Answer (Detailed Solution Below)Option 3 : \(\bar x = \;4.5,\;\overline {\;y} = - 0.5\) Show Free Electric charges and coulomb's law (Basic) 10 Questions 10 Marks 10 Mins CONCEPT: Two regression lines always intersect at their mean or average values (\(\bar x,\;\bar y\). In other words if we solve two regression equations we get the average values of x and y. CALCULATIONS: Given equations are x – y – 5 = 0 and x + y – 4 = 0 On adding both the equations 2x = 9 ⇒ x = 4.5 (Also \(\bar x\)) By substituting x = 4.5 in equation x – y – 5 = 0 we get ⇒ y = - 0.5 (Also \(\bar y\)) So, \(\bar x = 4.5 \ and\ \bar y = - 0.5\) Hence, option C is the correct answer. Last updated on Dec 21, 2022 Union Public Service Commission (UPSC) has released the NDA I 2023 Notification for 395 vacancies. Candidates can apply between 21st December 2022 to 10th January 2023. The selection process for the exam includes a Written Exam and SSB Interview. Candidates who get successful selection under UPSC NDA will get a salary range between Rs. 15,600 to Rs. 39,100. It is expected that a new notification for UPSC NDA is going to be released.  ← Prev Question Next Question → 0 votes 14.6k views
asked Jul 4, 2020 in Mathematics by Siwani01 (50.6k points) Two regression lines are represented by 2x + 3y – 10 = 0 and 4x + y – 5 = 0. Find the line of regression of y on x.
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answered Jul 4, 2020 by
Vikram01 (51.7k points) Best answer Given regression lines are Now, from eq. (i) 3y = -2x + 10 ← Prev Question Next Question → Find MCQs & Mock Test
Related questions0 votes 1 answer Two regression lines are represented by 4x + 10y = 9 and 6x + 3y = 4. Find the line of regression of y on x. asked Jul 3, 2020 in Mathematics by Vikram01 (51.7k points)
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... How can the regression lines be identified?A linear regression line has an equation of the form Y = a + bX, where X is the explanatory variable and Y is the dependent variable. The slope of the line is b, and a is the intercept (the value of y when x = 0).
What are the two regression lines?Two regression lines refer to the two variables, say, x and y. If one line represents regression of x upon y then the other shows the regression of y upon x. So, the two regression lines will have an angle of \[{{90}^{\circ }}\], when there is zero coefficient of correlation.
Why are there two regression lines in case of a bivariate series?In regression analysis, there are usually two regression lines to show the average relationship between X and Y variables. It means that if there are two variables X and Y, then one line represents regression of Y upon x and the other shows the regression of x upon Y (Fig. 35.2).
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Test whether the equations 2x + 3y 4 and xy 5 represent valid regression lines
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