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L3-5 and 3-6 Review

Last updated about 2 years ago
20 questions
1

What type of association is shown by the data in the scatter plot?

1

What type of association is shown by the data in the scatter plot?

1

What type of association is shown by the data in the scatter plot?

1

What type of association is shown by the data in the scatter plot?

1

What type of association is shown by the data in the scatter plot?

1

Select all and only the statements that are true of positive associations.

1

Match each definition with the appropriate vocabulary term.

Draggable itemCorresponding Item
As the x value increases, the y value tends to decrease.
positive association
As the x value increases, the y value tends to increase.
negative association
Using a trend line to predict (or "theorize") the y-value for an x-value outside the bounds of the actual data.
extrapolation
a value r, ranging from -1 to 1, which provides a measure of the direction and strength of a correlation.
interpolation
Using a trend line to predict (or "theorize") the y-value for an x-value that is between the x-values of two actual data points.
correlation coefficient
1

Which equation best models the data shown in the following scatter plot?

1

What type of correlation is demonstrated by the data in the table below?

1

Which of the following trend lines best fits the underlying scatter plot data?

1

When Hana goes to the mall, she always buys the same lunch and also buys some books. The total amount of money she spends, y, is a function of the number of books she buys, x. Which of the following statements are true about this function?

1

Hana models her spending in the scenario above with the function f(x)=5.5x+11.

A) Use her equation to predict how much she will spend if she buys 8 books.
B) If Hana's original data include purchases of anywhere from 1 to 4 books, is your answer to (A) an example of "extrapolation" or "interpolation"?

1

If a linear regression reveals an r value of -0.62376, what can be said about the correlation?

1

Given the following results from a linear regression on a data set, provide the equation of the line of best fit for the data. Round all constants and coefficients to the nearest tenth.

1

Choose the best explanation for the model described by the residual plot.

1

Emmy measures the temperature of some hot water left out in the open at various times while the water cools. She then uses a trend line to theorize what the water's temperature was at the moment between two of her measurements. This is an example of:

1

Ricardo calculates a line of best fit for a data set with integer x-values 1 through 6. Using a line of best fit with the equation y = –3x + 21 to predict the value of y when x = 10 is an example of:

1

Below is sample data relating the hour at which Mr. Schneider wakes up with the amount of coffee (in fl oz) he drinks throughout the day. Is there a correlation if you model his data with a linear equation? Is there a causal relationship?

1

When a scientist is concerned with the strength of a correlation but not the direction, she may refer to the "r squared" value, r^{2}, which is simply the square of the correlation coefficient, r. Does this make sense? How helpful or harmful is it? Explain your reasoning.

1

Vocabulary Bonanza! Match each noun phrase with its correct counterpart.

Draggable itemCorresponding Item
range
a pair of values associated with a single unit of observation
The graph of a linear equation
a visual representation of the solution set of the equation
correlation coefficient
An ordered pair of values (x, y) such that those values make the linear equation a true statement.
domain
The linear equation which results from a regression (e.g., one that minimizes the sum of the squared residuals)
A point on a line
a number -1\leq r\leq 1 that measures the strength and direction of a correlation
translation
a transformation of a function in which every point moves the same distance in the same direction
A point on a scatter plot
the set of all possible inputs of a function
A line of best fit
the set of all outputs of a function