Question

7) The following data were used to make the claim that the rising use of cellphones is causing an increased number of traffic accidents in a city. Cellphones Year Sold (in 1000's) $x$ Traffic Accidents y $x^2$ $y^2$ 1998 78 3765 6084 14175225 1999 104 3802 10816 14455204 2000 157 4038 24649 16304444 2001 217 4104 47089 1683216 2002 476 4298 226576 18464404 $\sum x = 1032$ $\sum y = 20007$ $\sum x^2 = 315214$ $\sum y^2 = 77071527$ a) Is it reasonable to conclude that the rising use of cellphones is causing an increase in traffic accidents? Explain why or why not. [T/I-2] It is reasonable to conclude that the rising use of cellphones causes an increase in accidents based on the strong positive correlation. However, there are other variables that could increase traffic accidents such as, the weather. b) Determine the equation of the line of best fit $y = ax + b$ for this study using linear regression. Show all work and calculations. [A-6, C-1] c) Use your line of best fit to predict the number of accidents when 1 million cellphones are sold. Is this interpolation or extrapolation? Explain your answer. [T/I - 3]

          7) The following data were used to make the claim that the rising use of cellphones is causing
an increased number of traffic accidents in a city.
Cellphones
Year
Sold
(in 1000's) $x$
Traffic
Accidents
y
$x^2$
$y^2$
1998
78
3765
6084
14175225
1999
104
3802
10816
14455204
2000
157
4038
24649
16304444
2001
217
4104
47089
1683216
2002
476
4298
226576
18464404
$\sum x = 1032$
$\sum y = 20007$
$\sum x^2 = 315214$
$\sum y^2 = 77071527$
a) Is it reasonable to conclude that the rising use of cellphones is causing an increase in
traffic accidents? Explain why or why not. [T/I-2]
It is reasonable to conclude that the rising use of cellphones
causes an increase in accidents based on the strong positive
correlation. However, there are other variables that could increase
traffic accidents such as, the weather.
b) Determine the equation of the line of best fit $y = ax + b$ for this study using linear
regression. Show all work and calculations. [A-6, C-1]
c) Use your line of best fit to predict the number of accidents when 1 million cellphones are
sold. Is this interpolation or extrapolation? Explain your answer. [T/I - 3]

Show more…

7) The following data were used to make the claim that the rising use of cellphones is causing
an increased number of traffic accidents in a city.
Cellphones
Year
Sold
(in 1000's) x
Traffic
Accidents
y
x^2
y^2
1998
78
3765
6084
14175225
1999
104
3802
10816
14455204
2000
157
4038
24649
16304444
2001
217
4104
47089
1683216
2002
476
4298
226576
18464404
∑ x = 1032
∑ y = 20007
∑ x^2 = 315214
∑ y^2 = 77071527
a) Is it reasonable to conclude that the rising use of cellphones is causing an increase in
traffic accidents? Explain why or why not. [T/I-2]
It is reasonable to conclude that the rising use of cellphones
causes an increase in accidents based on the strong positive
correlation. However, there are other variables that could increase
traffic accidents such as, the weather.
b) Determine the equation of the line of best fit y = ax + b for this study using linear
regression. Show all work and calculations. [A-6, C-1]
c) Use your line of best fit to predict the number of accidents when 1 million cellphones are
sold. Is this interpolation or extrapolation? Explain your answer. [T/I - 3]

Added by Josep M.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Derek Follett

03/04/2024

Step 1

We will first plot the data points (Year Sold vs. Traffic Accidents) on a scatter plot to see if there is a correlation between the two variables. Show more…

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The following data were used to make the claim that the rising use of cellphones is causing an increased number of traffic accidents in a city. able[[Year, able[[Cellphones],[Sold],[(in 1000's) x an increased number of traffic accidents in a city. Cellphones Year Sold Traffic X y2 in 1000's Accidents 1998 3765 6034 141755 78 1999 104 3802 91801 4038 24649 2000 157 2001 4104 47089 217 2002 476 4298 236376 x1032 9=20c07315214 traffic accidents? Explain why or why not. [T/I 2] b Determine the equation of the line of best fit y = ax + b for this study using linear regression.Show all work and calculations.[A 6, C1] c Use your line of best fit to predict the number of accidents when 1 million cellphones are sold.Is this interpolation or extrapolation?Explain your answer.[T/I-3]

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Transcript

00:03 Okay, we need to find the equation of the regression line for this data here.

00:11 So if you're using a ti calculator like me, you can go to, i've got an 83, but this is the same for 84.

00:25 You would go to stat edit, and then you've got your list editor.

00:31 So you can enter the x values for l1.

00:41 So x values go to l1 and your y values you're going to put in l2.

00:55 And then you go back to the home screen and you press stat calc.

01:04 And then the calc menu, there's linear regression, it's number four.

01:10 So you're going to press enter and then you'll get the linreg ax plus b function and then you just need to type in your lists l1 and l2 so type in l1 comma l2 or you might have the stats wizard where you can just enter them in where it prompts you to and then i get my a and b value.

01:46 A is 0 .87 rounding to two decimal places and b is 4 .02 rounding to two decimal places.

01:55 So that means my equation is going to be y equals 0 .87x plus 4 .02.

02:09 So the graph i have over here on the right, the red line is that equation, and the black points are the points given in the xy table.

02:20 So you can see it does a really good job of matching that data.

02:30 Okay, so then once you have that, we can answer these questions.

02:34 A and b.

02:36 A says how many murders per 100 ,000 residents can be expected in a state of 4 .4 thousand automatic weapons...

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