Question
Which method would be most effective in identifying the
relationship strength between two continuous variables?Solution
The correlation coefficient quantifies the strength and direction of a linear relationship between two continuous variables. Values close to +1 or -1 indicate a strong positive or negative relationship, respectively, while values near 0 suggest a weak or no linear relationship. Calculating the correlation coefficient is particularly useful in EDA as it helps analysts understand potential dependencies between variables, which can influence modeling and feature selection decisions. This metric is essential for identifying patterns that might not be evident through simple visualization. Option A is incorrect as histograms display frequency distribution, not relationships. Option B is incorrect because box plots are used to display distribution and identify outliers, not relationships. Option D is incorrect as pie charts are used for categorical data proportions, not continuous variable relationships. Option E is incorrect because line plots are for trends over time, not relationship strength between two variables.
Determine the value of 'x' if the average of the numbers 32, 34, 38, 21, 26, and 'x' is 30.
Simplify the following expression -:
120 + 480 ÷ 16 × 6 + {(240 ÷ 2.5) × 5 + 120} ÷ 5
1, 4, 13, 36, 97, ?
A train takes 3 hours to travel a certain distance at a speed of 60 km/h. If the speed is increased by 20 km/h, how long will it take to cover the same ...
Vectors a, b, and c satisfy a ⋅  ( b × c ) = 0, and no two of them are zero. Which of the following is necessarily true?
What is the total amount allocated to Research and Development and Operations combined?
If the angles of a triangle are (x + 25) degrees, (x + 59) degrees and '10x' degrees, then what is the value of '7x'?
At 9:30 a.m., the length of a pole’s shadow is equal to its height. What is the sun’s altitude at this time?
(28 × 5 ÷ 7) × 6 = ?
A triangular prism has a triangular base with a height of 6 cm and a base length of 8 cm. If the height of the prism is 10 cm, what is the volume of the...