Consider the following data for two variables, x and y. x, 135 110 130 145 175 160 120 V, 145 105 120 120 130 130 105 (a) Compute the standardized residuals for these data. (Round your answers to two decimal places.) X, Y, Standardized Residuals 135 145 110 105 130 120 145 120 175 130 160 130 120 105 Do the data include any outliers? Explain. (Round your answers to two decimal places.) The standardized residual with the largest absolute value is corresponding to y, (b) Plot the standardized residuals against 9. Does this plot reveal any outliers? O The plot shows no possible outliers. O The plot shows one possible outlier. O The plot shows two possible outliers. O The plot shows more than two possible outliers. (c) Develop a scatter diagram for these data. Does the scatter diagram indicate any outliers in the data? O The diagram indicates that there are no possible outliers. O The diagram indicates that there is one possible outlier. O The diagram indicates that there are two possible outliers. O The diagram indicates that there are more than two possible outliers. Since this residual is-Select-.. Vit --Select-- Van outlier. In general, what implications does this finding have for simple linear regression? O For simple linear regression, it is impossible to determine whether there is an outlier using standardized residuals, a standardized residual plot, or a scatter diagram. O For simple linear regression, we can determine an outlier by looking at the scatter diagram. For simple linear regression, we must calculate standardized residuals, plot a standardized residual plot, and construct a scatter diagram to identify outlier.
Consider the following data for two variables, x and y. x, 135 110 130 145 175 160 120 V, 145 105 120 120 130 130 105 (a) Compute the standardized residuals for these data. (Round your answers to two decimal places.) X, Y, Standardized Residuals 135 145 110 105 130 120 145 120 175 130 160 130 120 105 Do the data include any outliers? Explain. (Round your answers to two decimal places.) The standardized residual with the largest absolute value is corresponding to y, (b) Plot the standardized residuals against 9. Does this plot reveal any outliers? O The plot shows no possible outliers. O The plot shows one possible outlier. O The plot shows two possible outliers. O The plot shows more than two possible outliers. (c) Develop a scatter diagram for these data. Does the scatter diagram indicate any outliers in the data? O The diagram indicates that there are no possible outliers. O The diagram indicates that there is one possible outlier. O The diagram indicates that there are two possible outliers. O The diagram indicates that there are more than two possible outliers. Since this residual is-Select-.. Vit --Select-- Van outlier. In general, what implications does this finding have for simple linear regression? O For simple linear regression, it is impossible to determine whether there is an outlier using standardized residuals, a standardized residual plot, or a scatter diagram. O For simple linear regression, we can determine an outlier by looking at the scatter diagram. For simple linear regression, we must calculate standardized residuals, plot a standardized residual plot, and construct a scatter diagram to identify outlier.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Transcribed Image Text:Consider the following data for two variables, x and y.
X; 135 110 130 145 175 160 120
Y₁
135
(a) Compute the standardized residuals for these data. (Round your answers to two decimal places.)
X; Y; Standardized Residuals
145
110 105
130 120
145 120
175 130
145 105 120 120 130 130 105
160 130
120 105
Do the data include any outliers? Explain. (Round your answers to two decimal places.)
The standardized residual with the largest absolute value is
corresponding to y₁ =
(b) Plot the standardized residuals against ý. Does this plot reveal any outliers?
O The plot shows no possible outliers.
O The plot shows one possible outlier.
O The plot shows two possible outliers.
O The plot shows more than two possible outliers.
(c) Develop a scatter diagram for these data. Does the scatter diagram indicate any outliers in the data?
O The diagram indicates that there are no possible outliers.
O The diagram indicates that there is one possible outlier.
O The diagram indicates that there are two possible outliers.
O The diagram indicates that there are more than two possible outliers.
Since this residual is -Select---
V it ---Select---
In general, what implications does this finding have for simple linear regression?
O For simple linear regression, it is impossible to determine whether there is an outlier using standardized residuals, a standardized residual plot, or a scatter diagram.
O For simple linear regression, we can determine an outlier by looking at the scatter diagram.
O For simple linear regression, we must calculate standardized residuals, plot standardized residual plot, and construct a scatter diagram to identify an outlier.
an outlier.
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