Match each assumption on the left with the corresponding plot used to check it. Normally Distributed Residuals Linear Relationship between X and Y variables Constant variability of residuals Mean of the residuals is zero Q-Q Plot Studentized Residual Plot Profile Plot of Means Histogram Boxplot
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- Before conducting inference for regression slope we need to check several assumptions be looking tat the residuals. Which of these is important?I. The residual plot should not have observable patterns.II. The residuals should have a fairly consistent vertical spread.III. The distribution of residuals should be approximately normal.Create a residual plot and comment on the appropriateness of the model.find the (a) explained variation, (b) unexplained variation, and (c) indicated prediction interval. In each case, there is sujficient evidence to support a claim of a linear correlation, so it is reasonable to use the regression equation when making predictions. Altitude and Temperature Listed below are altitudes (thousands of feet) and outside air temperatures (°F) recorded by the author during Delta Flight 1053 from New Orleans to Atlanta. For the prediction interval, use a 95% confidence level with the altitude of 6327 ft (or 6.327 thousand feet).
- a residual is the distance between the data value in the line of best fit true or false?Old Faithful is a geyser located in Yellowstone National Park, WY. It may not be surprising that there is a correlation between the amount of time you have to weight between eruptions and the eruption length. You can witness eruptions that last up to 5 minutes but you may have to wait up to 90 minutes for them to occur whereas 2 minute eruptions tend to have about an hour wait-time. The following is a scatter-plot of 272 Old Faithful eruptions the x-variable is eruption length and the y-variable is waiting time. The equation for the best fit line is also listed on the graph. Does the eruption with the shortest eruption length also have the shortest waittime? Is the correlation between eruption length and waiting time positive or negative? Guess the correlation coefficient. Using the the equation for the best fit line, predict the waiting time for an eruption that lasts 3.4 minutes. Using this data would you feel comfortable making a prediction for the wait time of an eruption that…describe the distribution of the data points in the x-y coordinate system. and create a line equation that can represent it. Also calculate the correlation coefficient
- The regression equation is Health Index= y + a Age + ß Blood sugar + 8 Blood Pressure SE 20986 339.28 Age Blood sugar 209.2 Blood pressure 207.2 S = 962.233 R-Sq = 86.6% R-Sq (adj) = 76.5% Coef Constant Analysis of Variance Source DF Regression 3 Residual Error. 4 Total 7 SS Coef 2912 71.95 179.3 225.4 23863180 3703570 27566750 T 7.21 4.72 * 0.92 MS 7954393 925892 F *** P 0.002 0.009 0.308 ** P 0.032 a) What is dependent and independent variables? b) Fully write out the regression equation. c) Fill in the missing values **, ****, and *****. d) Hence test whether & is significant. Give reasons for your answer. e) Perform the F Test making sure to state the null and alternative hypothesis.Which of the variables is the indepenent variable and dependent variable for the following question. fit a simple linear regression model to predict latitudes using average monthly range lat= latitudes range= the average monthly range between mean montly maximum and minimum temperatures for a selected set of US cities.The equation that represents the average least squared error and the regression line on the scatterplot is called a: regression equation multiple regression line partial correlation equation slope and intercept line