Residual Values - Definition & Examples
Read this topicExplanations 3
- What are residuals? A residual is the difference between the actual value of a data point and the predicted value suggested by a regression line or trend line. Trend lines are a…
By Hannah Bonville, Alex Federspiel, Jonathan Heller, Anusha Rahman
- Residual Values A residual is a measurement to determine how well a scatter plot's data fits its trend line. To find a point's residual, we subtract the predicted yyy-value from…
By Alex Federspiel, Anusha Rahman
- (Video) Residual Values by Anusha Rahman This lesson by Anusha Rahman goes over how to find a residual value when given a point on a scatter plot and a line of best fit. Summary…
By Anusha Rahman
Problems 21
- A scatter plot is modeled by the equation y=3.5x+2y=3.5x+2y=3.5x+2. If the actual yyy value is 17.5 and the residual is 1.5, what is the xxx value used to make the prediction?
- A scatter plot is modeled by the equation y=−2x+3y=-2x+3y=−2x+3. If the actual yyy value is -5 and the residual is -2, what is the xxx value used in the prediction?
- A scatter plot is modeled by the line y=−2x+9.5y=-2x+9.5y=−2x+9.5. If the actual yyy value is 2 and the residual is 0.5, what xxx value was used to predict the yyy value?
- A scatter plot is modeled by the relation y=3.25x+3y=3.25x+3y=3.25x+3. At x=4x=4x=4, the real yyy-value is 15. What is the residual?
- A scatter plot is modeled by the equation y=x2+10y=x^2+10y=x2+10. If at x=2x=2x=2, the real yyy-value is 15, what is the residual?
- The scatter plot with a line of best fit is modeled above. What is the residual for the point at x=5x=5x=5?
- The scatter plot with a line of best fit is modeled above. What is the residual at x=6x=6x=6?
- A residual is the 00000‾\underline{\phantom{00000}}00000 between the actual value of a data point and the predicted value suggested by a 00000‾\underline{\phantom{00000}}00000.
- The table above represents points on a trend line for the relationship between temperature and ice cream sales. If, when the temperature was 80 degrees, the actual sales were 18…
- The residual is positive‾\underline{\phantom{positive}}positive if the actual point is above the graphed line, and negative‾\underline{\phantom{negative}}negative if the actua…
- The residual will always be 000‾\underline{\phantom{000}}000 when the trend line passes through the actual point.
- If the orange dot is the actual value, which dot is the predicted value?
- Consider the following graph, which color represents the actual point if the black point is the predicted value?
- Fill in the blanks for the following statement: "Residual value === (Actual 000‾\underline{\phantom{000}}000 value) −-− (predicted 000‾\underline{\phantom{000}}000 value)."
- A residual may also be referred to as a(n)
- Plot the following values on a scatter plot and find the sum of the residuals of each point with respect to the function y=14x+1y=\frac{1}{4}x+1y=41x+1.
- Consider the graph above, what type of value must the sum of the residuals be?
- Consider the graph above, what type of value must the sum of the residuals be?
- Do the residuals from the points above indicate the model is a good fit for the data?
- Do the residuals from the points above indicate the model is a good fit for the data?
- Because you don't want the disguise to be too difficult but you want it to be effective, you want to go with the one that has the largest residual. Which disguise should you pick?