Given are data for two variables, x and y. xi yi (a) Develop an estimated regression equation for these data. (Round you

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Given are data for twovariables, x and y.
xi
yi
(a)
Develop an estimated regression equation for these data. (Roundyour numerical values to two decimal places.)
ŷ =
(b)
Compute the residuals. (Round your answers to two decimalplaces.)
xi
yi
(c)
Develop a plot of the residuals against the independentvariable x.
A residual plot has 5 points plotted on it. The horizontal axisranges from 0 to 25 and is labeled: x. The verticalaxis ranges from −6 to 6 and is labeled: Residuals. There is ahorizontal line that spans the graph at 0 on the vertical axis. 2points lie above the line and 3 lie below it. The points areplotted from left to right in an upward, diagonal directionstarting from the lower left corner of the plot. The minimumresidual is located at x = 6 and the maximumoccurs at x = 20.
A residual plot has 5 points plotted on it. The horizontal axisranges from 0 to 25 and is labeled: x. The verticalaxis ranges from −6 to 6 and is labeled: Residuals. There is ahorizontal line that spans the graph at 0 on the vertical axis. 2points lie above the line and 3 lie below it. The points areplotted from left to right in a downward, diagonal directionstarting from the upper left corner of the plot. The maximumresidual is located at x = 6 and the minimumoccurs at x = 20.
A residual plot has 5 points plotted on it. The horizontal axisranges from 0 to 25 and is labeled: x. The verticalaxis ranges from −6 to 6 and is labeled: Residuals. There is ahorizontal line that spans the graph at 0 on the vertical axis. 2points lie above the line and 3 lie below it. The points startabove the line at x = 6 in the upper left cornerof the plot, then are plotted from left to right in a downward,diagonal direction until reaching a low below the lineat x = 15. They then continue to be plotted inan upward diagonal direction until reaching a high above the lineat x = 20. The maximum residual is locatedat x = 6.
A residual plot has 5 points plotted on it. The horizontal axisranges from 0 to 25 and is labeled: x. The verticalaxis ranges from −6 to 6 and is labeled: Residuals. There is ahorizontal line that spans the graph at 0 on the vertical axis. 2points lie above the line and 3 lie below it. The points startabove the line at x = 6 in the upper left cornerof the plot, then are plotted from left to right in a downward,diagonal direction until reaching a low below the lineat x = 15. They then continue to be plotted inan upward diagonal direction until reaching a high above the lineat x = 20. The maximum residual is locatedat x = 20.
Do the assumptions about the error terms seem to besatisfied?
The plot suggests a funnel pattern in the residuals indicatingthat the error term assumptions are not satisfied.The plot suggestscurvature in the residuals indicating that the error termassumptions are satisfied. The plot suggestsa generally horizontal band of residual points indicating that theerror term assumptions are satisfied.The plot suggests curvature inthe residuals indicating that the error term assumptions are notsatisfied.The plot suggests a generally horizontal band of residualpoints indicating that the error term assumptions are notsatisfied.
(d)
Compute the standardized residuals. (Round your answers to twodecimal places.)
xi
yi
(e)
Develop a plot of the standardized residualsagainst ŷ.
A standardized residual plot has 5 points plotted on it. Thehorizontal axis ranges from 0 to 30 and is labeled: y hat. Thevertical axis ranges from −3 to 3 and is labeled: StandardizedResiduals. There is a horizontal line that spans the graph at 0 onthe vertical axis. 2 points lie above the line and 3 lie below it.The points are plotted from left to right in an upward, diagonaldirection starting from the lower left corner of the plot. Thepoints are between 2 to 25 on the horizontal axis andbetween −1 to 1.6 on the vertical axis.
A standardized residual plot has 5 points plotted on it. Thehorizontal axis ranges from 0 to 30 and is labeled: y hat. Thevertical axis ranges from −3 to 3 and is labeled: StandardizedResiduals. There is a horizontal line that spans the graph at 0 onthe vertical axis. 3 points lie above the line and 2 lie below it.The points start below the line at about y hat = 3 in the lowerleft corner of the plot, then are plotted from left to right in anupward, diagonal direction until reaching a high above the line atabout y hat = 17. They then continue to be plotted in a downward,diagonal direction until reaching a low below the line at about yhat = 25.
A standardized residual plot has 5 points plotted on it. Thehorizontal axis ranges from 0 to 30 and is labeled: y hat. Thevertical axis ranges from −3 to 3 and is labeled: StandardizedResiduals. There is a horizontal line that spans the graph at 0 onthe vertical axis. 2 points lie above the line and 3 lie below it.The points are plotted from left to right in a downward, diagonaldirection starting from the upper left corner of the plot. Thepoints are between 2 to 25 on the horizontal axis andbetween −1 to 1.6 on the vertical axis.
A standardized residual plot has 5 points plotted on it. Thehorizontal axis ranges from 0 to 30 and is labeled: y hat. Thevertical axis ranges from −3 to 3 and is labeled: StandardizedResiduals. There is a horizontal line that spans the graph at 0 onthe vertical axis. 2 points lie above the line and 3 lie below it.The points start above the line at about y hat = 3 in the upperleft corner of the plot, then are plotted from left to right in adownward, diagonal direction until reaching a low below the line atabout y hat = 17. They then continue to be plotted in an upwarddiagonal direction until reaching a high above the line at about yhat = 25.
What conclusions can you draw from this plot?
The standardized residual plot has a different shape than theoriginal residual plot. The plot suggests a generally horizontalband of residual points indicating that the error term assumptionsare satisfied.The standardized residual plot has a different shapethan the original residual plot. The plot suggests a funnel patternin the residuals indicating that the error term assumptions are notsatisfied. The standardized residual plothas the same shape as the original residual plot. The plot suggestsa generally horizontal band of residual points indicating that theerror term assumptions are not satisfied.The standardized residualplot has a different shape than the original residual plot. Theplot suggests curvature in the residuals indicating that the errorterm assumptions are satisfied.The standardized residual plot hasthe same shape as the original residual plot. The plot suggestscurvature in the residuals indicating that the error termassumptions are not satisfied.