What type of plot should be used to display two quantitative variables? Question

Question

What type of plot should be used to display two quantitative variables?

Question 1 options:

Box plot

Scatterplot

Dot plot

Histogram

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Question 2

Which of the following represents the strongest valid correlation coefficient?

Question 2 options:

r = -0.003

r = 0.571

r = 1.362

r = -0.867

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Question 3

Match the correlation to the correct plot.

Question 3 options:

1234

r = 0.49

1234

r = -0.48

1234

r = -0.85

1234

r = -0.03

Plot 1 (upper left)

Plot 2 (upper right)

Plot 3 (lower left)

Plot 4 (lower right)

Question 4 (1 point)

Suppose that x is the age of a husband, and y is the age of his wife. If men always marry women who are 3 years younger than themselves, what is the equation for y (wife's age) as a function of x (husband's age)?

Question 5

In the scenario in above, what would the correlation between x and y be?

Question 5 options:

0

1

-1

More information is needed to answer this question.

Information

Use the following information for problems 6 through 12.

The space shuttle Challenger was destroyed as it launched in January 1986 due to multiple failed O-rings. We have data on the number of failed O-rings at previous launches, and some have noted that more O-ring failures occurred at lower launch temperatures. Before the Challenger launched, the previous minimum launch temperature was 53 F, and predicted temperature for Challenger's launch was 32 F. We want to evaluate the evidence of a relationship between temperature and ring failures.

Question 6 (1 point)

The data are in the web app under [Two Quant] as the [Pre-loaded] [shuttle] data. Load it with [Use these data] and copy the least squares line into this box. (Swap order of entry if needed to make damage the response variable and temperature the explanatory variable.)

Question 6 options:

Question 7

Does the plot indicate more of a problem at lower temperatures?

Question 7 options:

No, we see fewer failures at lower temperatures and the slope is negative.

Yes, we see more failures at lower temperatures and the slope is not negative.

No, we don't see more failures at lower temperatures and the slope is not negative.

Yes, we see more failures at lower temperatures and the slope is negative.

Question 8

Which is the best explanation of the estimated y-intercept?

Question 8 options:

At 16.9F we expect to see no failures

When there are 16.9 failures we expect to the temperature to be 0F

At 0F we expect to see 16.9 failures.

When there are no failures we expect to the temperature to be 16.9F.

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Question 9

Which is the best explanation of the estimated slope?

Question 9 options:

Each increase of 1F increases expected damage by 0.22.

Each increase in 1 failure decreases expected temperature by 0.22F.

Each increase of 1F decreases expected damage by 0.22.

Each increase in 1 failure increases expected temperature by 0.22F.

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Question 10

Predict the number of O-ring failures at 57 F. (use 2 decimal place accuracy)

Your Answer:Question 10 options:

Question 11

Predict the number of O-ring failures at 32 F. (use 2 decimal place accuracy)

Your Answer:Question 11 options:

Question 12

What problem occurs when we predict number of failures at 32F?

Question 12 options:

Prediction error, temperature at launch time was not known the day before the launch.

Extrapolation, 32F is far lower than 53F, the next lowest temperature.

Interpolation, 32F is between the other x values.

Information

Use the following information for problems 13 to 17.

Researchers at a university used volunteers from classes they taught who were Facebook users as their subjects. Each subject was shown the same fake Facebook page and was asked to rate the “social attractiveness” of the page's owner. The pages shown were all the same except that researchers randomly changed the number of “Facebook friends” to be either 302, 502, 702, or 902. They theorize that it can hurt attractiveness to have too many friends. The least squares line is

socialAtt = 5.039 + -0.111 * (friends/100)

Question 13

What notation should be used for the value 5.039?

Question 13 options:

?1ˆ

?1

?0ˆ

?0

Question 14

On average, what does the regression line say happens when they add 100 friends?

Question 14 options:

Social attraction decreases by 5.039 units

Social attraction increases by 0.111 units

Social attraction increases by 5.039 units

Social attraction decreases by 0.111 units

Question 15

Predict the social attraction for someone with 502 Facebook friends.

Question 15 options:

4.482

-0.533

25.185

5.595

Question 16

What is the scope of inference for this example?

Question 16 options:

More Facebook friends caused lower social attraction for the people in this study.

More Facebook friends was associated with lower social attraction for all students at this university.

More Facebook friends was associated with lower social attraction for the people in this study.

More Facebook friends caused lower social attraction for all students at this university.

Question 17

What can you say about the correlation between Facebook friends and social attractiveness?

Question 17 options:

It must be positive.

It must be 0.

You cannot tell anything about the correlation between two variables without seeing the plot.

It must be negative.

Box plot

Scatterplot

Dot plot

Histogram

Explanation / Answer

1) when we need to show the relation between the two quantitaive variables the easy and the most accurate plot is the scatter plot. it represent the values of one variable with respect to the value of the other variables.

therefore option B is correct

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