Stats Review on Scatterplots Correlation and Linear Modeling

If the LSRL has a positive slope, then the correlation between x and y is also positive.

• true

• false

Tags

CCSS.HSS.ID.B.6B

If r = -0.817 that means there is a very strong and negative linear association between x and y

• true

• false

Tags

CCSS.HSS.ID.B.5

if our model is y = -134 + 4.15x what is the slope and what is the y-intercept?

• slope = -134 y-intercept = 4.15

• y-intercept = 3.14 slope = 4.15

• slope = 172.3 y-intercept = 1.82

• y-intercept = -134 slope = 4.15

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

If a model has the equation y = 2 + 3x and an actual value was (5, 10) the residual associated with that value would be

• 7

• -7

• 22

• -22

Tags

CCSS.8.EE.C.8C

If a model has the equation y = 45 + 8x that tells us the data is displaying

• positive correlation

• negative correlation

• none or very weak correlation

Tags

CCSS.HSF.LE.B.5

If a model has the equation y = -23 + 6x and an actual value of (4, 9) the residual associated with that value would be

• 5

• 1

• 10

• 8

Tags

CCSS.8.EE.C.8C

When attempting to assess the fit of a linear model, we want the coefficient of determination to be _________ and we want the standard or typical error to be _________.

• small; small

• small; large

• large; small

• large; large

Tags

CCSS.HSS.ID.B.6B

We are attempting to predict home prices (y) by using pollution levels (x) and our model says y = 325,000 - 1245x

Make a prediction for a house that is in an area with a pollution level of 10

• $312,550

• $325,000

• $337,450

• $200,500

Tags

CCSS.8.EE.C.8C

We are attempting to predict home prices (y) by using pollution levels (x) and our model says y = 325,000 - 1245x

If the coefficient of determination is = 21.86% that tells us

• 21.86% of the variation in home prices is due to pollution levels

• 79.14% of the variation in home prices is due to pollution levels

• 21.86% is a very large percentage so we should place a lot of faith in the predicted values

• 21.86% of the variation in pollution levels is due to home prices

Tags

CCSS.HSS.ID.B.6B

We are attempting to predict home prices (y) by using pollution levels (x) and our model says y = 325,000 - 1245x

A Standard Error of 72.1 tells us...

• This is a very small number so we should place a faith in this model

• the typical prediction made by this model will be off 72 dollars

• 72% of homes have pollution problems