By Gerry McAfee
Prepare to grasp the innovations of AP records and ace your examination! grasp Math: AP information is a complete reference consultant written particularly for AP statistics scholars, masking all of the issues of AP facts in an easy, easy-to-follow type and layout. compatible for a large choice of skill degrees, this booklet explains and clarifies a number of the techniques of AP records together with exploring facts, sampling and experimentation, looking forward to styles, and statistical inference. the instance difficulties in every one bankruptcy are written with the AP facts examination in brain that will help you comprehend the recommendations and the way to successfully resolution the examination questions. you will additionally locate necessary appendices that aid with examination training, together with all of the tables and formulation which are given and wanted, in addition to a quick-reference precis of assumptions and stipulations for inference. A worthwhile word list may also help you sweep up on terminology. grasp Math: AP facts is a useful source for someone learning and getting ready for the AP statistics examination.
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Additional info for Master Math: AP Statistics
0052 log x Exploring and Graphing Bivariate Data 4. Use the power property of logs to rewrite. 0052 5. 5970 power and cancel 10 to the log power. 0052 Our final equation is a power equation. 22). 22 The power model fits the data. 1 Density Curves • Density curves are smooth curves that can be used to describe the overall pattern of a distribution. Although density curves can come in many different shapes, they all have something in common: The area under any density curve is always equal to one.
Finally, we can see that the residual plot for the exponential model (log y on x) appears to have random scatter. An exponential model is appropriate. 17 Scatterplot of log y vs. x and residual plot with random scatter. 34 Master Math: AP Statistics We can write the LSRL equation for the transformed data of log y vs. x. We then use the properties of logs and perform the inverse transformation as follows to obtain the exponential model for the original data. 1. Write the LSRL for log y on x. 3112 x, but remember that you are using the log of the y values, so be sure to use log yˆ, not just yˆ.
The relationship between the mean and the median is an important concept, especially when dealing with density curves. In a symmetrical density curve, the mean and median will be equal if the distribution is perfectly symmetrical or approximately equal if the distribution is approximately symmetrical. If a distribution is skewed left, then the mean will be “pulled” in the direction of the skewness and will be less than the median. If a distribution is skewed right, the mean is again “pulled” in the direction of the skewness and will be greater than the median.