This Question 18 pts This Testi 250 pt Find the equation of the line for the giv

Question

This Question 18 pts This Testi 250 pt Find the equation of the line for the given data. Then construct a scatter plot of the data and draw the regression line. (Each pair of variables has a significant correlation.) Then use the regression equation to prodict the value of y for cach of the given x-values, if meaningful. The caloric content and the sodium content (in milligrams) for 6 beef hot dogs shown in the table below 190 (a)x-160 calories (b) x 100 calories (d) x -200 calories 180 120 12070 330 380 (c) x-130 calories Find the regression equation. (Round to three decimal places as needed.) Choose the correct graph below OA. OB. Oc. OD. 200 (a) Predict the value of y for x-160. Choose the correct answer below

Explanation / Answer

Q1.

a.

Mean of X = X / n =    138.3333
Mean of Y = Y / n =   406.6667
(Xi - Mean)^2 =   9883.33
(Yi - Mean)^2 =   51733.33
(Xi-Mean)*(Yi-Mean) =   21966.67
b1 = (Xi-Mean)*(Yi-Mean) / (Xi - Mean)^2    
b1 = 21966.67 / 9883.33 = 2.223  
bo = Y / n - b1 * X / n  
bo = 406.6667 - 2.223*138.3333 = 99.207  
  
Y = bo + b1 X  
  
Y'=99.207+2.223*X  

b)

Option D

c)

when x = 160 => 99.207+2.223*(160) =454.887

d)

When x = 100 => 99.207+2.223*(100) =321.507

when x = 100=> 377.454-0.391* (100) =  338.354

Line of Regression Y on X i.e Y = bo + b1 X Xi Yi (Xi - Mean)^2 (Yi - Mean)^2 (Xi-Mean)*(Yi-Mean) 150 430 136.112 544.443 272.22 180 480 1736.114 5377.773 3055.56 120 330 336.11 5877.783 1405.55 120 380 336.11 711.113 488.89 70 270 4669.44 18677.787 9338.89 190 550 2669.448 20544.435 7405.56

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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