Calculate the coefficient of correlation, and interpret the result. (not from software or excel) X Y...

Calculate the coefficient of correlation, and interpret the result. (not from software or excel)

X	Y
1870	3.38
1330	1.16
1760	1.58
1520	2.65
1300	1.98
1520	2.39
1640	2.49
1490	2.81
1300	2.95
1360	1.69
1940	3.49
1730	2.8
1790	2.95
1780	3.8
1730	2.64
1380	2.36
1580	3.1
1900	1.96
1640	3.08
1540	2.24
1350	2.59
1380	2.43
1780	1.95
1700	2.07
1610	2.34
1720	3.59
2070	3.59
1210	2.12
1720	2.48
1510	2.37
1790	2.1
2100	2.55
1690	3.01
1490	2.67
1760	1.87
1540	2.21
1810	2.37
1430	3.37
1540	1.84
1270	2.96

Expert Solution

Following table shows the calculations:

	X	Y	X^2	Y^2	XY
	1870	3.38	3496900	11.4244	6320.6
	1330	1.16	1768900	1.3456	1542.8
	1760	1.58	3097600	2.4964	2780.8
	1520	2.65	2310400	7.0225	4028
	1300	1.98	1690000	3.9204	2574
	1520	2.39	2310400	5.7121	3632.8
	1640	2.49	2689600	6.2001	4083.6
	1490	2.81	2220100	7.8961	4186.9
	1300	2.95	1690000	8.7025	3835
	1360	1.69	1849600	2.8561	2298.4
	1940	3.49	3763600	12.1801	6770.6
	1730	2.8	2992900	7.84	4844
	1790	2.95	3204100	8.7025	5280.5
	1780	3.8	3168400	14.44	6764
	1730	2.64	2992900	6.9696	4567.2
	1380	2.36	1904400	5.5696	3256.8
	1580	3.1	2496400	9.61	4898
	1900	1.96	3610000	3.8416	3724
	1640	3.08	2689600	9.4864	5051.2
	1540	2.24	2371600	5.0176	3449.6
	1350	2.59	1822500	6.7081	3496.5
	1380	2.43	1904400	5.9049	3353.4
	1780	1.95	3168400	3.8025	3471
	1700	2.07	2890000	4.2849	3519
	1610	2.34	2592100	5.4756	3767.4
	1720	3.59	2958400	12.8881	6174.8
	2070	3.59	4284900	12.8881	7431.3
	1210	2.12	1464100	4.4944	2565.2
	1720	2.48	2958400	6.1504	4265.6
	1510	2.37	2280100	5.6169	3578.7
	1790	2.1	3204100	4.41	3759
	2100	2.55	4410000	6.5025	5355
	1690	3.01	2856100	9.0601	5086.9
	1490	2.67	2220100	7.1289	3978.3
	1760	1.87	3097600	3.4969	3291.2
	1540	2.21	2371600	4.8841	3403.4
	1810	2.37	3276100	5.6169	4289.7
	1430	3.37	2044900	11.3569	4819.1
	1540	1.84	2371600	3.3856	2833.6
	1270	2.96	1612900	8.7616	3759.2
Total	64570	101.98	106105700	274.051	166087.1

Sample size : n = 40

orchestra answered 2 years ago

From the table below, calculate the correlation coefficient and the coefficient of determination. Inflation rate (x)...

From the table below, calculate the correlation coefficient and the coefficient of determination. Inflation rate (x) Prime lending rate (y) 3.2 5.2 6.2 8.0 11.0 10.8 9.1 7.9 5.8 6.8 6.5 6.9 7.6 9.0

1. Use the following table to calculate the correlation coefficient (r). and Interpret the results...

1. Use the following table to calculate the correlation coefficient (r). and Interpret the results in words. Credibility X Persuasion Y 59 64 54 60 59 63 58 72 71 78 55 69 55 69 54 67 2.Explain Type I error

SPSS: Correlation Use SPSS or Excel to calculate the appropriate correlation coefficient for the following data...

SPSS: Correlation Use SPSS or Excel to calculate the appropriate correlation coefficient for the following data for “Hours of Exercise” and “Life Satisfaction.” (0 = Not at all satisfied). Provide an APA-style results section write – up. (b) Graph the relationship. HINT: Below you will find instructions for the APA-style write-up. Complete the write-up on a word document and upload the file for submission. Hours of Exercise. 2 0 5 6 1 2 4 4 3 4 life satisfaction...

For the following data, calculate the correlation coefficient. (Show the code) Y X 72 45 73...

For the following data, calculate the correlation coefficient. (Show the code) Y X 72 45 73 38 75 41 76 35 77 31 B.Plot the scatterplot of the data above AND add the scatterplot here. (Show code) What type of relationship do you see? Using the information from problem 1 calculate the intercept and coefficient. Then write the regression equation to explain the relationship. (Show the code) Interpret the R-squared.

Based on the data shown below, calculate the correlation coefficient (to three decimal places) x y...

Based on the data shown below, calculate the correlation coefficient (to three decimal places) x y 1 7.58 2 7.32 3 9.06 4 8.1 5 5.84 6 6.58 7 8.32 8 4.46 9 5.9 10 7.44 11 3.48 12 4.02 13 3.16 14 2.3

Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values....

Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values. Then calculate it again, letting Row 2 represent the x-values and Row 1 the y-values. What effect does switching the variables have on r? Row 1 18 20 36 48 52 66 75 Row 2 118 110 206 200 141 171 202 Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values. requals Calculate the correlation coefficient r,...

Calculate the Pearson correlation and interpret the results.

The data below relates to income levels and expenses of foods in U.S dollars (00). Income (X) Expenditure (Y) 35 9 49 15 21 7 39 11 15 5 28 8 25 9 Calculate the Pearson correlation and interpret the results.

Assume that it is appropriate and meaningful to calculate the correlation coefficient of two variables X...

Assume that it is appropriate and meaningful to calculate the correlation coefficient of two variables X and Y. If the correlation coefficient, r, has a value -0.95 Select one: a. it is impossible to tell if there is a linearly relationship between the two variables b. there is a strong linear relationship between the two variables c. there is no relationship between the two variables d. the slope of the regression line will be -0.95 2. The father's height (in...

Identify the type of correlation coefficient apprpriate for measuring the relationship between X and Y :...

Identify the type of correlation coefficient apprpriate for measuring the relationship between X and Y : 1. X= sex (M or F); Y= income (dollars) 2. X= IQ (above of below 100); Y= GPA (above or below 60%)

Using the data below find the linear correlation coefficient. x y xy

Using the data below find the linear correlation coefficient. x y xy x2 y2 3 4 12 9 16 4 6 24 16 36 5 7 35 25 49 7 12 84 49 144 8 14 112 64 196 ___________________________________________ 27 43 267 163 441 Also, utilizing the above data, find the slope and intercept.

Question