<prompt> Bala palo ea ho fokotseha r ho latela lintlha tse latelangx: 1, 2, 3, 4 y: 6, 5, 7, 8  <response>: Instruction in English: Compute the regression coefficient r given the following data . Response in English: Based on the given data, we can compute the regression coefficient, commonly known as Pearsons r or the correlation coefficient, using the formula: r nxy - xy sqrt nx2 - x2 ny2 - y2 where, n is the number of observations, x is the sum of x values, y is the sum of y values, and xy is the sum of x times y.To calculate r, we will use the given input values of x and y.x: 1, 2, 3, 4y: 6, 5, 7, 8n 4 number of observationsx 1234 10y 6578 26xy 16253748 70x2 12 22 32 42 30y2 62 52 72 82 174Now, we can plug these values into the formula:r 4xy - xy sqrt 4x2 - x2 4y2 - y2 470 - 1026 sqrt 430 - 102 4174 - 262 .8Therefore, the regression coefficient Pearsons r is .8. . Response in Sesotho: Ho ipapisitsoe le lintlha tse fanoeng, re ka khoasolla coefficient ea khatello, e tsejoang ka hore ke Pearsons r kapa coefficient ea correlation, re sebelisa mokhoa ona: r nxy - xy sqrt n x2 - x2 ny2 - y2 moo, n ke palo ea tse shebiloeng, x ke kakaretso ea litekanyetso tsa x, y ke kakaretso ea boleng ba y, me xy ke kakaretso ea x makhetlo a y. Ho bala r, re tla sebelisa litekanyetso tse fanoeng tsa x le y. x: 1, 2, 3, 4 y: 6, 5, 7, 8 n 4 palo ea tse shebiloeng x 1234 10 y 6578 26 xy 16253748 70 x2 12 22 32 42 30 y2 62 52 72 82 174 Joale, re ka hokela boleng bona foromong: r 4xy - xy sqrt 4x2 - x2 4y2 - y2 470 - 10 26 sqrt 430 - 102 4174 - 26 2 .8 Ka hona, coefficient ea regression Pearsons r ke .8. 