A study is conducted to determine if one can predict the yield of a crop based on the amount of fertilizer applied to the soil. The response variable in this study is...

amount of fertilizer applied to the soil.

the difference between the observed response and the values predicted by the model.

possible models not explored by the researcher.

variation in the response variable that is explained by the model.

data collected from individuals that is not consistent with the rest of the group.

a measure of the strength of the linear relationship between x and y .

For the years 1950-1980, the number of heart disease deaths per 100,000 people in the United States were recorded. The regression line below was computed using a statistical software package. which statement is the correct interpretation of the slope? The regression equation is Number of deaths = 7387 - 3.63 year

The number of heart disease deaths per 100,000 people has been dropping by an estimated 3.63 deaths per year on the average.

Heart disease will be cured in the year 2036.

The regression line estimates that for every 3.63 years there is an average of 1 death due to heart disease per 100,000 people.

For every 3.63 years there is a decrease on the average of 1 death due to heart disease per 100,000 people.

There is an increase of approximately 7387 deaths per year.

The correlation coefficient is

A number between -1 and +1 that measures the strength and direction of the linear relationship between two variables

always equal to the slope of the regression line

a positive number that measures the goodness of fit

the fraction of the variation in the values of y that is explained by the least-squares regression of y on x.

A sociologist is studying the relationship between early childhood nutrition and academic achievement in middle school among children in a certain city. Which of the following statements about the variable “early childhood nutrition” is correct?

Early childhood nutrition is an explanatory variable.

Early childhood nutrition is a response variable.

Since there is not a clear explanatory-response relationship in this scenario, we cannot classify early childhood nutrition as either explanatory or response.

The point in the upper right hand corner of the scatterplot is

an outlier and an influential point

not an outlier or an influential point

not an outlier but an influential point

an outlier but not an influential point

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.

The Coefficient of Determination (r 2 ) is

the percent increased by the regression mode on predictions made

r times the standard deviation of y over the standard deviation of x

predicted math grade = 65 + 2.56(study hours) What does the slope mean in context?

The model predicts an increase of 2.56 points in the math grade per hour studied, on average.

The model predicts an increase of 65 points in the math grade per hour studied, on average.

The model predicts an increase of 2.56 study hours per math grade, on average.

The model predicts an increase of 2.56 study hours, on average.

The standard deviation of residuals (s) is...

the typical distance of all residuals from the line of regression.

the distance of all residuals from the line of regression

Which is not true about the correlation number (r)?

When changing one of the variable's units of measure from feet to inches the correlation will increase or decrease

There are never units of measure attached to the correlation number

When switching the two variables from the x-axis and y-axis the correlation will not change.

When changing one or two of the variable's units of measure the correlation number will not change

the difference between the observed response and the values predicted by the model

possible models not explored by the researcher

variation in the response variable that is explained by the model

data collected from individuals that is not consistent with the rest of the group

If the point with the red x is removed from the scatterplot, what will happen to the slope of the LSRL and the correlation coefficient?

slope is unchanged, r increases

Does the residual plot support the appropriateness of a linear model?

Yes because the residual plot has no apparent pattern

Yes because half the residuals are positive and half are negative

No because points appear to be randomly distributed

No because some points are close to the line when others are not

Yes, because as age increases, the residuals increase

the coefficient of determination

The percentage that the regression line improves your prediction.

Stats Unit 2 Review

Authored by Sean Fitzgerlad

Mathematics

9th - 12th Grade

CCSS covered

Used 9+ times

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37 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Estimate the correlation coefficient for this scatterplot.

A) r = 1.2

B) r = 0.89

C)r = 0

D) r = -0.89

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Estimate the correlation coefficient for this scatterplot.

A) r = -0.9

B) r = 1

C) r = 0.9

D) r = -1

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

As the age of the car increases, its value decreases. Which scatterplot represents this relationship?

Tags

CCSS.8.EE.B.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A linear model was constructed for a set of bivariate data using least squares regression techniques. Given the residual plot shown, what conclusion should be drawn?

A linear model was not a good fit for the data.

A linear model was a good fit for the data.

The correlation between the original variables is close to 1.

The data was drawn from a population that was not normally distributed.

The study was poorly designed.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Suppose a straight line is fit to data having response variable y and explanatory variable x. Predicting values of y for values of x outside the range of the observed data is called...

extrapolation

causation

correlation

interpolation

MULTIPLE CHOICE QUESTION

1 min • 1 pt

In a scatterplot r² is called

Coefficient of Determination

Correlation Coefficient

Regression Line

Slope

Tags

CCSS.HSS.ID.C.8

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Above is a scatter plot (with the least squares regression line) for calories and protein (in grams) in one cup of 11 varieties of dried beans. The computer output for this regression is below the plot. Which of the following best describes what the number S = 3.37648 represents?

The slope of the regression line is 3.37648.

The standard deviation of the explanatory variable, calories, is 3.37648.

The standard deviation of the response variable, protein content, is 3.37648.

The typical distance of the residuals is 3.37648.

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Stats Unit 2 Review

Estimate the correlation coefficient for this scatterplot.

Estimate the correlation coefficient for this scatterplot.

As the age of the car increases, its value decreases. Which scatterplot represents this relationship?

A linear model was constructed for a set of bivariate data using least squares regression techniques. Given the residual plot shown, what conclusion should be drawn?

Suppose a straight line is fit to data having response variable y and explanatory variable x. Predicting values of y for values of x outside the range of the observed data is called...

In a scatterplot r² is called

Above is a scatter plot (with the least squares regression line) for calories and protein (in grams) in one cup of 11 varieties of dried beans. The computer output for this regression is below the plot. Which of the following best describes what the number S = 3.37648 represents?

Which is TRUE?
I. Random scatter in the residuals indicates a linear model.
II. If two variables are very strongly associated, then the correlation between them will be near 1 or -1.
III. Changing the units of measurement for x or y changes the correlation coefficient.

A researcher wishes to determine whether the rate of water flow (in liters per second) over an experimental soil bed can be used to predict the amount of soil washed away (in kilograms).
In this study, the explanatory variable is...

A study is conducted to determine if one can predict the yield of a crop based on the amount of fertilizer applied to the soil.
The response variable in this study is...

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Stats Unit 2 Review

Estimate the correlation coefficient for this scatterplot.

Estimate the correlation coefficient for this scatterplot.

As the age of the car increases, its value decreases. Which scatterplot represents this relationship?

A linear model was constructed for a set of bivariate data using least squares regression techniques. Given the residual plot shown, what conclusion should be drawn?

Suppose a straight line is fit to data having response variable y and explanatory variable x. Predicting values of y for values of x outside the range of the observed data is called...

In a scatterplot r2 is called

Above is a scatter plot (with the least squares regression line) for calories and protein (in grams) in one cup of 11 varieties of dried beans. The computer output for this regression is below the plot. Which of the following best describes what the number S = 3.37648 represents?

Which is TRUE?I. Random scatter in the residuals indicates a linear model.II. If two variables are very strongly associated, then the correlation between them will be near 1 or -1.III. Changing the units of measurement for x or y changes the correlation coefficient.

A researcher wishes to determine whether the rate of water flow (in liters per second) over an experimental soil bed can be used to predict the amount of soil washed away (in kilograms). In this study, the explanatory variable is...

A study is conducted to determine if one can predict the yield of a crop based on the amount of fertilizer applied to the soil. The response variable in this study is...

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

In a scatterplot r² is called

Which is TRUE?
I. Random scatter in the residuals indicates a linear model.
II. If two variables are very strongly associated, then the correlation between them will be near 1 or -1.
III. Changing the units of measurement for x or y changes the correlation coefficient.

A researcher wishes to determine whether the rate of water flow (in liters per second) over an experimental soil bed can be used to predict the amount of soil washed away (in kilograms).
In this study, the explanatory variable is...

A study is conducted to determine if one can predict the yield of a crop based on the amount of fertilizer applied to the soil.
The response variable in this study is...