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- anonymous

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An X-Y graph with plots of observations allows sketching a trend line. What does the slope of the trend line represent?
A. the rate of change in accuracy of the data
B. the slope of the trend line has no meaning in experiments
C. how much time it will take to perform the experiment
D. the ratio of the independent variable to the dependent variable

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What is the most precise method for recording data points during an experiment?
A. plotting the data point on an X-Y graph
B. creating a pie chart for each observation
C. filling a table with the changed and measured data values
D. marking the closest point on the trend line of an X-Y graph
On an X-Y graph, where is the dependent variable scale (the marked increments)?
A. The dependent variable scale is along the X-axis (horizontal).
B. The dependent variable scale is along the trend line.
C. The dependent variable scale is along the Y-axis (vertical).
D. The dependent variable scale is not part of an X-Y graph.
What is a prediction?
A. a conclusion
B. another hypothesis
C. observed data that does not support the hypothesis
D. another proposed data point on the trend line but not observed data
Which representation of the observed data is best to show quantities instead of trends?
A. table
B. bar chart
C. X-Y graph trend line
D. X-Y graph plots

- anonymous

Question 1)
Think about this question, if it helps draw a quick picture. Imagine I have two points: (1,1) and (2,3); and I connect them with a line. On the x-axis (the independent variable), starting at x=1, when I move 1 unit to the right.... the dependent variable increased by two. The slope of this line is equal to rise over run.... i.e.:
\[\frac{ \Delta y }{ \Delta x } = \frac{3-1}{2-1} = 2\]
So even, if you are not sure about the other answer choices, you can definitely conclude that it shows a relation between the independent and dependent variables.
Now if instead of two points, I have a bunch of points and I draw a trend line. This trend line will tell you, on average, how the independent variable is related to the dependent variable. So if I just said a random x value (independent variable) to you... based on this value you could tell me the corresponding y value (as long as this trend holds). So for these reasons, its the ratio of the two variables that is given by this information.... i.e. answer D.

- anonymous

Question 2)
Without overthinking this problem the answer would be to record it in a table. The reason the table is the best answer is because with the numbers recorded in this form, one can easily generate any number of graphs, charts, or trend lines to their hearts content. But if you were to plot it immediately, and then decide you would like a pie chart.... well have fun getting the values back to then make the pie chart. Also a rough trend line could be drawn if you just plotted the points on the graph, but in order to make it precise you need to have the numbers to actually CALCULATE the real trend line.... again you need the numbers.

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- anonymous

Question 3)
One of the benefits to truly mastering this material and going on to actually use it in your daily life or job is that you can pretty much do anything you want. However it is standard practice (convention) to plot the dependent variable on the VERTICAL or y-axis, and the independent variable on the HORIZONTAL or x-axis.

- anonymous

Question 4)
A prediction is just another word for a guess, albeit an educated one. So in this sense, a prediction is a form of hypothesis. It means you know enough about what you are studying to make a guess about its behavior, which you then conduct an experiment or experiments to attempt to prove it wrong. In this why it is definitely a hypothesis.
BTW note how I said your goal is to PROVE IT WRONG. It is true that in practice you can formulate and conduct an experiment, how ever you choose. However, if you set out with the explicit goal of proving yourself wrong, you are less likely to bias your experiment in favor of what you are looking for. Also, assuming your first experiment confirms your prediction, you are less likely to just say, "OK problem solved I proved what I wanted," and then not try to look into the matter any further.

- anonymous

Question 5)
A bar chart, also known as a histogram, is best for this purpose. Since the goal stated in the problem is to show the QUANTITIES of given observations, bar charts are the best because they draw attention FIRST to the amount. The size of the bars are determined by the amount of a given observation.

- anonymous

Thank you I've been at this for 6 hours on and off just trying to answer it right, I must be tired case usually this stuff is easy for me

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