d. Develop the estimated regression equation by computing the values of bo and by using Equation 14.6 and Equation 14.7 (to 1 decimal). ŷ= 0.3 +2.5 x e. Use the estimated regression equation to predict the value of y when = 4 (to 1 decimal). 12.8

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Given are five observations for two variables, and y.
a. Which of the following scatter diagrams accurately represents the data?
1.
2.
0,5
-0,5
3.
-0,5
+16
+12
+8
+16
-12
+8
-4
-16
+12
+8
0,5
3,5 4 4,5 5 5,5 X
0,5 1 1,5 2 2.5 3 3,5 4 4,5 5 5,5 x
0,5 1 1,5 2 2.5 3 3,5 4 4,5 5 5,5 X
Scatter diagram #2
Xi
1 2
Yi 4
4
3 4
8 9
5
14
Transcribed Image Text:Given are five observations for two variables, and y. a. Which of the following scatter diagrams accurately represents the data? 1. 2. 0,5 -0,5 3. -0,5 +16 +12 +8 +16 -12 +8 -4 -16 +12 +8 0,5 3,5 4 4,5 5 5,5 X 0,5 1 1,5 2 2.5 3 3,5 4 4,5 5 5,5 x 0,5 1 1,5 2 2.5 3 3,5 4 4,5 5 5,5 X Scatter diagram #2 Xi 1 2 Yi 4 4 3 4 8 9 5 14
b. What does the scatter diagram indicate about the relationship between the two variables?
There appears to be a positive
linear relationship between x and y.
c. Try to approximate the relationship between x and y by drawing a straight line through the data. Which of the following scatter diagrams with a trend line accurately represents the data?
1.
-0,5
2.
3.
0,5
-0,5
-16
+12
+8
=
-4
+16
+12
+8
-4
+16
-12
0,5 1 1,5 2 2.5 3 3,5 4 4,5 5 5,5 X
0,5 1 1,5 2 2,5 3 3,5 4 4,5 5 5,5 *
0,5 1 1,5 2 2.5 3 3.5 4 4.5 5 5.5 X
Scatter diagram #2 +
d. Develop the estimated regression equation by computing the values of bo and b₁ using Equation 14.6 and Equation 14.7 (to 1 decimal).
ŷ
= 0.3
+ 2.5
X
e. Use the estimated regression equation to predict the value of y when x = 4 (to 1 decimal).
12.8 X
Transcribed Image Text:b. What does the scatter diagram indicate about the relationship between the two variables? There appears to be a positive linear relationship between x and y. c. Try to approximate the relationship between x and y by drawing a straight line through the data. Which of the following scatter diagrams with a trend line accurately represents the data? 1. -0,5 2. 3. 0,5 -0,5 -16 +12 +8 = -4 +16 +12 +8 -4 +16 -12 0,5 1 1,5 2 2.5 3 3,5 4 4,5 5 5,5 X 0,5 1 1,5 2 2,5 3 3,5 4 4,5 5 5,5 * 0,5 1 1,5 2 2.5 3 3.5 4 4.5 5 5.5 X Scatter diagram #2 + d. Develop the estimated regression equation by computing the values of bo and b₁ using Equation 14.6 and Equation 14.7 (to 1 decimal). ŷ = 0.3 + 2.5 X e. Use the estimated regression equation to predict the value of y when x = 4 (to 1 decimal). 12.8 X
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