The image contains a table of paired values (x, y), followed by an instruction to determine the correlation coefficient. The table data is as follows:| x | y ||-----|----------|| 41.4 | 345.4 || 24.2 | 501.1 || 33.6 | 255.3 || 35.1 | 645.1 || 48.3 | 1159.1 || 37.5 | 411.5 || 40.3 | 446.1 || 44.1 | 513 || 41.1 | 1355.9 || 41.6 | -212.6 || 56.5 | -31.3 || 46.4 | 509.2 || 41.1 | -13.8 || 30.8 | 103.7 || 153.4| 6951.2 |The accompanying instruction reads:"Use your graphing calculator to determine the correlation coefficient for this data set. Round your answer to the nearest thousandth."A text box labeled "r = " is provided for input.No graphs or diagrams are included here, but the table lists numerical values that will be used to calculate the correlation coefficient, an indicator of the linear relationship between x and y.

Correlation Coefficient: X Y X - X (X - X)2 Y-Y (Y-Y)2 (X-X)(Y-Y) 41.4 -345.4 -6.293 39.60185…

Answered: X y 41.4 -345.4 24.2 -501.1 33.6 255.3…

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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y 67.7 21.7 184.2 73.9 64.2 19.6 73.1 31.9 86.8 28 83.7 24.8 58.5 8.8 84.9 38.4 78.5 10.7 67.8 39.5 52.5 23.7 49 22 74.4 10 82 29.4 77.4 19.3 82.8 28 72.4 11.4 79 23.7 85.6 48.7 65.2 17.4 79.2 16.2 107.8 49 69.4 19.7 79.1 31.7 82.1 14.6 75.9 29.4 Make a scatter plot of this data. Which point appears to be an outlier? |(184.2,73.9) (Enter as an ordered pair.)
68 70 17 19 17 18 20 22 18 26 25 25 18 19 20 18 20 18 100 18 19 18 26 18 18 7. Mean = 8. Median = 9. Mode =
5,6 and 7
The scores of a test for an engineering class of 30 students are shown here. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) Scores: 81, 54, 55, 56, 96, 86, 98, 61, 90, 52, 92, 76, 66, 84, 79, 70, 71, 88, 62, 74, 53, 65, 55, 78, 79, 58, 60, 72, 51,80 (a) Determine the frequency (f), midpoint (x), and xf for each range and fill in the table below. (First, organize the scores into the following ranges: 50-59, 60-69, 70-79, 80-89, and 90-99.) (b) Using the following equation, determine the mean value (x) and fill in the table below. Σ(XA) n X = (c) Calculate (x − x) for each range and fill in the table below. (d) Calculate (x - x)²f for each range and fill in the table below. Range Frequency f Midpoint x 50-59 60-69 70-79 80-89 90-99 S = Enter a number. S = (e) Using the following equation, compute the standard deviation of the class scores. Σ(x-x) ²f n - 1 Σ(x-x) ²4 n - 1 = xf 29 X X - X (x - x)²f
The accompanying data represent the miles per gallon of a random sample of cars with a three-cylinder, 1.0 liter engine. (a) Compute the z-score corresponding to the individual who obtained 38.3 miles per gallon. Interpret this result. (b) Determine the quartiles. (c) Compute and interpret the interquartile range, IQR. (d) Determine the lower and upper fences. Are there any outliers? E Click the icon to view the data. (a) Compute the A-score corresponding to the individual who obtained 38.3 miles per gallon. Interpret this result. standard deviation(s) V the The z-score corresponding to the individual is and indicates that the data value is (Type integers or decimals rounded to two decimal places as needed.) Enter your answer in the edit fields and then click Check Answer. Clear All 4 parts remaining 5 Drive tCon- Student port MacBook Air
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X	Y	$X - X$	${(X - X)}^{2}$	$Y - Y$	${(Y - Y)}^{2}$	$(X - X) (Y - Y)$
41.4	-345.4	-6.293	39.60185	-967.753	936545.869	6090.07
24.2	-501.1	-23.493	551.921	-1123.45	1262146.643	26393.28
33.6	255.3	-14.093	198.6126	-367.053	134727.9048	5172.878
35.1	645.1	-12.593	158.5836	22.747	517.426009	-286.453
48.3	1159.1	0.607	0.368449	536.747	288097.342	325.8054
37.5	411.5	-10.193	103.8972	-210.853	44458.98761	2149.225
40.3	-446.1	-7.393	54.65645	-1068.45	1141591.813	7899.073
44.1	513	-3.593	12.90965	-109.353	11958.07861	392.9053
41.1	1355.9	-6.593	43.46765	733.547	538091.2012	-4836.28
41.6	-212.6	-6.093	37.12465	-834.953	697146.5122	5087.369
56.5	-31.3	8.807	77.56325	-653.653	427262.2444	-5756.72
46.4	-509.2	-1.293	1.671849	-1131.55	1280412.192	1463.098
41.1	-13.8	-6.593	43.46765	-636.153	404690.6394	4194.157
30.8	103.7	-16.893	285.3734	-518.653	269000.9344	8761.605
153.4	6951.2	105.707	11173.97	6328.847	40054304.35	669003.4
$\sum_{} X = 715.4$	$\sum_{} Y = 9335.3$		$\sum_{} {(X - X)}^{2} = 12783.1893$		$\sum_{} {(Y - Y)}^{2} = 47490952.14$	$\sum_{} (X - X) (Y - Y) = 726053.4453$