GATE Data Science and Artificial Intelligence 2024 | Sample Paper | Question: 20

Question

The Pearson's correlation coefficient between $\mathrm{x}$ and $\mathrm{y}$ rounded to the first decimal point for the given data in below table is:

$\mathbf{x}$	$\mathbf{y}$
$-6$	$6.4$
$2$	$4.7$
$0.2$	$8$
$7$	$2$
$-4$	$3.4$

 

• A. $-0.5$
• B. $0.5$
• C. $0.3$
• D. $-0.3$ 

   

Answer 1

Ans: 
It is direct application of formula for Pearson correlation coefficient. 

 

Answer 2

import pandas as pd

 

# Create the data

data = {

    "x": [-6, 2, 0.2, 7, -4],

    "y": [6.4, 4.7, 8, 2, 3.4]

}

 

# Load data into DataFrame

df = pd.DataFrame(data)

 

# Calculate Pearson's correlation coefficient

correlation = df['x'].corr(df['y'], method='pearson')

 

# Round to one decimal place

rounded_correlation = round(correlation, 1)

 

# Print the result

print(rounded_correlation)

# answer is -0.5