Scatter Plot

Q. The following scatter graph represents the heights and their respective weights of a group of students.


Determine the weight of a student whose height is 170 cm?
kg

Q. The equation $60y=390x$ represents the relationship between $x$, the time that Plane A flies in minutes, and $y$, the distance the plane flies in miles for Plane A. The graph represents the relationship for Plane B.


What is the difference in their average speed?
[Hint: Average speed = Slope of the distance-time graph $=\frac{\text{Distance traveled}}{\text{Time taken}}]$

Q. In scatter plots, the data points are not connected with straight lines but with curved lines.

1. True
2. False

Q. Scatter plots are generally used to observe the relationship between _____ numeric variable(s).

1. one
2. two
3. three
4. more than two

Q. The following table shows the scores of 5 students on their Science and Social Studies tests out of 100.

Draw a scatter plot from the above data.

1. 
2. 
3. 
4. 

Q.

Consider the following statements, and choose the correct option.

Statement I: In general, the two axes of a scatter plot represent two variables.

Statement II: The dependent variable depends on an another variable, whereas the independent variable is an independent quantity.

Statement III: The scatter plot shows the relationship between the dependent variable and the independent variable.

1. Only statement I is correct.
2. Only statement I and II are correct.
3. All the statements are correct.
4. None of the statements are correct.

Q.

A scatter plot is a graph where each value in the data set is represented by a ____

1. line
2. dot
3. pie chart
4. none of the above

Q. A car started at 9:00 a.m. from city A and stopped in city C at 10:00 a.m.. The diagram below shows the distance the car had traveled at different times.


Which of the following graph represents the proportional relationship between the distance the car has traveled and time taken by it? What will be the average speed of the car?
[Hint: Average speed of the car = Slope of the distance-time graph]

Q. Electricity consumed by different households on a particular day are tabulated below.
Number of Persons in House Consumption of Electricity (units)

$4$	$8$
$6$	$13$
$8$	$15$
$10$	$18$

Choose the correct scatter plot from the following which correctly represents the given data set.

1. 
2. 

Q. In an experiment, water in a flask is heated. The temperature of water is recorded over time at intervals of $30$ seconds as tabulated below.
Time (minutes) Temperaure (${}^{o}C$)

$0$	$25$
$0.5$	$45$
$1$	$70$
$1.5$	$90$
$2$	$100$

Plot a scatter plot and choose the correct option for the equation of line of best fit.

1. $y-45=0.5(x-0.5)$
2. $y-0.5=45(x-0.5)$
3. $y-0.5=45(x-45)$
4. $y-45=45(x-0.5)$

Q. In a science experiment, the weights of different body masses were measured at a specific height from the sea level as tabulated below.
Mass (kg) Weight $\left({\text{kg}\times \text{m/second}}^2\text{or Newton (N)}\right)$

$2$	$19.6$
$4$	$40$
$6$	$58.8$
$8$	$76$

Choose the correct equation for the line of best fit.

1. $y-40=10(x-4)$
2. $y-19.6=9.8(x-2)$
3. $y-2=9.8(x-19.6)$

Q. To visually approximate the line of best fit, we follow the steps:

a) Draw the most convincing line that equally divides all the points.

b) Spot two centrally looking points and imagine drawing line that passes through the points.

c) Find the equation of the line in point-slope form, i.e., $y-y_1=m(x-x_1)$, where $m=\frac{y_2-y_1}{x_2-x_1}$

d) Search for the line that have equal number of points above and below that line.

Arrange the above steps in correct order, and choose the correct option.

1. $a\to b\to c\to d$
2. $b\to c\to d\to a$
3. $b\to d\to a\to c$
4. None of the above.

Q. <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Speeds versus times taken by a car to travel a certain distance are tabulated below.
Speed (mph) Time (minutes)

$30$	$120$
$40$	$95$
$50$	$85$
$60$	$60$

Choose the correct option for the line of best fit.

1. $y+2x=120$
2. $y-60=2(x-60)$
3. $y+2x=180$
4. $y-60=2(x+60)$