slide1
Download
Skip this Video
Download Presentation
Find the correlation coefficient & interpret it. Find & interpret the slope.

Loading in 2 Seconds...

play fullscreen
1 / 14

Find the correlation coefficient & interpret it. Find & interpret the slope. - PowerPoint PPT Presentation


  • 89 Views
  • Uploaded on

A medical researcher wishes to determine how the dosage (in mg) of a drug affects the heart rate of the patient. Find the correlation coefficient & interpret it. Find & interpret the slope. Find & interpret the y-intercept. Give the least squares regression line.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about ' Find the correlation coefficient & interpret it. Find & interpret the slope.' - wilda


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
slide1
A medical researcher wishes to determine how the dosage (in mg) of a drug affects the heart rate of the patient.
  • Find the correlation coefficient & interpret it.
  • Find & interpret the slope.
  • Find & interpret the y-intercept.
  • Give the least squares regression line.
slide2
A medical researcher wishes to determine how the dosage (in mg) of a drug affects the heart rate of the patient.
  • Find the correlation coefficient & interpret it.
  • Find & interpret the slope.
    • For every additional mg the heart rate decreases by 38.56 bpm.
  • Find & interpret the y-intercept.
  • Write LSRL:
residuals

Residuals

Section 3.2B

residuals1
Residuals
  • Variation in the y values can be effectively explained when the residuals are small – close to the line.
  • Remember a residual = observed – exp.
the equation to explain the relationship between drug dosage and heart rate is shown below
The equation to explain the relationship between drug dosage and heart rate is shown below.

Find the predicted value for a dosage of 0.4 mg.

Find the residual for (0.4, 80).

slide6
The equation to explain the relationship between drug dosage and heart rate is shown below.Find the residuals for each value.

* The sum of the residuals is always zero!

residual plot
Residual Plot
  • It is a scatterplot of the residuals vs the explanatory variable.
  • They help us to assess how well a regression line fits the data.
  • The residual plot should show no obvious pattern
  • The residuals should be relatively small.
slide8

The equation to explain the relationship between drug dosage and heart rate is shown below.Graph the residual Plot. Is the linear model appropriate?

* The sum of the residuals is always zero!

height vs shoe size residual plot
Height vs Shoe size – residual plot

Good residual plot – show relatively no pattern.

standard deviation of the residuals
Standard Deviation of the Residuals
  • It represents the approximate size of a “typical” or “average prediction error (residual).
  • Formula:
slide13
The equation to explain the relationship between drug dosage and heart rate is shown below.Find the standard deviation of the residuals.
homework
Homework

*Page 191 (43, 45, 55, 60, 62)

ad