The correct response is: to determine if the evidence supports a claim.
Evaluating the evidence of a claim serves which purpose? (1 point)
Responses
to determine if the evidence matches the opinions of others
to determine if the evidence feels right
to determine if the evidence feels right
to determine if the evidence supports a claim
to determine if the evidence supports a claim
to determine if the evidence is popular
11 answers
Which piece of evidence would be relevant to the claim "Mulligan's T-shirts has the best prices in town"?(1 point)
Responses
There are several different cuts of t-shirts available.
There are several different cuts of t-shirts available.
The other store in town charges 25% more for the same designs.
The other store in town charges 25% more for the same designs.
Mulligan's t-shirts are more expensive than the ones on the internet.
Mulligan's t-shirts are more expensive than the ones on the internet.
Mulligan's offers more colors than any other store.
Responses
There are several different cuts of t-shirts available.
There are several different cuts of t-shirts available.
The other store in town charges 25% more for the same designs.
The other store in town charges 25% more for the same designs.
Mulligan's t-shirts are more expensive than the ones on the internet.
Mulligan's t-shirts are more expensive than the ones on the internet.
Mulligan's offers more colors than any other store.
The relevant piece of evidence to the claim "Mulligan's T-shirts has the best prices in town" is: The other store in town charges 25% more for the same designs.
A botanist collected data on the growth of sunflowers to maturity.
She modeled the equation y=x+32
for the line of best fit.
The independent variable, x, is time in weeks and the dependent variable, y, is height in feet. What does the slope mean in this context?
(1 point)
Responses
The sunflower's height increases by an additional 3/2 foot each week.
The sunflower's height increases by an additional 3/2 foot each week.
The sunflower's age increases by an additional 3/2 week every 1 foot.
The sunflower's age increases by an additional 3/2 week every 1 foot.
The sunflower's height increases by an additional 1 foot each week.
The sunflower's height increases by an additional 1 foot each week.
The sunflower's starting height is 3/2 foot.
The sunflower's starting height is 3/2 foot.
The sunflower's starting height is 1 foot.
The sunflower's starting height is 1 foot.
She modeled the equation y=x+32
for the line of best fit.
The independent variable, x, is time in weeks and the dependent variable, y, is height in feet. What does the slope mean in this context?
(1 point)
Responses
The sunflower's height increases by an additional 3/2 foot each week.
The sunflower's height increases by an additional 3/2 foot each week.
The sunflower's age increases by an additional 3/2 week every 1 foot.
The sunflower's age increases by an additional 3/2 week every 1 foot.
The sunflower's height increases by an additional 1 foot each week.
The sunflower's height increases by an additional 1 foot each week.
The sunflower's starting height is 3/2 foot.
The sunflower's starting height is 3/2 foot.
The sunflower's starting height is 1 foot.
The sunflower's starting height is 1 foot.
In the equation \( y = x + 32 \), the slope is 1 (since the coefficient of \( x \) is 1). This means that for each additional week (increase in \( x \)), the height of the sunflower (increase in \( y \)) increases by 1 foot.
Therefore, the correct response is: The sunflower's height increases by an additional 1 foot each week.
3 of 153 of 15 Items
Question
The scatter plot shows the relationship between combined SAT score and first semester college GPA.
Choose all statements that are correct.
(3 points)
Responses
The line of best fit shows that the combined SAT Score and first semester SAT have a negative correlation.
The line of best fit shows that the combined SAT Score and first semester SAT have a negative correlation.
A reasonable prediction SAT score of 1700 is a GPA of 3.0.
A reasonable prediction SAT score of 1700 is a GPA of 3.0.
The line of best fit can be used to make predictions of GPA based on SAT score.
The line of best fit can be used to make predictions of GPA based on SAT score.
This is not an accurate line of best fit because it doesn't hit the lowest point.
This is not an accurate line of best fit because it doesn't hit the lowest point.
The line of best fit gives the best approximation of the association between SAT score and GPA.
The line of best fit gives the best approximation of the association between SAT score and GPA.
A reasonable prediction SAT score of 2100 is a GPA of 3.5.
A reasonable prediction SAT score of 2100 is a GPA of 3.5.
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Question
The scatter plot shows the relationship between combined SAT score and first semester college GPA.
Choose all statements that are correct.
(3 points)
Responses
The line of best fit shows that the combined SAT Score and first semester SAT have a negative correlation.
The line of best fit shows that the combined SAT Score and first semester SAT have a negative correlation.
A reasonable prediction SAT score of 1700 is a GPA of 3.0.
A reasonable prediction SAT score of 1700 is a GPA of 3.0.
The line of best fit can be used to make predictions of GPA based on SAT score.
The line of best fit can be used to make predictions of GPA based on SAT score.
This is not an accurate line of best fit because it doesn't hit the lowest point.
This is not an accurate line of best fit because it doesn't hit the lowest point.
The line of best fit gives the best approximation of the association between SAT score and GPA.
The line of best fit gives the best approximation of the association between SAT score and GPA.
A reasonable prediction SAT score of 2100 is a GPA of 3.5.
A reasonable prediction SAT score of 2100 is a GPA of 3.5.
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To determine which statements about the scatter plot showing the relationship between combined SAT scores and first-semester college GPA are correct, we can analyze each statement based on the typical interpretation of such data. Here's how to evaluate them:
-
The line of best fit shows that the combined SAT Score and first semester SAT have a negative correlation.
- Generally, higher SAT scores are associated with higher GPAs, which would indicate a positive correlation. This statement is likely incorrect.
-
A reasonable prediction SAT score of 1700 is a GPA of 3.0.
- Depending on the data shown in the scatter plot, this statement could be either correct or incorrect. Without visual data, it's indeterminate. We need to check the scatter plot to validate this.
-
The line of best fit can be used to make predictions of GPA based on SAT score.
- This statement is generally true, as a line of best fit is designed to help make predictions. This statement is correct.
-
This is not an accurate line of best fit because it doesn't hit the lowest point.
- A line of best fit does not need to pass through the lowest point, as its purpose is to minimize the distance between itself and all the data points. This statement is likely incorrect.
-
The line of best fit gives the best approximation of the association between SAT score and GPA.
- The line of best fit is designed to provide an approximation of the relationship in the data, so this statement is correct.
-
A reasonable prediction SAT score of 2100 is a GPA of 3.5.
- Similar to statement 2, this will depend on the scatter plot. We cannot determine its validity without analyzing the data.
In summary, based on general knowledge about scatter plots and lines of best fit, the following statements are likely correct:
- The line of best fit can be used to make predictions of GPA based on SAT score.
- The line of best fit gives the best approximation of the association between SAT score and GPA.
Check the scatter plot to verify the accuracy of statements 2 and 6.
If you were going to gather some statistics to create a scatter plot, draw a line of best fit, and interpret the slope and y-intercept in context, which of these would be a good statistical question to ask? Check all that apply.(2 points)
Responses
How tall are the students in your grade level at school?
How tall are the students in your grade level at school?
Was your height greater than 60 cm before your last birthday?
Was your height greater than 60 cm before your last birthday?
What kind of car does your family drive?
What kind of car does your family drive?
What percentage of families in Florida had a radio in 1930?
What percentage of families in Florida had a radio in 1930?
What is your favorite color?
What is your favorite color?
How is college student enrollment changing over the last century?
How is college student enrollment changing over the last century?
Responses
How tall are the students in your grade level at school?
How tall are the students in your grade level at school?
Was your height greater than 60 cm before your last birthday?
Was your height greater than 60 cm before your last birthday?
What kind of car does your family drive?
What kind of car does your family drive?
What percentage of families in Florida had a radio in 1930?
What percentage of families in Florida had a radio in 1930?
What is your favorite color?
What is your favorite color?
How is college student enrollment changing over the last century?
How is college student enrollment changing over the last century?
To gather statistics for creating a scatter plot, drawing a line of best fit, and interpreting the slope and y-intercept, you want a statistical question that involves two continuous quantitative variables, where you can find a relationship between them. Here's an analysis of each question:
-
How tall are the students in your grade level at school?
- This is a descriptive question about height but lacks a second variable. Not appropriate.
-
Was your height greater than 60 cm before your last birthday?
- This is a yes/no question, thus not suitable for scatter plots. Not appropriate.
-
What kind of car does your family drive?
- This question is categorical and doesn't involve two continuous variables. Not appropriate.
-
What percentage of families in Florida had a radio in 1930?
- This is a historical statistic question but doesn't involve two continuous variables for a scatter plot. Not appropriate.
-
What is your favorite color?
- This is also a categorical question and does not involve continuous variables. Not appropriate.
-
How is college student enrollment changing over the last century?
- This question implies tracking enrollment numbers over time, which involves two continuous variables (time and enrollment). This would be suitable for analysis with a scatter plot. Appropriate.
In conclusion, the only good statistical question from the given options for creating a scatter plot and analyzing relationships would be:
- How is college student enrollment changing over the last century?
choose two
Apologies for the oversight. Given the need to select two options from the list, including one that could imply continuous data, the best choices would be:
-
How tall are the students in your grade level at school? (This can represent a dataset of heights.)
-
How is college student enrollment changing over the last century? (This suggests a analysis over time, involving two continuous variables: time and enrollment.)
So, the two selected options that are appropriate for creating a scatter plot and analyzing relationships would be:
- How tall are the students in your grade level at school?
- How is college student enrollment changing over the last century?
1 answer