<prompt> Kenya lintlha tse latelang ho mofuta oa linear regression.x 1, 2, 3, 4, y 2, 4, 6, 8.  <response>: Instruction in English: Fit the following data into a linear regression model. . Response in English: Based on the input data provided, we can fit these values into a linear regression model. Linear regression is a statistical approach for modeling the relationship between a dependent variable y and one or more independent variablesin predictors x.In this example, we can see that the relationship between x and y is linear, which can be expressed by the equation y mx b, where m is the slope of the line and b is the y-intercept.The slope of the line can be calculated as:m meanx meany meanxy meanx2 mean x2Substituting the values we have:m 2.5 5 - 4.5 2.52 - 7.5 2To calculate the value of b y-intercept, we can use the equation: b meany mmeanxSubstituting the values we have:b 5 - 2 2.5 0Hence the equation for the linear regression model for the given dataset will be y 2x 0Here, the coefficient of determination, R2 is 1 indicating that the model explains all the variability of the response data around its mean.This means that for every unit increase in x, there will be a corresponding increase of 2 units in y. . Response in Sesotho: Ho ipapisitsoe le lintlha tse kentsoeng, re ka lumellana le litekanyetso tsena ho mofuta oa linear regression model. Linear regression ke mokhoa oa lipalo-palo oa ho etsa mohlala oa kamano lipakeng tsa mofuta o itšetlehileng ka y le mofuta o le mong kapa ho feta tse ikemetseng ho li-predictors x. Mohlaleng ona, re ka bona hore kamano pakeng tsa x le y e na le mola, e ka hlahisoang ke equation y mx b, moo m e leng letsoapo la mola le b e le y-intercept. Moepa oa mola o ka baloa e le: m bolelax bolelay bolelaxy bolelax2 bolelax2 Ho fetola boleng boo re bo etsang. na le: m 2.5 5 - 4.5 2.52 - 7.5 2 Ho bala boleng ba b y-intercept, re ka sebelisa equation: b bolela y - mmeanx Ho fetola litekanyetso tseo re nang le tsona: b 5 - 2 2.5 0 Kahoo equation ea mohlala oa linear regression bakeng sa dataset e fanoeng e tla ba y 2x 0 Mona, coefficient of determination. , R2 ke 1 e bontšang hore mohlala o hlalosa ho fapana hohle ha data ea karabo e potolohileng moelelo oa eona. Sena se bolela hore bakeng sa keketseho e ngoe le e ngoe ho x, ho tla ba le keketseho e tsamaellanang ea li-unit tse 2 ho y. 