Some data were collected on the weight of a male white laboratory rat for the first 25 weeks after its birth. The linear regression equation is: Weight = 100 + 40(Time). Which is the best description of the slope for this regression equation in context of the problem?

The slope is 40 grams/week which means the mouse gains about 40 grams per week after birth.

The slope of the line of regression is the time since birth of the rat. It demonstrates the predicted weight of a laboratory rate after so many weeks since birth.

The slope is 40 and it means for every increase in weeks the graph will increase.

The slope is 40, which tells us the line increases.

Which is the best description of the y - intercept for the linear regression equation of the rats: Weight = 100 + 40(Time)?

The y-intercept is 100, which means the rat is predicted to weigh 100 grams at birth.

The y-intercept is 100, which is where the graph crosses the y-axis.

100 is where the data starts on the y-axis.

The y-intercept is 100, which means at a weight of 0, the rat will take 100 seconds.

Interpret the slope of the Least Squares Line Equation.

As hours increases by one, income will increase by 31.45.

Income increases by 31.45 with each additional 2 hours worked.

As hours increases by one, income will decrease by 242.3.

The coefficient of determination of the linear relationship between Florida boat registrations and manatee deaths was found to be r 2 = 0.897. Which of the following is the correct interpretation of the r 2 ?

89.7% of the variability in manatee deaths is explained by the least squares regression line of manatee deaths on Florida boat registrations.

89.7% of manatee deaths are due to the number of Florida boat registrations.

0.947 is the correlation between Florida boat registrations and manatee deaths.

Correlation is not causation so we cannot make any interpretations ever.

Which of the following is true of the correlation r?

It's between -1 and 1 inclusively.

It is a resistant measure of association

If r is the correlation between X and Y, then -r is the correlation between Y and X

Whenever all the data lie on a perfectly straight-line, the correlation will always be equal to +1.0

Making the statement: There is a positive linear correlation. is an example of what?

Interpreting Standard Deviation

A sociologist studying the relationship between early childhood nutrition and academic achievement in middle school among children in a certain city finds that the correlation between these two variables is 0.86. Which of the following conclusions can he draw from this study?

Children in this city who have a healthy diet in early childhood tend to do better in middle school.

Ensuring good nutrition in early childhood will increase academic achievement for middle school students.

Since the correlation is so low, no conclusions can be drawn.

The scatter plot shows the number coffee shops in different cities and the number of violent crimes. Which of the following is NOT true?

D) An increase in coffee shops causes an increase in violent crimes

A) As the number of coffee shops increase, violent crimes appears to increase.

B) The line of best fit (regression line) shows a positive correlation

C) The data has a positive correlation coefficient

A student with a 200 Verbal and 360 Math was added to the sample used to calculate the LSRL. How would this effect the correlation coefficient.

The added point is an influential observation and would increase r.

The added point fits the model and would have little effect on r.

The added point does not fit the model and would reduce r.

The added point is an influential observation, but since it fits the model, it would have little effect on r.

The _________________ ____________________ measures the strength of the relationship between 2 variables.

Standard Deviation of the Residuals

If you graphed height as the explanatory variable and weight as the response variable, what would happen to the LSRL and r if you had accidently graphed the weight as the explanatory variable and the height as the response variable?

LSRL would be different and r would stay the same

LSRL would be different and r would be different

LSRL would stay the same and r would be different

LSRL would stay the same and r would stay the same

83% of the variability in y can be explained by x. Only 17% is unexplained.

My data is very accurate. We have a 17% uncertainty.

My data is very accurate. I have 17% accuracy.

With practice, people become faster at solving a certain type of mathematical puzzle. Fourteen college students were allowed to practice completing a certain type of mathematical puzzle for different amounts of time. Afterwards, each student’s completion time on a new puzzle was measured. The Residual plot for regression of Completion Time on Practice Time is shown below. Which of the following is correct?

There is a non-linear relationship between Practice Time and Puzzle Completion Time.

There is a no relationship between Practice Time and Puzzle Completion Time.

This regression equation would likely overestimate the Puzzle Completion Time for 175 minutes of practice time.

AP Stat Scatter Plots

Authored by Barbara White

Mathematics

11th - 12th Grade

CCSS covered

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30 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Describe the relationship between the variables.

no correlation

strong positive correlation

strong negative correlation

weak positive correlation

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Describe the correlation in the graph shown.

Strong Negative

Strong Positive

Weak Negative

Weak Positive

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Describe the correlation in the graph shown.

Strong Negative

Strong Positive

Weak Negative

No Correlation

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Describe the correlation in the graph shown.

Strong Negative

Strong Positive

Weak Negative

Weak Positive

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Estimate the correlation coefficient.

r=0

r=-1

r=1

r=2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many chapters would be in a book with 180 pages.

12 chapters

15 chapters

18 chapters

21 chapters

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If Joe worked 30 hours, how much is he expected to earn?

$600

$200

$1000

$800

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AP Stat Scatter Plots

Describe the relationship between the variables.

Describe the correlation in the graph shown.

Describe the correlation in the graph shown.

Describe the correlation in the graph shown.

Estimate the correlation coefficient.

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many chapters would be in a book with 180 pages.

If Joe worked 30 hours, how much is he expected to earn?

If Gold's Gym is looking to buy 30 TVs, how much will each one cost?

The chart below tracts starting salaries for health care workers since the year 2000. Find the least squares regression equation.

Some data were collected on the weight of a male white laboratory rat for the first 25 weeks after its birth. The linear regression equation is:
Weight = 100 + 40(Time).
Which is the best description of the slope for this regression equation in context of the problem?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

AP Stat Scatter Plots

Describe the relationship between the variables.

Describe the correlation in the graph shown.

Describe the correlation in the graph shown.

Describe the correlation in the graph shown.

Estimate the correlation coefficient.

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many chapters would be in a book with 180 pages.

If Joe worked 30 hours, how much is he expected to earn?

If Gold's Gym is looking to buy 30 TVs, how much will each one cost?

The chart below tracts starting salaries for health care workers since the year 2000. Find the least squares regression equation.

Some data were collected on the weight of a male white laboratory rat for the first 25 weeks after its birth. The linear regression equation is:Weight = 100 + 40(Time). Which is the best description of the slope for this regression equation in context of the problem?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Some data were collected on the weight of a male white laboratory rat for the first 25 weeks after its birth. The linear regression equation is:
Weight = 100 + 40(Time).
Which is the best description of the slope for this regression equation in context of the problem?