Unit 3 Interpreting

The number of absences and the final grades were collected from 9 randomly selected students from a statistics class. A linear model for this relationship is 

ŷ = -3x + 96.14

What is the slope? Enter a numerical value only.

The number of absences and the final grades were collected from 9 randomly selected students from a statistics class. A linear model for this relationship is 

ŷ = -3x + 96.14

What is the y-intercept? Enter a numerical value only.

A linear model is used to show the negative relationship between the age (in years) of a certain car and its value. The slope is estimated to be -425.98 Interpret the slope in context.

The model predicts that the ​ ​ (a)   ​ (b)   ​ (c)   ​ for every​ (d)   ​ increase in ​ (e)  

• car's value
• decreases
• 425.98 dollars
• one year
• age
• increase
• -425.98 dollars

Match the following

• y-intercept

• Tells the value of the response variable when the explanatory variable is zero. May not make sense in context.

• r

  (Correlation Coefficient)

• Tells how accurate the response variable can be predicted by the explanatory variable

• Slope

• Indicates the rate at which the y-variable (response) is changing.

• r^2

  (Coefficient of Determination)

• Tells the form, direction, and strength of a correlation.

Drag the words around to finish the statement.

A linear model is used to show the negative relationship between the age (in years) of a certain car and its value. The y-intercept is found to be $8,750. Interpret the y-intercept in context.

The model indicates that ​ (a)   ​ (b)   when ​ (c)   ​ (d)   ​.

• the price of a car is
• $8,750
• it is
• brand new

Drag the correct words into the blanks to interpret the r-value in context. Not all objects will be used.

The relationship between rain (inches) and plant height (inches) has an r-value of 0.34. Interpret the r-value in context.

There is a ​ (a)   ​ (b)   ​ (c)   relationship between ​ (d)   and​ (e)  

• weak
• positive
• linear
• inches of rain
• plant height
• strong
• netagive
• nonlinear
• yield
• rainfall

The number of absences and the final grades were collected from 9 randomly selected students from a statistics class. A linear model for this relationship is 

ŷ = -3x + 96.14 r = 0.71 r^2 = 50%

Find the final grade of a student who was absent for 0 days. Enter a numerical answer only round to the nearest tenth.

The number of absences and the final grades were collected from 9 randomly selected students from a statistics class. A linear model for this relationship is 

ŷ = -3x + 96.14 r = 0.71 r^2 = 50%

The final grade for a student who missed 0 days is 96.1%. Does this prediction make sense in the context of the problem?

• Yes

• No

The number of absences and the final grades were collected from 9 randomly selected students from a statistics class. A linear model for this relationship is 

ŷ = -3x + 96.14 r = 0.71 r^2 = 50%

Find the final grade of a student who was absent for 5 days. Enter a numerical answer only round to the nearest tenth.

The number of absences and the final grades were collected from 9 randomly selected students from a statistics class. A linear model for this relationship is 

ŷ = -3x + 96.14 r = 0.71 r^2 = 50%

The final grade for a student who missed 5 days is 81.1%. Does this prediction make sense in the context of the problem?

• Yes

• No