3.A) Using only the scatterplot, do you think a linear model does a good job of describing the relationship? Explain why or why not.The linear model (does/does not) do a good job of describing the relationship because the scatterplot is approximately (linear/nonlinear). B) Using only the residual plot, what can you determine about whether the basic assumptions of the linear regression model are met?There (is/is not) an obvious pattern in the residual plot, which would indicate that the basic assumptions (are/are not) met. C)Using only the normal probability plot and boxplot of the residuals, what can you determine about whether the basic assumptions of the linear regression model are met?The normal probability plot of the residuals is roughly (linear/nonlinear), so the assumption that the distribution of e is approximately normal (is/ is not) reasonable. The boxplot of the residuals (nontains/ does not contain) an outlier, so there (is/ is no) doubt regarding the assumption of approximately normality. D)Using only the values of r2 and se, what can you say about the quality of the fit of the linear model for these data?The (large/small) value of r2 combined with the (large/small) value for se indicates that the linear model fits the data (poorly/well). Theropods were carnivorous dinosaurs, characterized by short forelimbs, living in the Jurassic and Cretaceous periods. (Tyrannosaurus rex is classified as a Theropod.) What scientists know about therapods is based on studying incomplete skeletal remains. In a study described in the paper"My Theropod is Bigger than Yours ... or not: Estimating Body Size from Skull Length in Theropods,"t researchers used data from skeletons to develop a model describing the relationship between body length and skull length. JMP was used to produce the following graphical displays andcomputer output. When you evaluate the fit of an estimated regression line, all of the information below is considered as a whole. However, the summary statistics in the computer output and the different plots each convey some specific information.ScatterplotResidual PlotN. P. Plot and BoxplotAxes InformationBivariate Fit of BodyLength By SkullLength141210820.250.50.7511.251.5SkullLengthLinear FitBodyLength = 0.7061088 + 7.791973*SkullLengthSummary of FitRSquare0.953929RSquare Adj0.9512180.801042Root Mean Square ErrorMean of ResponseObservations (or Sum Wgts)5.85947419Analysis of VarianceParameter EstimatesStdTermEstimateProb > It|ErrorRatioIntercept0.70610880.3304852.140.0475*SkullLength7.7919730.41531818.76<.0001*BodyLength

A) The linear model does a good job of describing the relationship because the scatterplot is…

Answered: Using only the scatterplot, do you…

MATLAB: An Introduction with Applications

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A) Using only the scatterplot, do you think a linear model does a good job of describing the relationship? Explain why or why not.

The linear model (does/does not) do a good job of describing the relationship because the scatterplot is approximately (linear/nonlinear).

B) Using only the residual plot, what can you determine about whether the basic assumptions of the linear regression model are met?

There (is/is not) an obvious pattern in the residual plot, which would indicate that the basic assumptions (are/are not) met.

Using only the normal probability plot and boxplot of the residuals, what can you determine about whether the basic assumptions of the linear regression model are met?

The normal probability plot of the residuals is roughly (linear/nonlinear), so the assumption that the distribution of e is approximately normal (is/ is not) reasonable. The boxplot of the residuals (nontains/ does not contain) an outlier, so there (is/ is no) doubt regarding the assumption of approximately normality.

Using only the values of r² and s_e, what can you say about the quality of the fit of the linear model for these data?

The (large/small) value of r² combined with the (large/small) value for s_e indicates that the linear model fits the data (poorly/well).

Theropods were carnivorous dinosaurs, characterized by short forelimbs, living in the Jurassic and Cretaceous periods. (Tyrannosaurus rex is classified as a Theropod.) What scientists know about therapods is based on studying incomplete skeletal remains. In a study described in the paper
"My Theropod is Bigger than Yours ... or not: Estimating Body Size from Skull Length in Theropods,"t researchers used data from skeletons to develop a model describing the relationship between body length and skull length. JMP was used to produce the following graphical displays and
computer output. When you evaluate the fit of an estimated regression line, all of the information below is considered as a whole. However, the summary statistics in the computer output and the different plots each convey some specific information.
Scatterplot
Residual Plot
N. P. Plot and Boxplot
Axes Information
Bivariate Fit of BodyLength By SkullLength
14
12
10
8
2
0.25
0.5
0.75
1
1.25
1.5
SkullLength
Linear Fit
BodyLength = 0.7061088 + 7.791973*SkullLength
Summary of Fit
RSquare
0.953929
RSquare Adj
0.951218
0.801042
Root Mean Square Error
Mean of Response
Observations (or Sum Wgts)
5.859474
19
Analysis of Variance
Parameter Estimates
Std
Term
Estimate
Prob > It|
Error
Ratio
Intercept
0.7061088
0.330485
2.14
0.0475*
SkullLength
7.791973
0.415318
18.76
<.0001*
BodyLength

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