Question 3: Solve them Part A Examine the given set of ( x , y ) data points and

Question

Question 3: Solve them

Part A

Examine the given set of ( x , y ) data points and using linear regression techniques to determine the value of the slope of the line of best fit.

given data:

{ ( 2 , 11 ) , ( 5 , 23 ) , ( 9 , 39 ) }

Examine the given set of ( x , y ) data points and using linear regression techniques to determine the value of the y - intercept of the line of best fit.

given data:

{ ( 2 , 1 ) , ( 5 , ?5 ) , ( 9 , ?13 ) }

Examine the given set of ( x , y ) data points and using linear regression techniques to determine the value of the y - intercept of the line of best fit.

given data:

{ ( ?1 , ?1 ) , ( 4 , ?11 ) , ( 8 , ?19 ) }

Examine the given set of x, y data points and using linear regression techniques to determine the value of the slope of the line of best fit. given data: (2 11), 5, 23) (9, 39 2, O 3.2

Explanation / Answer

Please follow the data and description :

For the given points, the regression formula is given as :

Regression Equation(y) = a + bx
Slope(b) = (NXY - (X)(Y)) / (NX2 - (X)2)
Intercept(a) = (Y - b(X)) / N

Where,

   x and y are the variables.
   b = The slope of the regression line
   a = The intercept point of the regression line and the y axis.      
   N = Number of values or elements
   X = First Score
   Y = Second Score
   XY = Sum of the product of first and Second Scores
   X = Sum of First Scores
   Y = Sum of Second Scores
   X2 = Sum of square First Scores

a)
  
So for the given points { ( 2 , 11 ) , ( 5 , 23 ) , ( 9 , 39 ) } the slope is calculated as : 4.

So the answer is OPTION B (4).

b)

So for the given points { ( 2 , 1 ) , ( 5 , 5 ) , ( 9 , 13 ) } the y-intercept is calculated as : 5.

So the answer is OPTION D (5).

c)

So for the given points { ( 1 , 1 ) , ( 4 , 11 ) , ( 8 , 19 ) } the y-intercept is calculated as : -3.

So the answer is OPTION A (-3).

Hope this is helpful.

Related Questions

Navigate

• Browse (All)
• Browse Q
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.