Topic: Relationship of Two Variables: Scatterplot, Linear Correlation and Degree of Determination Suppose that data on a random sample of used cars of the same brand and model on mileage (in kilometers) and prices (in vere collected and tabulated, as shown below. Mileage (in km) Price (in pesos) ху (x1000) (x 10,000) 50 50 45 55 60 45 38 55 28 60 29 60 51 50 40 55 100 30 72 38

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Topic: Relationship of Two Variables: Scatterplot, Linear Correlation and Degree of Determination
Suppose that data on a random sample of used cars of the same brand and model on mileage (in kilometers) and prices (in pesos)
were collected and tabulated, as shown below.
Price (in
Mileage (in
km)
pesos)
ху
x2
(x1000)
(x 10,000)
50
50
45
55
60
45
38
55
28
60
29
60
51
50
40
55
100
30
72
38
Transcribed Image Text:Topic: Relationship of Two Variables: Scatterplot, Linear Correlation and Degree of Determination Suppose that data on a random sample of used cars of the same brand and model on mileage (in kilometers) and prices (in pesos) were collected and tabulated, as shown below. Price (in Mileage (in km) pesos) ху x2 (x1000) (x 10,000) 50 50 45 55 60 45 38 55 28 60 29 60 51 50 40 55 100 30 72 38
1. Draw the scatterplot MANUALLY
• Label your x & y variables according to given variable names
• Identify and label correctly the ordered pairs of the 'points' or 'dots'
• Write your analysis and interpretation according to your scatterpoint diagram
2. Compute for the coefficient of correlation (r) MANUALLY.
• Create the table of summations: Ex, Ey, Exy, Ex² and EY2
• Show the complete solution for 'r'
• For the final answer as part of the solution, 'r' value must be rounded up to 4 decimal places.
• Write your analysis and interpretation according to your correlation coefficient (r)
3. Compute for the degree of determination (r2) and interpret the result. Degree of determination (r2) is
expressed in percent form up to 2 decimal places.
Transcribed Image Text:1. Draw the scatterplot MANUALLY • Label your x & y variables according to given variable names • Identify and label correctly the ordered pairs of the 'points' or 'dots' • Write your analysis and interpretation according to your scatterpoint diagram 2. Compute for the coefficient of correlation (r) MANUALLY. • Create the table of summations: Ex, Ey, Exy, Ex² and EY2 • Show the complete solution for 'r' • For the final answer as part of the solution, 'r' value must be rounded up to 4 decimal places. • Write your analysis and interpretation according to your correlation coefficient (r) 3. Compute for the degree of determination (r2) and interpret the result. Degree of determination (r2) is expressed in percent form up to 2 decimal places.
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