The document presents data on the math and English scores of 5 students. It asks to compute the Spearman Rank Correlation Coefficient and Pearson's Correlation Coefficient between the scores. The Spearman Rank Correlation Coefficient is -0.96, indicating a very strong negative correlation between ranks. Pearson's Correlation Coefficient is -0.99, also indicating a very strong negative correlation. The document also provides price and age data for 8 cars and asks to find the regression line and make predictions based on the line.
1. “ Spearman Rank Correlation Coefficient”
Presented by : Eng. Waleed Alzaghal
You Tube Channel : Waleed Alzaghal
2. The scores of five students in Math and English are shown in below table.
Compute the Spearman Rank Correlation Coefficient for these data. Consider the
rank of the score is as the following:
• 90 – 100 Excellent
• 80 – 89 Very Good
• 70 – 79 Good
• 60 – 69 Weak
Student Math Score (x) English Score (y) Results(x) Results (y)
1 95 97 Excellent Excellent
2 90 92 Excellent Excellent
3 75 80 Good Very Good
4 85 78 Very Good Good
5 60 68 Weak Weak
3. 1- Display the Scatter Plot.
2- Find the Equation of the Regression Line.
3- Draw the Regression Line.
4- Compute the Pearson’s Correlation Coefficient.
5- Compute the Spearman Rank Correlation Coefficient.
6- Predict the value of ŷ for x = 1 , x = 4
7- Compute the Error of Prediction for x = 9
8- Compute the Least Squares of Errors.
9- Compute the Sum of Squares of Errors for the following Equation:
ŷ = - 36.00 x + 322.44
Obs. Age (x) Price(y)
1 8 45
2 3 210
3 6 100
4 9 33
5 2 267
6 5 134
7 6 109
8 3 235
The price of 8 cars (in hundred dollars) with different ages (in year) are in below table: