The following represents the number of birthday gifts received at different ages. x, age in years y, # gifts 1 12 25 43 55 28 22 15 10 7 a. Use your calculator's functions to find the equation of the least-squares line for the data. (Find the regression line). b. Find the equation of the line using the second point (5, 22) and the last point (55, 2). (SUBMIT WRITTEN WORK) S

The following represents the number of birthday gifts received at different ages. x, age in years y, # gifts 1 12 25 43 55 28 22 15 10 7 a. Use your calculator's functions to find the equation of the least-squares line for the data. (Find the regression line). b. Find the equation of the line using the second point (5, 22) and the last point (55, 2). (SUBMIT WRITTEN WORK) S

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter2: Matrices

Section2.CR: Review Exercises

Problem 90CR

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20 Suppose Wesley is a marine biologist who is interested in the relationship between the age and the size of male Dungeness crabs. Wesley collects data on 1,000 crabs and uses the data to develop the following least-squares regression line where ?X is the age of the crab in months and ?ˆY^ is the predicted value of ?Y, the size of the male crab in cm. ?ˆ=8.2052+0.5693?Y^=8.2052+0.5693X What is the value of ?ˆY^ when a male crab is 21.7865 months old? Provide your answer with precision to two decimal places. ?ˆY^ = Interpret the value of ?ˆY^. The value of ?ˆY^ is the probability that a crab will be 21.7865 months old. the predicted incremental increase in size for every increase in age by 21.7865 months. the predicted size of a crab when it is 21.7865 months old. the predicted number of crabs out of the 1,000 crabs collected that will be 21.7865 months old.
11.6 Use the output from Minitab for these data to answer the following questions. (Instead of using the minitab output given, use R to get a similar output and answer the questions))x 20 36 50 80 95 121 85 63 98 108y 32 75 87 152 195 274 184 123 136 203a. Plot the data on a scatterplot.b. Locate the least-squares prediction from the output given here, and draw the regression line in the scatterplot. c. Does the predicted equation seem to represent the data adequately?d. Predict y when x 5 77.
Suppose Wesley is a marine biologist who is interested in the relationship between the age and the size of male Dungeness crabs. Wesley collects data on 1,000 crabs and uses the data to develop the following least-squares regression line where ?X is the age of the crab in months and ?ˆY^ is the predicted value of ?Y, the size of the male crab in cm. ?ˆ=9.5603+0.3976?Y^=9.5603+0.3976X What is the value of ?ˆY^ when a male crab is 24.9118 months old? Provide your answer with precision to two decimal places. Y=