Question

Interpretation You can be 95% confident that when the product is $3.5 trillion, the carbon dioxide emissions will be between 43 and 1138.245 million metric tons. ome 9 Try It Yourself 3 Construct a 95% prediction interval for the carbon dioxide emissions when gross domestic product is $4 trillion. What can you conclude? a. Specify n, d.f., te, e. b. Calculate y whenx 4 c. Calculate the margin of error E. d. Construct the prediction interval. e. Interpret the results. Answer: Page SECTION 9.2 LINEAR REGRESSION 503 Try It Yourself 1 Find the equation of the regression line for the number of years out of school and annual contribution data used in Section 9.1 a. Identify n, Σ., Σ y, Σ xy, and Σχ2 from Try It Yourself 4 in Section 9.1. b. Calculate the slope m and the y-intercept b. c. Write the equation of the regression line. Answer: Page A45 SC Report 40 1.5 573.5 Number of years out of school, x Annual contribution (1000s of $), y 12.5 8.7 14.6 5.2 9.9 3.1 2.7 10 15 24 30 SECTION 9.2 LINEAR REGRESSION 503 Try It Yourself 1 Find the equation of the regression line for the number of years out of school and annual contribution data used in Section 9.1. a. Identify n, 2x, Ey, 2xy, and 2x2 from Try It Yourself 4 in Section 9.1. b. Calculate the slope m and the y-intercept b. c. Write the equation of the regression line. Answer: Page A45

Answer 1

Try it your self 1:

x	y	xy	x^2	y^2
1	12.5	12.5	1	156.25
10	8.7	87	100	75.69
5	14.6	73	25	213.16
15	5.2	78	225	27.04
3	9.9	29.7	9	98.01
24	3.1	74.4	576	9.61
30	2.7	81	900	7.29
ΣX = 88	ΣY = 56.7	ΣXY = 435.6	ΣX^2 = 1836	ΣY^2 = 587.05

and n = 7

14.7 12.7 10.7 8.7 6.7 4.7 2.7 ר 32 16 24 X-Independent Regression Line (-0.38X 12.88)

(X- Mx)2 (X- MxY-My) Y- M 133.898 6.6122 57.3265 5.898 91.6122 130.6122 303.7551 -50.9143 -1.5429 -49.2143 -7.0429 17.2286 -57.1429 -94.1143 11.5714 -2.5714 -7.5714 2.4286 -9.5714 11.4286 17.4286 6.5 SS: 729.7143 SP: -277.2

Sum of X-88 sum of Y= 56.7 Mean X- 12.5714 Mean Y 8.1 Sum of squares (SS) 729.7143 sum of products (SP) =-277.2 Regression Equation -y- bX+ a b = SPISSx=ー27721729.71 =-0.37987 (SLOPE) a-My-bMx = 8.1 -(-0.38* 12.57) = 1 2.87557 (Y INTERCEPT) у--0.37987X+ 12.87557

Regression line :

ŷ = -0.3799 X + 12.8756