Patterns, Relationships, and Correlation

The first five terms of a pattern are shown.

9, 27, 81, 243, 729

The equation S_n = a(b)ⁿ can be used to calculate the value, S_n, of any term, n, in the pattern.

What are the values of a and b in the equation?

• a = 9,  b = 9

• a = 1,  b = 3

• a = 3,  b = 3

• a = 3,  b = 9

Tags

A.FGR.9

Calculate the line of best fit, f(t), that estimates the day's coffee sales with a high  temperature of t. Round all values to the nearest integer.

(a)  

Tags

A.DSR.10.5

A.DSR.10.6

State the correlation coefficient, r, of the data to the nearest hundredth.

(a)  

Tags

A.DSR.10.5

A.DSR.10.6

Does r indicate a strong linear relationship between the variables?

• This indicates a strong negative linear relationship because r is close to -1.

• This indicates a moderate negative linear relationship because r is close to -1.

• This indicates there is no linear relationship because r is close to -1.

• This indicates a weak negative linear relationship because r is close to -1.

Tags

A.DSR.10.5

A.DSR.10.6

The numbers of customers that visit a store certain numbers of hours after the store opened at 8 A.M. are shown in the table.

Which statement BEST describes the data?

• The data can be modeled by a linear function.

• The data can be modeled by a constant function.

• The data can be modeled by a quadratic function.

• The data can be modeled by a exponential function.

Tags

A.DSR.10

The four scatterplots show correlations in four sets of data, where the correlation coefficients are r₁, r₂, r₃, and r₄.

Reorder the following from weakest to strongest.

• r₄

• r₁

• r₃

• r₂

Tags

A.DSR.10

List the functions in order from smallest to biggest when x = -1:

• a(x)

• c(x)

• b(x)

• Stretched vertically, shifted left 5 units, and shifted down 3 units

• Stretched vertically, shifted right 5 units, and shifted up 3 units

• Compressed vertically, shifted left 5 units, and shifted up 3 units

• Compressed vertically, shifted right 5 units, and shifted down 3 units

Tags

A.FGR.7.2

Noah conducted a survey on sports participation. He created the following two  dot plots to represent the number of students participating, by age, in soccer and basketball.

Which statement about the given data sets is correct?

• The data for soccer players are skewed right.

• The data for soccer players have less spread than the data for basketball players.

• The data for basketball players have the same median as the data for soccer players.

• The data for basketball players have a greater mean than the data for soccer players.

Tags

A.DSR.10.1

Kendra and Theo each collected data on the number of birds they observed at a bird feeder each hour for eight hours. the data Kendra collected are summarized as shown.

• The range of Kendra's data is 6.

  • The median of Kendra's data is 7.

  • The mean of Kendra's data is 7.

The data Theo collected has the same range and the same median as the data Kendra collected, but the mean of Theo's data is 7.5  The line plot correctly shows six of the eight data points for Theo's data set.  

 

Plot the remaining two data points on the line plot.