The slope of the linear model represents how much the y-variable changes for a one unit increase in the x-variable. The y-intercept is the value of y when the x-variable is 0.
To interpret the slope and y-intercept of the linear model, we need to look at the context of the problem and the specific variables involved in the model. The rounded slope value is important because it tells us the rate of change between the x and y variables.
For example, if the slope of the linear model is 0.75, it means that for every one unit increase in the x-variable, the y variable increases by a rate of 0.75. The y-intercept would be the initial value of y when x is 0.
Overall, the slope and y-intercept help us understand the relationship between the variables in the linear model and how they interact with each other.
A librars of a book. Interpret the slope and the y-intercept of the linear model. Round the slope to the nearest hundredth. (1 point)
11 answers
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 chapter of a book, there is an average of 1/10 page. For every chapter of a book, there is an average of 1/10 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 of 1 page. For every chapter of a book, there is an average of 1 page.
Given the information provided, if the linear model for the number of pages in chapters of a book has a slope of 0.1, it means that on average, each additional chapter in the book corresponds to an increase of 0.1 page.
The y-intercept of the linear model (if not explicitly stated in the question) represents the starting point when the x-variable is 0. In this case, it would mean that when there are 0 chapters in the book, there are 0 pages.
Therefore, the interpretation of the slope is that for every chapter added to the book, there is an average increase of 0.1 pages. The y-intercept implies that at the start, when there are no chapters, there are no pages in the book.
The y-intercept of the linear model (if not explicitly stated in the question) represents the starting point when the x-variable is 0. In this case, it would mean that when there are 0 chapters in the book, there are 0 pages.
Therefore, the interpretation of the slope is that for every chapter added to the book, there is an average increase of 0.1 pages. The y-intercept implies that at the start, when there are no chapters, there are no pages in the book.
A poll was taken to explore the relationship between the age and support for a candidate in an election. The results of the poll are summarized in the table. How many people above the age 30 are for the candidate? (1 point) Responses 40 40 55 55 70 70 95
table:
ages: 21-30
31-40
over 40
for:
40
30
25
against:
22
50
35
no option:
18
25
8
table:
ages: 21-30
31-40
over 40
for:
40
30
25
against:
22
50
35
no option:
18
25
8
To find out how many people above the age of 30 are for the candidate, we need to add up the number of people who are "for" from the "31-40" group and the "over 40" group.
From the table:
- For the "31-40" age group, there are 30 people for the candidate.
- For the "over 40" age group, there are 25 people for the candidate.
Therefore, the total number of people above the age of 30 who are for the candidate is 30 + 25 = 55 people.
From the table:
- For the "31-40" age group, there are 30 people for the candidate.
- For the "over 40" age group, there are 25 people for the candidate.
Therefore, the total number of people above the age of 30 who are for the candidate is 30 + 25 = 55 people.
Find the mean absolute deviation of the following dataset. Round your answer to the nearest tenth. 204, 211, 216, 300, 426, 567, 680 (1 point)
To find the mean absolute deviation (MAD) of a dataset, you first calculate the mean (average) of the dataset. Then, find the absolute value of the difference between each data point and the mean. Finally, calculate the average of these absolute differences.
First, let's find the mean of the dataset:
(204 + 211 + 216 + 300 + 426 + 567 + 680) / 7 = 261.29 (rounded to two decimal places)
Next, calculate the absolute deviation for each data point from the mean:
|204 - 261.29| = 57.29
|211 - 261.29| = 50.29
|216 - 261.29| = 45.29
|300 - 261.29| = 38.71
|426 - 261.29| = 164.71
|567 - 261.29| = 305.71
|680 - 261.29| = 418.71
Now, find the mean of these absolute deviations:
(57.29 + 50.29 + 45.29 + 38.71 + 164.71 + 305.71 + 418.71) / 7 = 147.99
Therefore, the mean absolute deviation of the dataset is 147.99 (rounded to the nearest tenth).
First, let's find the mean of the dataset:
(204 + 211 + 216 + 300 + 426 + 567 + 680) / 7 = 261.29 (rounded to two decimal places)
Next, calculate the absolute deviation for each data point from the mean:
|204 - 261.29| = 57.29
|211 - 261.29| = 50.29
|216 - 261.29| = 45.29
|300 - 261.29| = 38.71
|426 - 261.29| = 164.71
|567 - 261.29| = 305.71
|680 - 261.29| = 418.71
Now, find the mean of these absolute deviations:
(57.29 + 50.29 + 45.29 + 38.71 + 164.71 + 305.71 + 418.71) / 7 = 147.99
Therefore, the mean absolute deviation of the dataset is 147.99 (rounded to the nearest tenth).
the options are 159.1
151
372
72.3
151
372
72.3
To find the correct mean absolute deviation, let's recalculate the steps:
1. Calculate the mean of the dataset:
(204 + 211 + 216 + 300 + 426 + 567 + 680) / 7 = 370.71
2. Calculate the absolute deviation for each data point from the mean:
|204 - 370.71| = 166.71
|211 - 370.71| = 159.71
|216 - 370.71| = 154.71
|300 - 370.71| = 70.71
|426 - 370.71| = 55.29
|567 - 370.71| = 196.29
|680 - 370.71| = 309.29
3. Find the mean of these absolute deviations:
(166.71 + 159.71 + 154.71 + 70.71 + 55.29 + 196.29 + 309.29) / 7 = 159.1
Therefore, the correct mean absolute deviation of the dataset is 159.1.
1. Calculate the mean of the dataset:
(204 + 211 + 216 + 300 + 426 + 567 + 680) / 7 = 370.71
2. Calculate the absolute deviation for each data point from the mean:
|204 - 370.71| = 166.71
|211 - 370.71| = 159.71
|216 - 370.71| = 154.71
|300 - 370.71| = 70.71
|426 - 370.71| = 55.29
|567 - 370.71| = 196.29
|680 - 370.71| = 309.29
3. Find the mean of these absolute deviations:
(166.71 + 159.71 + 154.71 + 70.71 + 55.29 + 196.29 + 309.29) / 7 = 159.1
Therefore, the correct mean absolute deviation of the dataset is 159.1.
A meteorologist collected data on a recent snowfall. The meteorologist graphed the data and found the equation of the trend line to be y = 1.7x + 0.1 If the snowfall continues at this pace, use the equation to predict the number of inches of snowfall after 10 hours. Round to the nearest tenth.
To predict the number of inches of snowfall after 10 hours using the equation y = 1.7x + 0.1, where y represents the inches of snowfall and x represents the number of hours, we substitute x = 10 into the equation and solve for y:
y = 1.7(10) + 0.1
y = 17 + 0.1
y = 17.1
Therefore, if the snowfall continues at this pace, the predicted number of inches of snowfall after 10 hours would be 17.1 inches (rounded to the nearest tenth).
y = 1.7(10) + 0.1
y = 17 + 0.1
y = 17.1
Therefore, if the snowfall continues at this pace, the predicted number of inches of snowfall after 10 hours would be 17.1 inches (rounded to the nearest tenth).
1 answer