13 A) A hypothetical govemment study involving Average Monthly Temperature and H

Question

13 A) A hypothetical govemment study involving Average Monthly Temperature and Heating Costs has indicated two different linear relationships First Linear Relationship:-141-1.4x Second Linear Relationship: 139-1.3:x Where: x= Average Outdoor Temperature t Monthly Heating Bill A) Using the First Linear Relationship equation and the chart below, determine the f the squared residuals for the First Linear Relationsh Temp 45 32 25 30 35 95 110 90 85 B) Using the Second Linear Relationship equation and the chart below, determine the of t the squared residuals for the Second Temp 80 95 110 25 90 85

Explanation / Answer

13.(a) RSS = 151.44

(b)RSS = 190.51

(c) As residual sum of squares define the fit of the model, the lower it is the better the fit is!

So here model 1 has the lower RSS , then model 1 is a better fit.

13(B)

(a)Using MINITAB

The regression equation is
heat = 137 - 1.35 tem

Predictor Coef SE Coef T P
Constant 137.15 14.83 9.25 0.003
tem -1.3517 0.4355 -3.10 0.053

S = 6.47653 R-Sq = 76.3% R-Sq(adj) = 68.3%

so least square regression line is = Y_hat = 137.15 -1.35*x

(b)Slope can be said to be consistent change between X and Y. or it can be said the starting point of the equation!

13.(C)

(a)using MINITAB the correlation coefficient is

Pearson correlation of X and Y = -0.873

(b) As the corr coeff is >.5 and almost >.8, so we can say there is strong relationship between them and the negative sign implies that the relationship is negative. And that should be the case. so applying the linear regression method is quite obvious here!

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

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