Consider the following set of ordered pairs. 2 3 2 y 8 7 3 Calculate the coefficient of determination and test its significance using a = 0.05. Click the icon to view a partial ANOVA table. Click the icon to view a partial table of critical F-scores with 0.05 in the right tail of the distribution. Calculate the coefficient of determination. R? = (Round to three decimal places as needed.) Partial ANOVA ANOVA d.f. SS MS F Regression 1 24.457 Error 1.543 Total 4 26.0 Print Done
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![Consider the following set of ordered pairs.
2
y
2
8
7
Calculate the coefficient of determination and test its significance using a = 0.05.
Click the icon to view a partial ANOVA table.
Click the icon to view a partial table of critical F-scores with 0.05 in the right tail of the distribution.
Calculate the coefficient of determination.
(Round to three decimal places as needed.)
%3D
Partial ANOVA
ANOVA
d.f.
MS
F
Regression
1
24.457
Error
3
1.543
Total
4
26.0
Print
Done
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![Table of critical f-scores
AREA IN THE RIGHT TAIL OF DISTRIBUTION = 0.05
D,
D2
1
2
4
5
8
10
1
161.448
199.500
215.707
224.583
230.162
233.986
236.768
238.883
240.543
241.882
18.513
19.000
19.164
19.247
19.296
19.330
19.353
19.371
19.385
19.396
3
10.128
9.552
9.277
9.117
9.013
8.941
8.887
8.845
8.812
8.786
4
7.709
6.944
6.591
6.388
6.256
6.163
6.094
6.041
5.999
5.964
6.608
5.786
5.409
5.192
5.050
4.950
4.876
4.818
4.772
4.735
6.
5.987
5.143
4.757
4.534
4.387
4.284
4.207
4.147
4.099
4.060
5.591
4.737
4.347
4.120
3.972
3.866
3.787
3.726
3.677
3.637
8
5.318
4.459
4.066
3.838
3.687
3.581
3.500
3.438
3.388
3.347
5.117
4.256
3.863
3.633
3.482
3.374
3.293
3.230
3.179
3.137
10
4.965
4.103
3.708
3.478
3.326
3.217
3.135
3.072
3.020
2.978
1
3
4
5
6.
10
D,
Print
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