The x-axis represents a student's age in years and the y-axis represents the number of times the student cried each month on average.

Question

Which of these vocabulary words can be used to describe the data represented in the scatterplot? Choose all that apply.

(3 points)
Responses

Univariate

Decreasing
Decreasing

Bivariate
Bivariate

Increasing
Increasing

Proportional
Proportional

Linear trend
Linear trend

Positive trend
Positive trend
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Answer 1

To analyze the data represented in the scatterplot where the x-axis represents a student's age in years and the y-axis represents the average number of times the student cried each month, we can assess the vocabulary words provided:

1. Univariate - This term describes a single variable. Since the data involves two variables (age and crying frequency), this does not apply.

2. Bivariate - This term describes data involving two variables. In this case, it is applicable because we are looking at age and crying frequency together.

3. Decreasing - If the trend in the scatterplot shows that as age increases, the number of times a student cries decreases, this term would apply. Without seeing the plot, we cannot definitively state if this applies.

4. Increasing - If the trend shows that as age increases, the number of times a student cries increases, this term would apply. Again, this is dependent on the actual scatterplot.

5. Proportional - This term typically refers to a consistent ratio between two variables. The scatterplot may or may not exhibit a proportional relationship depending on its pattern. Without the graph, we can't definitively conclude this.

6. Linear trend - If the points form a straight line trend (either increasing or decreasing), this term would apply.

7. Positive trend - This would apply if the points show an upward trend (more crying as age increases).

Based on this analysis, the applicable vocabulary words are:

• Bivariate
• Decreasing (if the trend shows this)
• Increasing (if the trend shows this)
• Linear trend (if the trend follows a straight line)
• Positive trend (if the trend is upward)

If we know the direction of the trend from the scatterplot, we can accurately choose between "Decreasing," "Increasing," or "Positive trend." As it stands, we can definitively state "Bivariate" applies.

Answer 2

choose three

Answer 3

Based on the analysis, the three vocabulary words that can be chosen to describe the data represented in the scatterplot are:

1. Bivariate - Because the graph involves two variables (age and crying frequency).
2. Decreasing - If the trend indicates that the number of times a student cries decreases as age increases.
3. Linear trend - If the points form a straight line, indicating a consistent trend over the range of data.

If "Decreasing" does not apply based on the actual data, you could choose "Increasing" instead. However, without seeing the scatterplot, "Bivariate" and "Linear trend" are the most reliable choices along with either "Decreasing" or "Increasing" depending on the observed trend in the graph.

Answer 4

The scatter plot represents the weight of a car and its gas mileage. Based on the data presented, which statement is true?

(1 point)
Responses

Gas mileage decreases with a decrease in car weight.
Gas mileage decreases with a decrease in car weight.

The heaviest car gets the best gas mileage.
The heaviest car gets the best gas mileage.

Gas mileage decreases with an increase in car weight.
Gas mileage decreases with an increase in car weight.

The lightest car gets the worst gas mileage.
The lightest car gets the worst gas mileage.

Answer 5

Based on the typical relationship between a car's weight and its gas mileage, the most accurate statement among the provided options is:

• Gas mileage decreases with an increase in car weight.

Heavier cars generally require more energy (and thus more fuel) to operate, which typically results in lower gas mileage.

The other statements are not accurate, as they either contradict this common understanding or misrepresent the relationship between weight and gas mileage.

Answer 6

Use the graph to match the correct answer.

(3 points)
Trend of the data
Meaning of the y-intercept
Meaning of the slope

trend responses
as the temperature goes up, the number of chirps goes up
there is no trend since the data points do not fall on the line.
as the temperature goes up, the number of chirps goes down

slope responses
for every 1 degree increase in temperature, there is 1 more cricket chirp
for every 20 degrees increase in temperature, there is 100 more chirps
for every 20 chirps, there is one degree increase in temperature

y-intercept
when the temperature is 0 degrees, there are about 30 chirps
when the temperature is 0 degrees, there are 0 chirps
there are 0 chirps when the temperature is about 30 degrees

Answer 7

To match the correct answers based on the typical relationships observed in a graph that plots temperature against the number of cricket chirps, you would assign the responses as follows:

Trend of the Data

• as the temperature goes up, the number of chirps goes up: This indicates a positive correlation between temperature and the number of chirps, which is common in such data.

Meaning of the Y-Intercept

• when the temperature is 0 degrees, there are about 30 chirps: The y-intercept indicates the expected number of chirps when the temperature is zero, suggesting that crickets may still chirp at that temperature, even if it's minimal.

Meaning of the Slope

• for every 20 degrees increase in temperature, there is 100 more chirps: This response suggests a specific, quantifiable relationship between temperature increases and chirping frequency, which is a typical interpretation of slope in such a context.

Final Assignments:

• Trend of the Data: as the temperature goes up, the number of chirps goes up
• Slope: for every 20 degrees increase in temperature, there is 100 more chirps
• Y-Intercept: when the temperature is 0 degrees, there are about 30 chirps

If the specifics of the graph differ, you may want to adjust these responses accordingly, but these selections are based on common patterns observed in related data.

Answer 8

Looking at the graph, which statements are true? Check all that apply.

(3 points)
Responses

The water temperature is usually about 110 degrees on the surface of the water.
The water temperature is usually about 110 degrees on the surface of the water.

It is a probabilistic interpretation to say that the water temperature drops as the scuba diver goes deeper into the water.
It is a probabilistic interpretation to say that the water temperature drops as the scuba diver goes deeper into the water.

The water would hit zero degrees after diving down about 125 feet.
The water would hit zero degrees after diving down about 125 feet.

The temperature seems to be dropping 1 degree per foot as the diver dives deeper.
The temperature seems to be dropping 1 degree per foot as the diver dives deeper.

We can use a deterministic interpretation to say that the water temperature would be over 120 degrees if the scuba diver was -10 ft out of the water.

Answer 9

To determine which statements are true based on a graph showing water temperature as a function of depth, we can analyze them based on common scientific principles related to water temperature and diving:

1. The water temperature is usually about 110 degrees on the surface of the water.

   • If the graph shows that the surface temperature is indeed around 110 degrees, then this statement would be true. Otherwise, it is false.

2. It is a probabilistic interpretation to say that the water temperature drops as the scuba diver goes deeper into the water.

   • This statement is typically more deterministic than probabilistic. Water temperature generally decreases with depth until reaching a certain point, making this statement misleading. Thus, this might not be true in a standard interpretation.

3. The water would hit zero degrees after diving down about 125 feet.

   • This statement would need verification from the graph. If the graph shows that the temperature reaches zero degrees around that depth, then it is true.

4. The temperature seems to be dropping 1 degree per foot as the diver dives deeper.

   • If the graph indicates a consistent linear drop of 1 degree for each foot of depth (a constant slope), then this statement is true.

5. We can use a deterministic interpretation to say that the water temperature would be over 120 degrees if the scuba diver was -10 ft out of the water.

   • This interpretation would depend on how the graph is structured. A hypothetical position of -10 feet (out of the water) suggests an extrapolation based on the graph. If it supports that kind of extrapolation, it could be considered true; otherwise, it could be questionable.

Conclusion

Without seeing the graph, here is what you would generally look for in the true statements:

• True: "The water temperature is usually about 110 degrees on the surface of the water," if it visually checks out.
• True: "The temperature seems to be dropping 1 degree per foot as the diver dives deeper," if it reflects the graph slope correctly.
• True/False: “The water would hit zero degrees after diving down about 125 feet,” based on the graph.
• False: "It is a probabilistic interpretation…” likely means this is not the best way to interpret the regular drop in temperature.
• True/False: “We can use a deterministic interpretation…” depends on the data, though it suggests an extrapolation from the graph.

Please confirm these outcomes against the actual graph for accurate verification.

Answer 10

Match the graph with the correct description.(4 points)

responses
nonlinear, decreasing
linear, moderate, positive
linear, strong, positive
linear, moderate, negative

Answer 11

To appropriately match the graph with the correct description, we must consider the characteristics of the graph in question based on its trend and shape. Here’s how you could approach this:

1. Nonlinear, Decreasing: This description would apply if the graph shows a curve that generally trends downward but does not form a straight line.

2. Linear, Moderate, Positive: This would be applicable if the graph shows a straight line with a positive slope that is not very steep.

3. Linear, Strong, Positive: This would be the choice if the graph depicts a straight line that rises sharply, indicating a strong correlation where increases in the x-axis correspond to significant increases in the y-axis.

4. Linear, Moderate, Negative: This would fit if the graph shows a straight line with a negative slope, suggesting that as values on the x-axis increase, values on the y-axis decrease, but the slope is moderate (not too steep).

Matching Approach:

• If the graph represents a downward curve: Match with nonlinear, decreasing.
• If the graph is a straight line that rises moderately: Match with linear, moderate, positive.
• If the graph is a straight line that rises sharply: Match with linear, strong, positive.
• If the graph is a straight line that falls moderately: Match with linear, moderate, negative.

Given this framework, please choose the best description based on the visual characteristics of the graph you are examining.