Question
The scatterplot above shows the densities of 7 planetoids, in grams per cubic centimetre, with respect to their average distances from the Sun in astronomical units (AU). The line of best fit is also shown
According to the scatterplot, which of the following statements is true about the relationship between a planetoid’s average distance from the Sun and its density?
- Planetoids that are more distant from the Sun tend to have lesser densities.
- Planetoids that are more distant from the Sun tend to have greater densities.
- The density of a planetoid that is twice as far from the Sun as another planetoid is half the density of that other planetoid.
- The distance from a planetoid to the Sun is unrelated to its density.
The correct answer is: Planetoids that are more distant from the Sun tend to have lesser densities.
HINT – See the line of best fit. Observe its slope.
SOLUTION - The line of best fit is given. We can observe that the line on the line graph moves from left to right, the line falls. This implies that the slope of the line is negative.
As the distance of the planetoids from the sun increases, their densities decreases.
Planetoids that are more distant from the sun tend to have lesser
densities.
Hence, option A is correct
Related Questions to study
The scatterplot above shows 8 data points in the xy plane. A line of best fit is also shown for the data. If each data point is shifted 3 units upward and a new line of best fit for the shifted points is drawn, how will the value of the y-intercept of the new line compare with that of the line shown?
The scatterplot above shows 8 data points in the xy plane. A line of best fit is also shown for the data. If each data point is shifted 3 units upward and a new line of best fit for the shifted points is drawn, how will the value of the y-intercept of the new line compare with that of the line shown?
If 
x - 
x = 1, what is the value of x?
If x - x = 1, what is the value of x?
The scatterplot above represents the head lengths, in centimeters (cm), and body lengths, in cm, of 14 adult crocodiles. The line of best fit for the data is also shown. The box plot above summarizes the body lengths of the 14 crocodiles.
For an adult crocodile with a head length of , which of the following is closest to the body length, in , predicted by the line of best fit?
The scatterplot above represents the head lengths, in centimeters (cm), and body lengths, in cm, of 14 adult crocodiles. The line of best fit for the data is also shown. The box plot above summarizes the body lengths of the 14 crocodiles.
For an adult crocodile with a head length of , which of the following is closest to the body length, in , predicted by the line of best fit?
In the figure, 3 lines intersect at point P. If x = 65 and y = 75, what is the value of z?
In the figure, 3 lines intersect at point P. If x = 65 and y = 75, what is the value of z?
Makayla is planning an event in a 5,400 square foot room. If there should be at least 8 square feet per person, what is the maximum number of people that could attend this event?
Makayla is planning an event in a 5,400 square foot room. If there should be at least 8 square feet per person, what is the maximum number of people that could attend this event?
In the equation (ax + 3)2 = 36, a is a constant. If x = −3 is one solution to the equation, what is a possible value of a ?
In the equation (ax + 3)2 = 36, a is a constant. If x = −3 is one solution to the equation, what is a possible value of a ?
h (x) = x3 + ax2 + bx + c
The function h is defined above, where a, b, c are integer constants. If the zeros of the function are -5, 6 and 7, what is the value of c?
h (x) = x3 + ax2 + bx + c
The function h is defined above, where a, b, c are integer constants. If the zeros of the function are -5, 6 and 7, what is the value of c?
Which of the following ordered pairs (x, y) satisfies the inequality 5x – 3y < 4?
I. (1, 1)
II. (2, 5)
III. (3, 2)
Which of the following ordered pairs (x, y) satisfies the inequality 5x – 3y < 4?
I. (1, 1)
II. (2, 5)
III. (3, 2)
2x + 3y = 31
3x - y = 30
If (x,y) is the solution to the system of equations above, what is the value of 100x + 40y ?
2x + 3y = 31
3x - y = 30
If (x,y) is the solution to the system of equations above, what is the value of 100x + 40y ?
If y = x2 + ax + a , where a is a constant, and y = 11 when x = 1 , what is the value of a ?
If y = x2 + ax + a , where a is a constant, and y = 11 when x = 1 , what is the value of a ?
A market researcher selected 200 people at random from a group of people who indicated that they liked a certain book. The 200 people were shown a movie based on the book and then asked whether they liked or disliked the movie. Of those surveyed, 95% said they disliked the movie. Which of the following inferences can appropriately be drawn from this survey result?
That is to say, if we sampled this pool, we could not extrapolate that to the entire pool. For example, if you randomly selected twenty students from your class and discovered that 8% of them enjoy chocolate ice cream, this does not imply that 80% of the world enjoys chocolate ice cream. Okay, so then, we know that at least 95 percent of the people who go to the movies will dislike this movie. That's not certain because that's an extrapolation. After all, once again, we only asked two hundred people, so we can ask if everyone who reads the book will dislike the movie.
It is stated that most people who disliked the book will enjoy this movie. That is incorrect because it states that 95% of people opposed the film. That's not correct. Most people who liked the book will dislike the movie. So, that should be D.
A market researcher selected 200 people at random from a group of people who indicated that they liked a certain book. The 200 people were shown a movie based on the book and then asked whether they liked or disliked the movie. Of those surveyed, 95% said they disliked the movie. Which of the following inferences can appropriately be drawn from this survey result?
That is to say, if we sampled this pool, we could not extrapolate that to the entire pool. For example, if you randomly selected twenty students from your class and discovered that 8% of them enjoy chocolate ice cream, this does not imply that 80% of the world enjoys chocolate ice cream. Okay, so then, we know that at least 95 percent of the people who go to the movies will dislike this movie. That's not certain because that's an extrapolation. After all, once again, we only asked two hundred people, so we can ask if everyone who reads the book will dislike the movie.
It is stated that most people who disliked the book will enjoy this movie. That is incorrect because it states that 95% of people opposed the film. That's not correct. Most people who liked the book will dislike the movie. So, that should be D.
for all positive values of x, what is the value of 
?
