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Grade= 102.49 - 3.62 * Absence For every 1 class increase in the number of absences, the
Interpret the slope of the estimated regression equation mean final grade is predicted to decrease by 3.62% in a
in context. statistics class.
R-squared= 0.8915 Approximately 89.15% of the variation in the final grade
Interpret the coefficient of determination in context for the can be explained by the linear relationship between the
final grade by number of absences model. number of absences and final grade.
Upper: -2.16, Lower: -5.07 We are 95% confident that the mean final grade of stu-
Interpret the 95% confidence interval for the mean final dents when the number of absences is 6 classes is be-
grade for all students with the 6 absences in context. tween 74.11% and 87.42%.
Strength of Association: 0 < r < 0.4 positive, weak
Strength of Association: -0.4 < r < 0 negative, weak
Strength of Association: 0.4 < r < 0.8 positive, moderate
Strength of Association: -0.8 < r < -0.4 negative, moderate
Strength of Association: 0.8 < r < 1 positive, strong
Strength of Association: -1 < r < -0.8 negative, strong
R-square= 0.759 Approximately 75.90% of the variation in rain gauge
Interpret the coefficient of determination in context for the amount can be explained by the linear relationship be-
rain gauge by radar rain model using the output below. tween radar rain and rain gauge amount.
-the scatter plot exhibits a straight line
-the residual plot also does not display a non-linear rela-
What should you write about when talking about linearity? tionship of any kind
-it is reasonable to assume that there is a linear relation-
ship between the radar rain and rain gauge amount
we are told to assume that a random sample was obtained
What should you write about when talking about inde-
using good sampling techniques, so we have no reason to
pendence?
believe this assumption is violated.
-The points on the normal probability plot (QQ plot) of
residual roughly follow the diagonal line on the plot.
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