3/4 - All Regression Review

​Remove Your
Hoodie

Put up ALL
headphones/ earbuds

Prepare to Relinquish your cellphone until the end of class.

Match

Match the following functions to their represented regression equation.

• Linear Function

• Quadratic Function

• Exponential Function

• $$y=mx+b$$

• $$y=ax^2+bx+c$$

• $$y=ab^x$$

LO: SWBAT use technology to determine a function
model using the linear regression, exponential regression, or quadratic regression and use
regression equations to make predictions.

DOL: Given 5 problems, students will correctly use
technology to determine a function model using the linear regression, exponential regression, or quadratic regression and use regression equations to make predictions in at least 4 of 5 questions.

7

ALGI.9E - Write, using technology, exponential functions that provide a reasonable fit to data and make predictions for real-world problems.

Today you will write the
exponential function that
best fits a table of values.

10

Find the Best Fit

Linear Function

Quadratic Function

Exponential Function

​

​On your whiteboard, you have 1 minute to analyze the reference sheet with your partner and write down which regression format is missing.

Multiple Choice

What is a line of best fit or curve of best fit used for?

• To make predictions
• To make the graph look pretty
• To connect the points
• To make it look like you know what you are doing

Match

Match the correct type of function that appears to best fit the data for each graph shown.

Exponential

Linear

Quadratic

• Exponential

• Linear

• Quadratic

​Write the linear regression equation for the following data points. Round to the nearest hundredth.

​If you had the following question, which equation would you use?







On your whiteboard, you have 1 minute to write down the regression equation you would enter in Desmos that would best represent the data.

Multiple Choice

Write the linear regression equation for the following data points. Round to the nearest hundredth.

• $$y=-0.83x+0.61$$

• $$y=-0.83x+0.63$$

• $$y=0.83x+-0.8$$

• $$a^2+b^2=c^2$$

​Find the quadratic equation for the relationship of the horizontal distance and the height of the ball.

​If you had the following question, which equation would you use?










On your whiteboard, you have 1 minute to write down the regression equation you would enter in Desmos that would best represent the data.

Multiple Choice

Find the quadratic equation for the relationship of the horizontal distance and the height of the ball.

• -18x² + 2.11x + 4.21

• -.06x² +1.06x + 7.9

• -6x² +1.06x + 79

• -.12x² + 2.11x + 4.22

Calculate the quadratic regression function for this table of values to the nearest tenth.

​If you had the following question, which equation would you use?









On your whiteboard, you have 1 minute to write down the regression equation you would enter in Desmos that would best represent the data.

Multiple Choice

Calculate the quadratic regression function for this table of values to the nearest tenth.

• f(x) =
   2x² - 9x + 10
• f(x)=
   3x² + 9x - 10
• f(x) =
   3.1x² - 9.2x - 10.3
• f(x) =
  2.1x² - 8.6x + 10.1

The table shows the net revenue in millions of dollars of a company every three months for two years. An exponential function can be used to model the data.

​If you had the following question, which equation would you use?







On your whiteboard, you have 1 minute to write down the regression equation you would enter in Desmos that would best represent the data.

Multiple Choice

Which function best models the data?

• $$r\left(x\right)=223.06\left(1.09\right)^x$$

• $$r\left(x\right)=1.09\left(223.06\right)^x$$

• $$r\left(x\right)=2232.91\left(0.92\right)^x$$

• $$r\left(x\right)=0.92\left(2232.91\right)^x$$

You are only required to pass the Algbera 1 STAAR test with 21 correct points.


WE are aiming for
36 or more correct.



Last year there were 3 regression questions.

We are about to look at the practice test so that you get better familiar with where everything is.

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​You have 3 minute to answer question 18 with your partner.

​You have 3 minute to answer question 44 with your partner.

Math Response

Use the given points to find the equation of the curve of best fit (regression equation).

Enter your answer as $$y=ax^2+bx+c$$

Type answer here

Correct Answer: y=ax^2+x+1

Deg^°

Rad

Open Ended

How can the STAAR Reference Sheet be used to help with information that is not evident?

Use complete sentences: I can use the STAAR Reference sheet...