ion of he of best fit is Average monthly Monthly temperature, x heating cost, y (in dollars) (in °F) 25.4 51.00 g cost 100- 90- 80- 70- y

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Question
The table and scatter plot show the average monthly temperature, x, and a family's monthly heating cost, y, for 10 different months.
The equation of the line of best fit is y=-0.9x+80.81.
Average
monthly
temperature, x
(in °F)
25.4
36.9
37.2
40.0
45.1
48.1
48.2
51.5
55.6
59.4
Monthly
heating cost, y
(in dollars)
Average monthly
temperature
(in °F)
51.00
40.83
67.00
29.72
51.46
51.45
30.13
16.20
22.58
30.50
Monthly heating cost
(in dollars)
Observed monthly
heating cost
(in dollars)
100-
90+
80-
70+
60+
50
40
30-
y
20+
10+
0
10
20
X
30
Predicted monthly
heating cost
(in dollars)
X
X
X
40
X X
X
X
50
Use the equation of the line of best fit, and use the table above, to fill in the blanks below.
Give exact answers, not rounded approximations.
X
Residual
(in dollars)
60
Average monthly temperature
(in °F)
70
80
90
X
Transcribed Image Text:The table and scatter plot show the average monthly temperature, x, and a family's monthly heating cost, y, for 10 different months. The equation of the line of best fit is y=-0.9x+80.81. Average monthly temperature, x (in °F) 25.4 36.9 37.2 40.0 45.1 48.1 48.2 51.5 55.6 59.4 Monthly heating cost, y (in dollars) Average monthly temperature (in °F) 51.00 40.83 67.00 29.72 51.46 51.45 30.13 16.20 22.58 30.50 Monthly heating cost (in dollars) Observed monthly heating cost (in dollars) 100- 90+ 80- 70+ 60+ 50 40 30- y 20+ 10+ 0 10 20 X 30 Predicted monthly heating cost (in dollars) X X X 40 X X X X 50 Use the equation of the line of best fit, and use the table above, to fill in the blanks below. Give exact answers, not rounded approximations. X Residual (in dollars) 60 Average monthly temperature (in °F) 70 80 90 X
30.9
37.2
40.0
45.1
48.1
48.2
51.5
55.6
59.4
Average monthly
temperature
(in °F)
25.4
40.85
67.00
29.72
51.46
51.45
30.13
16.20
22.58
30.50
37.2
Observed monthly
heating cost
(in dollars)
Monthly heati
(in dollar
0
0
50.
40.
30.
20.
10.
0
10
20
0
X
Predicted monthly
heating cost
(in dollars)
30
X
X
X
40
x x
Use the equation of the line of best fit, and use the table above, to fill in the blanks below.
Give exact answers, not rounded approximations.
X
X
50
Ś
Residual
(in dollars)
0
X
Average monthly temperature
(in °F)
X
60
70
80
90
x
Transcribed Image Text:30.9 37.2 40.0 45.1 48.1 48.2 51.5 55.6 59.4 Average monthly temperature (in °F) 25.4 40.85 67.00 29.72 51.46 51.45 30.13 16.20 22.58 30.50 37.2 Observed monthly heating cost (in dollars) Monthly heati (in dollar 0 0 50. 40. 30. 20. 10. 0 10 20 0 X Predicted monthly heating cost (in dollars) 30 X X X 40 x x Use the equation of the line of best fit, and use the table above, to fill in the blanks below. Give exact answers, not rounded approximations. X X 50 Ś Residual (in dollars) 0 X Average monthly temperature (in °F) X 60 70 80 90 x
Expert Solution
Step 1: Given

The estimated regression equation of the straight line y^ =80.81-0.9*x

Here,y(monthly heating cost) = dependent variable

        x(average monthly temperature) = Independent variable


steps

Step by step

Solved in 3 steps with 2 images

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Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

Your answer is incorrect.

  • Observed monthly heating cost: Your answer is incorrect.
  • Predicted monthly heating cost: Your answer is incorrect.
  • Residual: Your answer is incorrect.
Solution
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