Question 20 Questions 20 through 24 refer to the following output: ?x = 55 ?x 2
ID: 1100665 • Letter: Q
Question
Question 20
Questions 20 through 24 refer to the following output:
?x = 55 ?x2 = 385 ?xy = 1516
?y = 323.6 ?y2 = 11,372.02
Regression Equation: y = 49.94667 - 3.19758x
Source
SS
df
MS
F
Regression
843.5205
1
843.5205
118.7984
Error
56.80352
8
7.100439
Total
900.324
9
How many observations were used in the above regression?
8
9
10
11
132
Question 21
What percentage of the observed variability in Y is explained by X?
0%
100%
87.22%
96.79%
93.69%
Question 22
What is the correlation between X and Y?
0.9947
0.8793
-0.7926
-0.9256
-0.9679
Question 23
Give the value of the t statistic for testing whether the slope between X and Y is zero.
-5.9035
10.8995
5.9035
-3.1416
-10.8995
Question 24
Find a 98% confidence interval for the average value of Y when X is 8.
24.366 2.576
24.366 3.235
24.366 6.791
24.366 1.059
24.366 2.446
Source
SS
df
MS
F
Regression
843.5205
1
843.5205
118.7984
Error
56.80352
8
7.100439
Total
900.324
9
Explanation / Answer
20.c. 10
21. d. 96.79%
22.b. 0.8793
23. a. -5.9035
24. c.
24.366
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