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Question 20 Questions 20 through 24 refer to the following output: ?x = 55 ?x 2

ID: 1100666 • 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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