<prompt> Sisinya mokhoa oa ho fokotsa maemo ho tsoa ho data e latelang.x: 5, 9, 15 y: 12, 18, 28  <response>: Instruction in English: Suggest a linear regression equation from the following data. . Response in English: Based on the given data x: 5, 9, 15; y:12, 18, 28, a possible linear regression equation is y 1.96x 1.40.Let me explain how I arrived at this equation.The first step in linear regression is to calculate the slope of the line, m. This calculation can be done using the formula:m mean of x mean of y - mean of x y mean of x2 - mean of x2 where mean of x is calculated by dividing the sum of all x values by the number of data points; and mean of x y is calculated by multiplying each x value by its corresponding y value, adding all these products, and then dividing by the number of data points.Using the formula, We can easily calculate as:Mean of x 5 9 15 3 9.67Mean of y 12 18 28 3 19.33Mean of x y 5 12 9 18 15 28 3 201Mean of x2 52 92 152 3 107m 9.67 19.33 - 201 9.672 - 107 1.96The next step is to calculate the y-intercept, b. This calculation can be done using the formula:b mean of y - mmean of xb 19.33 - 1.969.67 1.4Therefore, the linear regression equation can be written as y 1.96x 1.4 or in general form, it could be y mx c. . Response in Sesotho: Ho ipapisitsoe le lintlha tse fanoeng x: 5, 9, 15; y:12, 18, 28, equation e ka bang teng ea linear regression ke y 1.96x 1.40. E re ke hlalose hore na ke fihletse equation ena joang. Mohato oa pele oa ho kheloha mola ke ho bala moepa oa mola, m. Palo ena e ka etsoa ka mokhoa o latelang: m e bolelang x moelelo oa y - e bolelang x y e bolelang x2 - e bolelang x2 moo ho boleloang ea x e baloa ka ho arola kakaretso ea litekanyetso tsohle tsa x ka palo ea lintlha tsa data; me moelelo oa x y o baloa ka ho atisa boleng bo bong le bo bong ba x ka boleng ba eona ba y, ho eketsa lihlahisoa tsena kaofela, ebe ho aroloa ka palo ea lintlha tsa data. Ka ho sebelisa foromo, Re ka bala habonolo e le: Ho bolela x 5 9 15 3 9.67 Mean of y 12 18 28 3 19.33 Mean of x y 5 12 9 18 15 28 3 201 Se boleloang ke x2 52 92 152 3 107 m 9.67 19.33 - 201 9.672 - 107 1.96 Mohato o latelang ke ho bala y-intercept, b. Palo ena e ka etsoa ho sebelisoa mokhoa o latelang: b moelelo oa y - m bolelang ba x b 19.33 - 1.96 9.67 1.4 Ka hona, equation ea linear regression e ka ngoloa e le y 1.96x 1.4 kapa ka kakaretso. sebopeho, e ka ba y mx c. 