for the data. The correlation coefficient is given above. a 53-2331.)34) Y23.4+2.53x (c) (2 pts) What is the estimated height of a 15-year-old bear?
Problem 4 Continued (d) (2 pts it the dats from the oldet bear was temoved, cond this sndastanially affect this estimate? Why or why not Yes Beae he B an odle (e) (9 pts) Use a two.tailed teteat about the correlation coeficient to deternine there is a linear relationship between height and age in the forests overall black bear population with 95% confidence, write the hypothesesand conduct statis- tical test using a p-value, Find a p-value rather than a critical value or confidence interval to conduct You may assume the test conditions are met, use earlier values, and use the ac that se -6.31 he test, and explain your reasoning, Interpret your answer. heow uen hey tHA ho liheug yehtwó C3-112) OS 0.
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