M1T2 Lesson 1 Skills Practice: Least Square Regressions

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M1T2 Lesson 1 Skills Practice: Least Square Regressions

Posljednje ažuriranje about 1 month ago

20

https://www.desmos.com/testing/texas/graphing

LInk to Desmos graphing calculator

1

r = 0.097

r = -0.57

r = 0.83

r = 1

1

r = 0.9

r = -0.6

r = 0.02

r = -0.006

1

r = 0.01

r = 0.8

r = -0.5

r = 0.08

1

r = -0.009

r = 0.8

r = -0.9

r = 0.2

1

r = -0.003

r = -0.6

r = 0.004

r = 0.7

1

r = 0.01

r = -0.8

r = -0.01

r = 0.9

1

For the given situation, decide whether there is association, causation, or neither. List reasons why or why not.

Since 2005, the average salary of an NBA basketball player has increased every year. The average height of an NBA player has also increased yearly since 2005.

Type association, causation, both, or neither:

Why? (Make sure to answer in complete sentences!

1

For the given situation, decide whether there is association, causation, or neither. List reasons why or why not.

Scientists have found that the number of people wearing sunscreen has increased. The number of people getting severe sunburns has decreased.

Type association, causation, both, or neither:

Why? (Make sure to answer in complete sentences!

1

For the given situation, decide whether there is association, causation, or neither. List reasons why or why not.

The number of smartphones in the United States has increased yearly since 2005. The number of paper calendars sold yearly has decreased during the same period.

Type association, causation, both, or neither:

Why? (Make sure to answer in complete sentences!

1

For the given situation, decide whether there is association, causation, or neither. List reasons why or why not.

The number of shark attacks on a certain beach increases on days when more ice cream is purchased.

Type association, causation, both, or neither:

Why? (Make sure to answer in complete sentences!

1

The number of students in a school chorus has increased since the school first opened 6 years ago. the table to values represents the change of students in the school chorus, where x represents the year and y represents the number of students.

null

Determine the linear regression function based on the given table of values. Round the values for slope and y-intercept to the nearest tenth.

y =

Use your linear regression function to predict the total number of students in the choir in each given year.

Show work for full credit. Round all answers to the nearest whole number.

The year the school opened.

Year 2

Year 6

Year 8

Determine which r-value is the most accurate for each scatterplot.

r = 0.097

r = -0.57

r = 0.83

r = 1

Determine which r-value is the most accurate for each scatterplot.

r = 0.9

r = -0.6

r = 0.02

r = -0.006

Determine which r-value is the most accurate for each scatterplot.

r = 0.01

r = 0.8

r = -0.5

r = 0.08

Determine which r-value is the most accurate for each scatterplot.

r = -0.009

r = 0.8

r = -0.9

r = 0.2

Determine which r-value is the most accurate for each scatterplot.

r = -0.003

r = -0.6

r = 0.004

r = 0.7

Determine which r-value is the most accurate for each scatterplot.

r = 0.01

r = -0.8

r = -0.01

r = 0.9

Fill in the following information for the data given.

null

correlation coefficient:

(round to the nearest ten-thousandth)

Strength of correlation:

(enter either strong or weak)

Direction:

(enter positive or negative)

Fill in the following information for the data given.

null

correlation coefficient:

(round to the nearest ten-thousandth)

Strength of correlation:

(enter either strong or weak)

Direction:

(enter positive or negative)

Fill in the following information for the data given.

null

correlation coefficient:

(round to the nearest ten-thousandth)

Strength of correlation:

(enter either strong or weak)

Direction:

(enter positive or negative)

Fill in the following information for the data given.

null

correlation coefficient:

(round to the nearest ten-thousandth)

Strength of correlation:

(enter either strong or weak)

Direction:

(enter positive or negative)

Fill in the following information for the data given.

null

correlation coefficient:

(round to the nearest ten-thousandth)

Strength of correlation:

(enter either strong or weak)

Direction:

(enter positive or negative)

Fill in the following information for the data given.

null

correlation coefficient:

(round to the nearest ten-thousandth)

Strength of correlation:

(enter either strong or weak)

Direction:

(enter positive or negative)

For the given situation, decide whether there is association, causation, or neither. List reasons why or why not.

Since 2005, the average salary of an NBA basketball player has increased every year. The average height of an NBA player has also increased yearly since 2005.

Type association, causation, both, or neither:

Why? (Make sure to answer in complete sentences!

For the given situation, decide whether there is association, causation, or neither. List reasons why or why not.

Scientists have found that the number of people wearing sunscreen has increased. The number of people getting severe sunburns has decreased.

Type association, causation, both, or neither:

Why? (Make sure to answer in complete sentences!

For the given situation, decide whether there is association, causation, or neither. List reasons why or why not.

The number of smartphones in the United States has increased yearly since 2005. The number of paper calendars sold yearly has decreased during the same period.

Type association, causation, both, or neither:

Why? (Make sure to answer in complete sentences!

For the given situation, decide whether there is association, causation, or neither. List reasons why or why not.

The number of shark attacks on a certain beach increases on days when more ice cream is purchased.

Type association, causation, both, or neither:

Why? (Make sure to answer in complete sentences!

Determine the slope, x-intercept, and y-intercept of the graph.

null

slope:

x-intercept:

y-intercept:

A maintenance worker in a factory notices that a water tank is leaking. She records the amount of water in the tank each day in a table.

null

Write a recursive formula to represent the pattern shown in the table.

$a_{n}=$

How much water is left on the 5th day?

How much water is left on the 10th day?

The graph represents a linear relationship between x and y.

null

Describe whether the graph is increasing or decreasing.

Determine the x-intercept:

Determine the y-intercept:

The number of students in a school chorus has increased since the school first opened 6 years ago. the table to values represents the change of students in the school chorus, where x represents the year and y represents the number of students.

null

Determine the linear regression function based on the given table of values. Round the values for slope and y-intercept to the nearest tenth.

y =

Use your linear regression function to predict the total number of students in the choir in each given year.

Show work for full credit. Round all answers to the nearest whole number.

The year the school opened.

Year 2

Year 6

Year 8

Determine which r-value is the most accurate for each scatterplot.

null

Determine which r-value is the most accurate for each scatterplot.

null

Determine which r-value is the most accurate for each scatterplot.

null

Determine which r-value is the most accurate for each scatterplot.

null

Determine which r-value is the most accurate for each scatterplot.

null

Determine which r-value is the most accurate for each scatterplot.

null

Fill in the following information for the data given.

null

correlation coefficient:

(round to the nearest ten-thousandth)

Strength of correlation:

(enter either strong or weak)

Direction:

(enter positive or negative)

Fill in the following information for the data given.

null

correlation coefficient:

(round to the nearest ten-thousandth)

Strength of correlation:

(enter either strong or weak)

Direction:

(enter positive or negative)

Fill in the following information for the data given.

null

correlation coefficient:

(round to the nearest ten-thousandth)

Strength of correlation:

(enter either strong or weak)

Direction:

(enter positive or negative)

Fill in the following information for the data given.

null

correlation coefficient:

(round to the nearest ten-thousandth)

Strength of correlation:

(enter either strong or weak)

Direction:

(enter positive or negative)

Fill in the following information for the data given.

null

correlation coefficient:

(round to the nearest ten-thousandth)

Strength of correlation:

(enter either strong or weak)

Direction:

(enter positive or negative)

Fill in the following information for the data given.

null

correlation coefficient:

(round to the nearest ten-thousandth)

Strength of correlation:

(enter either strong or weak)

Direction:

(enter positive or negative)

Determine the slope, x-intercept, and y-intercept of the graph.

null

slope:

x-intercept:

y-intercept:

A maintenance worker in a factory notices that a water tank is leaking. She records the amount of water in the tank each day in a table.

null

Write a recursive formula to represent the pattern shown in the table.

$a_{n}=$

How much water is left on the 5th day?

How much water is left on the 10th day?

The graph represents a linear relationship between x and y.

null

Describe whether the graph is increasing or decreasing.

Determine the x-intercept:

Determine the y-intercept: