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charati1317
04.03.2020 •
Mathematics
Canaries provide more food to their babies when the babies beg more intensely. Researchers wondered if begging was the main factor determining how much food baby canaries receive, or if parents also take into account whether the babies are theirs or not. To investigate, researchers conducted an experiment allowing canary parents to raise two broods: one of their own and one fostered from a different pair of parents. If begging determines how much food babies receive, then differences in the " begging intensities" of the broods should be strongly associated with differences in the amount of food the broods receive. The researchers decided to use the relative growth rates ( the growth rate of the foster babies relative to that of the natural babies, with values greater than 1 indicating that the foster babies grew more rapidly than the natural babies) as a measure of the difference in the amount of food received. They recorded the difference in begging intensities ( the begging intensity of the foster babies minus that of the natural babies) and relative growth rates. Here are data from the experiment:Difference in begging intensity -14 -12.5 -12 -8 -8 - 6.5 -5.5 -3.5 -3 -2 -1.5Relative growth rate 0.85 1 1.33 0.85 0.9 1.15 1 1.3 1.33 1.03 0.95Difference in begging intensit -1.5 0 0 2 2 3 4.5 7 8 8.5 Relative growth rate 1.15 1.13 1 1.07 1.14 1 0.83 1.15 0.93 0.7 Make a scatterplot that shows how relative growth rate responds to the difference in begging intensity.The scatterplot suggests that the relationship between relative growth rate and difference in begging intensityLinear or Not Linear ?
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Ответ:
The required scatterplot is given in attached file.
Step-by-step explanation:
From the scatterplot we see that two study variables are not linearly related. There may be some non-linear relation between the two variables.
Ответ:
Using a table of values, the outputs of f(x) for whole numbers are 0, 1, 4, 9, 16, 25, 36, and so on. For the same input values, g(x) has outputs of 1, 2, 4, 8, 16, 32, and 64. Continuing to double the output each time results in larger outputs than those of f(x). The exponential function, g(x), has a constant multiplicative rate of change and will increase at a faster rate than the quadratic function.
(ed. just click all of them)