Regression lines calculator
Find both regression lines and the correlation coefficient the way ISC Mathematics asks: from the pairs of data (with the deviation table), from summary numbers like Σx and Σxy, or from the two regression lines (which is which, the means and r). Add a value to estimate the other.
Answer
- Regression line of y on x
- y = (-3/2)x + 13
- Regression line of x on y
- x = (-1/6)y + 31/6
Values
- x̄ (mean of x)
- 4
- ȳ (mean of y)
- 7
- b_yx
- -3/2
- b_xy
- -1/6
- r (correlation)
- -0.5
The lines
- Regression line of y on x: y - 7 = (-3/2)(x - 4), so y = (-3/2)x + 13
- Regression line of x on y: x - 4 = (-1/6)(y - 7), so x = (-1/6)y + 31/6
Practise on real ISC questions
- Read the following statements and choose the correct option. (I) The correlation coefficient and the… 2025
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- The graph below shows the two lines of regressions for a certain set of $x$ and $y$ values. What is the mean… 2025 Practice
- Which one of the following statements is correct? 2025 Improvement
- Given that the observations are $(9,-4), (10, -3), (11,-1), (13,1), (14,3), (15,5), (16,8)$, find the two… 2018 Specimen
- The following table shows the Mean, the Standard Deviation and the coefficient of correlation of two… 2023
- Statement 1: Two regression coefficients cannot have the same sign. Statement 2: Both the regression… 2026
- Find the equation of the regression line of $y$ on $x$, if the observations $(x, y)$ are as follows… 2021 Specimen
- Out of the two regression lines given below, find the line of regression of $x$ on $y$. $x + 2y - 5 = 0$ and… 2025 Improvement
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