The scatterplot shows a negative association.
x y
25 375
30 225
80 120
150 75
250 50
350 100
425 175
450 275
500 400
Use the table to create a scatterplot. Determine the type of association.
x 25 30 80 150 250 350 425 450 500
y 375 225 120 75 50 100 175 275 400
11 answers
responses:
negative linear association negative linear association non-linear association non-linear association linear association linear association no association
negative linear association negative linear association non-linear association non-linear association linear association linear association no association
The scatterplot shows a linear association.
explain ur answer
In a linear association, the relationship between the two variables can be best represented by a straight line. When we plot the given data points on a graph, we can approximate that a straight line can represent the trend of the points. The points are not forming a perfect line, but there is a general linear trend that shows as one variable increases, the other variable tends to decrease. This pattern indicates a linear association.
Write an equation in slope-intercept form of the trend line.
Locations of points are: 1, 25; 2, 35; 5, 55; 7, 60; 10, 70
Locations of points are: 1, 25; 2, 35; 5, 55; 7, 60; 10, 70
To find the equation of the trend line in slope-intercept form (y = mx + b), we need to calculate the slope (m) and the y-intercept (b).
First, let's calculate the slope using the formula:
m = (y2 - y1) / (x2 - x1)
Let's take points (1, 25) and (10, 70) to calculate the slope:
m = (70 - 25) / (10 - 1)
m = 45 / 9
m = 5
Now that we have the slope, we can pick any point to calculate the y-intercept. Let's use point (1, 25):
y = mx + b
25 = 5(1) + b
25 = 5 + b
b = 25 - 5
b = 20
Therefore, the equation of the trend line in slope-intercept form is:
y = 5x + 20
First, let's calculate the slope using the formula:
m = (y2 - y1) / (x2 - x1)
Let's take points (1, 25) and (10, 70) to calculate the slope:
m = (70 - 25) / (10 - 1)
m = 45 / 9
m = 5
Now that we have the slope, we can pick any point to calculate the y-intercept. Let's use point (1, 25):
y = mx + b
25 = 5(1) + b
25 = 5 + b
b = 25 - 5
b = 20
Therefore, the equation of the trend line in slope-intercept form is:
y = 5x + 20
Points are: 0, 0; 3, 20; 4, 45; 5, 50; 8, 95; 10, 90; 12, 130; 17, 170; 18, 160; 20, 210.
A librarian collected data on the number of pages in chapters of a book. Interpret the slope and the y-intercept of the linear model. Round the slope to the nearest hundredth. (1 point) Responses For every 10 chapters of a book, there is an average of 1 page. For every 10 chapters of a book, there is an average of 1 page. For every chapter of a book, there is an average of 0.1 page. For every chapter of a book, there is an average of 0.1 page. For every chapter of a book, there is an average of 10 pages. For every chapter of a book, there is an average of 10 pages. For every chapter of a book, there is an average of110 page.
A librarian collected data on the number of pages in chapters of a book. Interpret the slope and the y-intercept of the linear model. Round the slope to the nearest hundredth. (1 point) Responses For every 10 chapters of a book, there is an average of 1 page. For every 10 chapters of a book, there is an average of 1 page. For every chapter of a book, there is an average of 0.1 page. For every chapter of a book, there is an average of 0.1 page. For every chapter of a book, there is an average of 10 pages. For every chapter of a book, there is an average of 10 pages. For every chapter of a book, there is an average of110 page.
To find the equation of the linear model in the form y = mx + b, where y represents the number of pages and x represents the number of chapters, we first need to find the slope and y-intercept.
Using the points provided, let's calculate the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Taking the points (3, 20) and (20, 210) to calculate the slope:
m = (210 - 20) / (20 - 3)
m = 190 / 17
m ≈ 11.18
Next, we can use the slope and any of the points (in this case, we can use point (0, 0)) to find the y-intercept (b) using the formula y = mx + b:
0 = 11.18(0) + b
b = 0
Therefore, the equation of the linear model would be:
y = 11.18x
Interpretation:
-The slope of 11.18 implies that for every additional chapter in the book, the average number of pages increases by approximately 11.18.
-The y-intercept of 0 indicates that when there are 0 chapters, there are 0 pages, which makes sense in this context because a book with 0 chapters would have no pages.
Using the points provided, let's calculate the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Taking the points (3, 20) and (20, 210) to calculate the slope:
m = (210 - 20) / (20 - 3)
m = 190 / 17
m ≈ 11.18
Next, we can use the slope and any of the points (in this case, we can use point (0, 0)) to find the y-intercept (b) using the formula y = mx + b:
0 = 11.18(0) + b
b = 0
Therefore, the equation of the linear model would be:
y = 11.18x
Interpretation:
-The slope of 11.18 implies that for every additional chapter in the book, the average number of pages increases by approximately 11.18.
-The y-intercept of 0 indicates that when there are 0 chapters, there are 0 pages, which makes sense in this context because a book with 0 chapters would have no pages.
Answer?
For every chapter of a book, there is an average of 11.18 pages.
2 answers