Given a data set that contains both qualitative data and quantitative data, describe an appropriate way to analyze this type of data.
The best way to analyze a data set that has both qualitative data and quantitative data is by breaking the set down into a chart. In this case, the quantitative data is categorized on the right side of the chart while the qualitative data goes to the left side.
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In an experiment, a fixed amount of fertilizer was applied to each of 10 plots, and the corresponding yield in pounds of corn was measured. Identify the independent and dependent variables in this experiment.
The independent variables are the ones that stay the same throughout the experiment while the dependent variables vary. The independent variables in this experiment include the type of soil in which the corn was planted , the amount of corn, the amount of fertilizer used, the amount of water and exposure to sunlight that the corn received. All these independent factors affect the weight of the plant and the number of corn harvested. The dependent variables, on the other hand, t he dependent variables comprise of the amount of corn harvested, height of stem, time to maturation, leaf surface area, and weight of the plant.
Briefly discuss the three combinations of variable types that can form bivariate data.
One attribute of both variables is that they are qualitative,
One variable could be quantitative (numerical) and the other is qualitative (numerical), or,
Both variables could be both numerical (quantitative).
When the bivariate data are the result of two quantitative variables, it is customary to express the data mathematically as ordered pairs (x, y). What do the variables x and y represent?
In this case, x is the input variable, which is sometimes referred to as the independent variable while y is the output variable, which is sometimes referred to as the dependent variable . These pairs (x, y) are said to be ordered due to the fact that one value, x, always comes first. Also, they are said to be paired because for each value of x, there is a corresponding y value drawn from a similar source.
Determine the number of ways that two letters can be selected from if order in the sample is not to be considered. List the possible samples.
This is a case of permutations and combinations
Possible samples for A, B, C, D include:
[AA, BB, CC, DD]
AB, BA, AC, CA
AD, DA, BC, CB
BD, DB, CD, DC
There are 16 possible samples with repeats and 12 without repeats.
How many samples of size 5 are possible when selecting from a set of 10 distinct integers if the sampling is done with replacement?