4.5 - scatter plots & lines of fit. ex.1 the table below shows the median selling price of new,...
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![Page 1: 4.5 - Scatter Plots & Lines of Fit. Ex.1 The table below shows the median selling price of new, privately-owned, one-family houses for some recent years](https://reader035.vdocuments.net/reader035/viewer/2022070401/56649f215503460f94c39c90/html5/thumbnails/1.jpg)
4.5 - Scatter Plots & Lines of Fit
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Ex.1 The table below shows the median selling price of new, privately-owned, one-family houses for some recent years.
![Page 3: 4.5 - Scatter Plots & Lines of Fit. Ex.1 The table below shows the median selling price of new, privately-owned, one-family houses for some recent years](https://reader035.vdocuments.net/reader035/viewer/2022070401/56649f215503460f94c39c90/html5/thumbnails/3.jpg)
Ex.1 The table below shows the median selling price of new, privately-owned, one-family houses for some recent years.
Year 1990 1992 1994 1996 1998 2000
Price ($1000)
122.9 121.5 130 140 152.5 169
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Ex.1 The table below shows the median selling price of new, privately-owned, one-family houses for some recent years.
a. Make a scatter plot of the data.
Year 1990 1992 1994 1996 1998 2000
Price ($1000)
122.9 121.5 130 140 152.5 169
![Page 5: 4.5 - Scatter Plots & Lines of Fit. Ex.1 The table below shows the median selling price of new, privately-owned, one-family houses for some recent years](https://reader035.vdocuments.net/reader035/viewer/2022070401/56649f215503460f94c39c90/html5/thumbnails/5.jpg)
![Page 6: 4.5 - Scatter Plots & Lines of Fit. Ex.1 The table below shows the median selling price of new, privately-owned, one-family houses for some recent years](https://reader035.vdocuments.net/reader035/viewer/2022070401/56649f215503460f94c39c90/html5/thumbnails/6.jpg)
Years Since 1990
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Price
Years Since 1990
![Page 8: 4.5 - Scatter Plots & Lines of Fit. Ex.1 The table below shows the median selling price of new, privately-owned, one-family houses for some recent years](https://reader035.vdocuments.net/reader035/viewer/2022070401/56649f215503460f94c39c90/html5/thumbnails/8.jpg)
Price
($1000)
Years Since 1990
![Page 9: 4.5 - Scatter Plots & Lines of Fit. Ex.1 The table below shows the median selling price of new, privately-owned, one-family houses for some recent years](https://reader035.vdocuments.net/reader035/viewer/2022070401/56649f215503460f94c39c90/html5/thumbnails/9.jpg)
Median House Prices
Price
($1000)
Years Since 1990
![Page 10: 4.5 - Scatter Plots & Lines of Fit. Ex.1 The table below shows the median selling price of new, privately-owned, one-family houses for some recent years](https://reader035.vdocuments.net/reader035/viewer/2022070401/56649f215503460f94c39c90/html5/thumbnails/10.jpg)
Median House Prices
Price
($1000)
0
Years Since 1990
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Median House Prices
Price
($1000)
0 2 4 6 8 10
Years Since 1990
![Page 12: 4.5 - Scatter Plots & Lines of Fit. Ex.1 The table below shows the median selling price of new, privately-owned, one-family houses for some recent years](https://reader035.vdocuments.net/reader035/viewer/2022070401/56649f215503460f94c39c90/html5/thumbnails/12.jpg)
Median House Prices
Price
($1000)
0 2 4 6 8 10
Years Since 1990
![Page 13: 4.5 - Scatter Plots & Lines of Fit. Ex.1 The table below shows the median selling price of new, privately-owned, one-family houses for some recent years](https://reader035.vdocuments.net/reader035/viewer/2022070401/56649f215503460f94c39c90/html5/thumbnails/13.jpg)
Median House Prices
Price
($1000)
1200 2 4 6 8
10
Years Since 1990
![Page 14: 4.5 - Scatter Plots & Lines of Fit. Ex.1 The table below shows the median selling price of new, privately-owned, one-family houses for some recent years](https://reader035.vdocuments.net/reader035/viewer/2022070401/56649f215503460f94c39c90/html5/thumbnails/14.jpg)
Median House Prices
Price
($1000)
140
1200 2 4 6 8
10
Years Since 1990
![Page 15: 4.5 - Scatter Plots & Lines of Fit. Ex.1 The table below shows the median selling price of new, privately-owned, one-family houses for some recent years](https://reader035.vdocuments.net/reader035/viewer/2022070401/56649f215503460f94c39c90/html5/thumbnails/15.jpg)
Median House Prices
Price
($1000)
140
1200 2 4 6 8
10
Years Since 1990
![Page 16: 4.5 - Scatter Plots & Lines of Fit. Ex.1 The table below shows the median selling price of new, privately-owned, one-family houses for some recent years](https://reader035.vdocuments.net/reader035/viewer/2022070401/56649f215503460f94c39c90/html5/thumbnails/16.jpg)
Median House Prices
Price
($1000)
140
1200 2 4 6 8
10
Years Since 1990
![Page 17: 4.5 - Scatter Plots & Lines of Fit. Ex.1 The table below shows the median selling price of new, privately-owned, one-family houses for some recent years](https://reader035.vdocuments.net/reader035/viewer/2022070401/56649f215503460f94c39c90/html5/thumbnails/17.jpg)
Median House Prices
Price
($1000)
140
1200 2 4 6 8
10
Years Since 1990
![Page 18: 4.5 - Scatter Plots & Lines of Fit. Ex.1 The table below shows the median selling price of new, privately-owned, one-family houses for some recent years](https://reader035.vdocuments.net/reader035/viewer/2022070401/56649f215503460f94c39c90/html5/thumbnails/18.jpg)
Median House Prices
Price
($1000)
140
1200 2 4 6 8
10
Years Since 1990
![Page 19: 4.5 - Scatter Plots & Lines of Fit. Ex.1 The table below shows the median selling price of new, privately-owned, one-family houses for some recent years](https://reader035.vdocuments.net/reader035/viewer/2022070401/56649f215503460f94c39c90/html5/thumbnails/19.jpg)
Median House Prices
Price
($1000)
140
1200 2 4 6 8
10
Years Since 1990
![Page 20: 4.5 - Scatter Plots & Lines of Fit. Ex.1 The table below shows the median selling price of new, privately-owned, one-family houses for some recent years](https://reader035.vdocuments.net/reader035/viewer/2022070401/56649f215503460f94c39c90/html5/thumbnails/20.jpg)
Median House Prices
Price
($1000)
140
1200 2 4 6 8
10
Years Since 1990
![Page 21: 4.5 - Scatter Plots & Lines of Fit. Ex.1 The table below shows the median selling price of new, privately-owned, one-family houses for some recent years](https://reader035.vdocuments.net/reader035/viewer/2022070401/56649f215503460f94c39c90/html5/thumbnails/21.jpg)
Median House Prices
Price
($1000)
140
1200 2 4 6 8
10
Years Since 1990
b. Make a line of fit.
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Median House Prices
Price
($1000)
140
1200 2 4 6 8
10
Years Since 1990
b. Make a line of fit.
![Page 23: 4.5 - Scatter Plots & Lines of Fit. Ex.1 The table below shows the median selling price of new, privately-owned, one-family houses for some recent years](https://reader035.vdocuments.net/reader035/viewer/2022070401/56649f215503460f94c39c90/html5/thumbnails/23.jpg)
Median House Prices
Price
($1000)
140
1200 2 4 6 8
10
Years Since 1990
b. Make a line of fit.
![Page 24: 4.5 - Scatter Plots & Lines of Fit. Ex.1 The table below shows the median selling price of new, privately-owned, one-family houses for some recent years](https://reader035.vdocuments.net/reader035/viewer/2022070401/56649f215503460f94c39c90/html5/thumbnails/24.jpg)
c. Find a prediction equation for line of fit.
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c. Find a prediction equation for line of fit.
*Use the best two ordered pairs from b. to find the slope for the line!
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c. Find a prediction equation for line of fit.
*Use the best two ordered pairs from b. to find the slope for the line!
(4, 130) and (8, 152.5)
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c. Find a prediction equation for line of fit.
*Use the best two ordered pairs from b. to find the slope for the line!
(4, 130) and (8, 152.5)
m = y2 – y1
x2 - x1
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c. Find a prediction equation for line of fit.
*Use the best two ordered pairs from b. to find the slope for the line!
(4, 130) and (8, 152.5)
m = y2 – y1 = 152.2 – 130
x2 - x1 8 – 4
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c. Find a prediction equation for line of fit.
*Use the best two ordered pairs from b. to find the slope for the line!
(4, 130) and (8, 152.5)
m = y2 – y1 = 152.2 – 130 = 22.5
x2 - x1 8 – 4 4
![Page 30: 4.5 - Scatter Plots & Lines of Fit. Ex.1 The table below shows the median selling price of new, privately-owned, one-family houses for some recent years](https://reader035.vdocuments.net/reader035/viewer/2022070401/56649f215503460f94c39c90/html5/thumbnails/30.jpg)
c. Find a prediction equation for line of fit.
*Use the best two ordered pairs from b. to find the slope for the line!
(4, 130) and (8, 152.5)
m = y2 – y1 = 152.2 – 130 = 22.5 ≈ 5.63
x2 - x1 8 – 4 4
![Page 31: 4.5 - Scatter Plots & Lines of Fit. Ex.1 The table below shows the median selling price of new, privately-owned, one-family houses for some recent years](https://reader035.vdocuments.net/reader035/viewer/2022070401/56649f215503460f94c39c90/html5/thumbnails/31.jpg)
c. Find a prediction equation for line of fit.
*Use the best two ordered pairs from b. to find the slope for the line!
(4, 130) and (8, 152.5)
m = y2 – y1 = 152.2 – 130 = 22.5 ≈ 5.63
x2 - x1 8 – 4 4
*So use x1 = 4
![Page 32: 4.5 - Scatter Plots & Lines of Fit. Ex.1 The table below shows the median selling price of new, privately-owned, one-family houses for some recent years](https://reader035.vdocuments.net/reader035/viewer/2022070401/56649f215503460f94c39c90/html5/thumbnails/32.jpg)
c. Find a prediction equation for line of fit.
*Use the best two ordered pairs from b. to find the slope for the line!
(4, 130) and (8, 152.5)
m = y2 – y1 = 152.2 – 130 = 22.5 ≈ 5.63
x2 - x1 8 – 4 4
*So use x1 = 4, y1 = 130
![Page 33: 4.5 - Scatter Plots & Lines of Fit. Ex.1 The table below shows the median selling price of new, privately-owned, one-family houses for some recent years](https://reader035.vdocuments.net/reader035/viewer/2022070401/56649f215503460f94c39c90/html5/thumbnails/33.jpg)
c. Find a prediction equation for line of fit.
*Use the best two ordered pairs from b. to find the slope for the line!
(4, 130) and (8, 152.5)
m = y2 – y1 = 152.2 – 130 = 22.5 ≈ 5.63
x2 - x1 8 – 4 4
*So use x1 = 4, y1 = 130, and m ≈ 5.63
![Page 34: 4.5 - Scatter Plots & Lines of Fit. Ex.1 The table below shows the median selling price of new, privately-owned, one-family houses for some recent years](https://reader035.vdocuments.net/reader035/viewer/2022070401/56649f215503460f94c39c90/html5/thumbnails/34.jpg)
c. Find a prediction equation for line of fit.
*Use the best two ordered pairs from b. to find the slope for the line!
(4, 130) and (8, 152.5)
m = y2 – y1 = 152.2 – 130 = 22.5 ≈ 5.63
x2 - x1 8 – 4 4
*So use x1 = 4, y1 = 130, and m ≈ 5.63
y – y1 = m(x – x1)
![Page 35: 4.5 - Scatter Plots & Lines of Fit. Ex.1 The table below shows the median selling price of new, privately-owned, one-family houses for some recent years](https://reader035.vdocuments.net/reader035/viewer/2022070401/56649f215503460f94c39c90/html5/thumbnails/35.jpg)
c. Find a prediction equation for line of fit.
*Use the best two ordered pairs from b. to find the slope for the line!
(4, 130) and (8, 152.5)
m = y2 – y1 = 152.2 – 130 = 22.5 ≈ 5.63
x2 - x1 8 – 4 4
*So use x1 = 4, y1 = 130, and m ≈ 5.63
y – y1 = m(x – x1)
![Page 36: 4.5 - Scatter Plots & Lines of Fit. Ex.1 The table below shows the median selling price of new, privately-owned, one-family houses for some recent years](https://reader035.vdocuments.net/reader035/viewer/2022070401/56649f215503460f94c39c90/html5/thumbnails/36.jpg)
c. Find a prediction equation for line of fit.*Use the best two ordered pairs from b. to find the slope for the line!
(4, 130) and (8, 152.5)m = y2 – y1 = 152.2 – 130 = 22.5 ≈ 5.63
x2 - x1 8 – 4 4*So use x1 = 4, y1 = 130, and m ≈ 5.63
y – y1 = m(x – x1)y – 130 = 5.63(x – 4)y – 130 = 5.63(x) – 5.63(4) y – 130 = 5.63x – 22.52 y = 5.63x + 107.48
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d. Predict the price in 2010.
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d. Predict the price in 2010.
2010 means when x=20 (yrs after 1990)
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d. Predict the price in 2010.
2010 means when x=20 (yrs after 1990)
*Plug 20 in for x!
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d. Predict the price in 2010.
2010 means when x=20 (yrs after 1990)
*Plug 20 in for x!
y = 5.63x + 107.48
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d. Predict the price in 2010.
2010 means when x=20 (yrs after 1990)
*Plug 20 in for x!
y = 5.63x + 107.48
y = 5.63(20) + 107.48
![Page 42: 4.5 - Scatter Plots & Lines of Fit. Ex.1 The table below shows the median selling price of new, privately-owned, one-family houses for some recent years](https://reader035.vdocuments.net/reader035/viewer/2022070401/56649f215503460f94c39c90/html5/thumbnails/42.jpg)
d. Predict the price in 2010.
2010 means when x=20 (yrs after 1990)
*Plug 20 in for x!
y = 5.63x + 107.48
y = 5.63(20) + 107.48
y = 220.08
![Page 43: 4.5 - Scatter Plots & Lines of Fit. Ex.1 The table below shows the median selling price of new, privately-owned, one-family houses for some recent years](https://reader035.vdocuments.net/reader035/viewer/2022070401/56649f215503460f94c39c90/html5/thumbnails/43.jpg)
d. Predict the price in 2010.
2010 means when x=20 (yrs after 1990)
*Plug 20 in for x!
y = 5.63x + 107.48
y = 5.63(20) + 107.48
y = 220.08
So, in 2010 the price will be $220,080.