L3-5 and 3-6 Review

By Sam Schneider
Last updated about 1 year ago
20 Questions

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

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

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

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

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

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

Match each definition with the appropriate vocabulary term.

positive association
negative association
extrapolation
interpolation
correlation coefficient

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

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

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

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?

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"?

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

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.

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

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:

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:

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?

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.


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

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