Model to Data

Given the scatterplot, what type of model shown best fits it?

• Exponential Regression

• Quadratic Regression

• Linear Regression

• Data can not be represented by a model

What is the direction of the correlation pattern?

• Positive Correlation 0 < r < 1

• Negative Correlation -1 < r < 0

• Horizontal Correlation 0

• No pattern

What is the linear regression model for this data?

• 2x + 3

• x + 7

• 3x + 1

• 4x +2

Tags

CCSS.8.EE.B.5

What is the regression model for this data?

• 4^x+1

• 1(3^x)

• 2^x+2

• 4^x-3

Tags

CCSS.HSF.LE.A.2

GIven many data points, advantages of doing a calculator based equation model versus a manual calculated one are:

• The calculator solution uses all data points

• The calculator solution can show you the difference between each actual data and equation model point, called the residual

• The calculator solution provides the exact equation model.

• All of the above

Is a quadratic equation a good fit for this data? Why not?

• Yes, the residual plot shows a perfect match.

• Yes, the best fit equation exactly fits the data.

• Yes, Coefficient of Determination says model matches the data.

• No a quadratic regression is not the best fit. The coefficient of   $x^2$   is zero.  It is a line equation with best fit  $r^2$  of 1.

Using linear regression, what is the equation for this data.

• 9 x + 5

• 1x + 5

• 5x + 4

• 4x + 5

Tags

CCSS.8.EE.B.5

See data, use regression to find the quadratic equation f(x)

• f(x) = x³+ 3

• f(x) = x²+ 3x + 5

• f(x)= 2x²+5x+3

• f(x) = 2x²

What exponential equation f(x) fits this data?

• f(x) = 3^x+ 6

• f(x) = 3(2^x) + 3

• f(x) = 2(3^x) + 4

• f(x) = 2(3x)

Tags

CCSS.HSF.LE.A.2

As x increases, if y decreases is that a positive correlation?

• Yes, if the variables relate in any way that is positive.

• No, a positive correlation would mean y does not change..

• No, a positive correlation means y would also increase.

• Maybe, it can't be determined without at least 10 data points.