Please show all steps clearly Find the equation of the ragression line for the g

Question

Please show all steps clearly Find the equation of the ragression line for the given data. Then use the regression equation to predict the value of y for each of the given x-values The number of hours 6 students spent for a test and thair scores on that test ane shown below rs spent studying Find the regression equation Predict the value of y for K-2 § b Predict the value of y for x- Show your work in the pop-up show work window using a step-by-step process If the show work window does not automaicaly pop up, click on the show work buton Aher you complete your work in the show work window, click on Yes below to verify that you have shown your work and go on to the next question

Explanation / Answer

Ans:

Regression Equation(y) = a + bx

Slope(b) = (NXY - (X)(Y)) / (NX2 - (X)2)

Intercept(a) = (Y - b(X)) / N

a)

slope,b=(6*1206-21*314)/(6*91-21^2)=6.114

y-intercept,a=(314-6.1143*21)/6=30.933

Regression eqn:

y'=a+bx

y'=30.933+6.114x

b)

when x=3

y'=30.933+6.114*3=49.275

c)

when x=2.5

y'=30.933+6.114*2.5=46.218

x y xy x^2 y^2 1 38 38 1 1444 2 44 88 4 1936 3 53 159 9 2809 4 45 180 16 2025 5 63 315 25 3969 6 71 426 36 5041 Total= 21 314 1206 91 17224

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