2. A company leases animals, which have been trained to perform certain tasks, for use in the movie industry. The table below gives the number of tasks that each of nine monkeys in a random sample can perform, along with the number of years the monkeys have been working with the company. Name Years (x) 10 Tasks (y) 28 Halie Fred SuSu Henri Jo Peep Cleo Jeep Mag 0.4 23 8 6.5 6 5 1.5 0.5 28 0.5 15 24 28 27 23 6 The random variable Y, denotes the number of tasks and X; the number of years for each monkey, i = 1,.,9. a. Calculate the least squares simple linear regression line. (Hint: Use the regression function in your calculator.) b. Suppose the company receives a new 15-year-old monkey named Layla. Calculate the predicted number of tasks that Layla can perform. c. What is the technique used in b) called?
2. A company leases animals, which have been trained to perform certain tasks, for use in the movie industry. The table below gives the number of tasks that each of nine monkeys in a random sample can perform, along with the number of years the monkeys have been working with the company. Name Years (x) 10 Tasks (y) 28 Halie Fred SuSu Henri Jo Peep Cleo Jeep Mag 0.4 23 8 6.5 6 5 1.5 0.5 28 0.5 15 24 28 27 23 6 The random variable Y, denotes the number of tasks and X; the number of years for each monkey, i = 1,.,9. a. Calculate the least squares simple linear regression line. (Hint: Use the regression function in your calculator.) b. Suppose the company receives a new 15-year-old monkey named Layla. Calculate the predicted number of tasks that Layla can perform. c. What is the technique used in b) called?
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.5: Interpreting Data
Problem 1C
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Transcribed Image Text:2. A company leases animals, which have been trained to perform certain tasks, for use in
the movie industry. The table below gives the number of tasks that each of nine
monkeys in a random sample can perform, along with the number of years the
monkeys have been working with the company.
Name
Halie Fred SuSu Henri
Jo
Peep Cleo
Jeep
Mag
Years (x)
10
8
6.5
6
1.5
0.5
0.5
0.4
Tasks (y)
28
24
28
28
27
23
15
6
23
The random variable Y, denotes the number of tasks and X, the number of years for each
monkey, i = 1,.,9.
a. Calculate the least squares simple linear regression line. (Hint: Use the regression
function in your calculator.)
b. Suppose the company receives a new 15-year-old monkey named Layla. Calculate the
predicted number of tasks that Layla can perform.
c. What is the technique used in b) called?
d. Using the fitted regression line, calculate the residual of SuSu's data.
e. Suppose that more data became available and the following standardised residual plot
was obtained.
2.
o8
o o
5
10
15
20
25
Tasks (x)
Based on the residual plot, comment on the adequacy of the fitted linear regression model.
Standardised Residuals
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