Question

In: Statistics and Probability

Below are the results of a comparison of serum glucose results for a series of samples...

Below are the results of a comparison of serum glucose results for a series of samples analyzed at a Core Lab with the glucose results for the same serum samples analyzed in the Emergency Department (ED) Lab.

Specimen # Core Lab ED Lab

1 130 126

2 206 198

3 83 78

4 104 100

5 256 250

6 57 53

7 476 464

8 579 560

9 217 211

10 35 32

11 65 60

12 92 86

13 261 252

14 319 304

15 179 170

16 79 75

What is the correlation coefficient for serum glucose results between the two labs?

What is the linear regression for glucose results from the ED Lab (y) versus glucose results from the Core Lab (x)?

What can you conclude about the performance of the ED Lab for glucose?

Expert Solution

Consider the following table:

Pair_Number	x	y	xy	x²	y²
1	130	126	16380	16900	15876
2	206	198	40788	42436	39204
3	83	78	6474	6889	6084
4	104	100	10400	10816	10000
5	256	250	64000	65536	62500
6	57	53	3021	3249	2809
7	476	464	220864	226576	215296
8	579	560	324240	335241	313600
9	217	211	45787	47089	44521
10	35	32	1120	1225	1024
11	65	60	3900	4225	3600
12	92	86	7912	8464	7396
13	261	252	65772	68121	63504
14	319	304	96976	101761	92416
15	179	170	30430	32041	28900
16	79	75	5925	6241	5625
SUM	3138	3019	943989	976810	912355

The correlation coefficient is:

-----------------------------------------------------------------------------------------------

The slope is:

The y-intercept is:

The regression equation is:

-----------------------------------------------------------------------------------------------

There is a very strong positive association between variables Core Lab and ED Lab.

orchestra answered 2 years ago

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