Consider the following table of data. 2 2 1 1 10 y 3 2 10 a. Calculate the least squares line and the correlation coefficient. b. Repeat part (a), but this time delete the last point. c. Draw a graph of the data, and use it to explain the dramatic difference between the answers to parts (a) and (b). ..... a. The least squares line is Y = x+. (Use integers or decimals for any numbers in the equation. Round to four decimal places as needed.) The correlation coefficient r is (Type an integer or decimal rounded to four decimal places as needed.) b. After deleting the last point, the least squares line is Y = x+. (Use integers or decimals for any numbers in the equation. Round to four decimal places as needed.) After deleting the last point, the correlation coefficient r is. (Type an integer or decimal rounded to four decimal places as needed.)

Consider the following table of data. 2 2 1 1 10 y 3 2 10 a. Calculate the least squares line and the correlation coefficient. b. Repeat part (a), but this time delete the last point. c. Draw a graph of the data, and use it to explain the dramatic difference between the answers to parts (a) and (b). ..... a. The least squares line is Y = x+. (Use integers or decimals for any numbers in the equation. Round to four decimal places as needed.) The correlation coefficient r is (Type an integer or decimal rounded to four decimal places as needed.) b. After deleting the last point, the least squares line is Y = x+. (Use integers or decimals for any numbers in the equation. Round to four decimal places as needed.) After deleting the last point, the correlation coefficient r is. (Type an integer or decimal rounded to four decimal places as needed.)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

I need the answer quickly

Consider the following table of data.
2
2
1
10
y
3
3
10
a. Calculate the least squares line and the correlation coefficient.
b. Repeat part (a), but this time delete the last point.
c. Draw a graph of the data, and use it to explain the dramatic difference between the answers to parts (a) and (b).
.....
a. The least squares line is Y = x+.
(Use integers or decimals for any numbers in the equation. Round to four decimal places as needed.)
The correlation coefficient r is.
(Type an integer or decimal rounded to four decimal places as needed.)
b. After deleting the last point, the least squares line is Y =
(Use integers or decimals for any numbers in the equation. Round to four decimal places as needed.)
After deleting the last point, the correlation coefficient r is.
(Type an integer or decimal rounded to four decimal places as needed.)
c. Which of the following is the correct graph of the given data?
A.
В.
С.
D.
12-
10-
8-
12-
10-
8구
6-
4-
21
12-
10-
8구
12-
10-
8-
4-
2-
0-
0 24 6 8 1012
0+
0 24 6 81012
0 2 4 6 8 1012
0 24 6 81012
Using the graph, explain the dramatic difference between the answers to parts (a) and (b). Choose the correct answer
below.
A. The point (10,10) is not an outlier, but it does have a strong effect on the least squares line and the correlation
coefficient.
B. The point (10,10) is an outlier that has a strong effect on the least squares line and the correlation coefficient.
O C. The point (10,10) is an outlier that has a weak effect on the least squares line and the correlation coefficient.
O D. The point (10,10) does not have any effect on the least squares line and the correlation coefficient.

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