A group of scientists discovered a small creature at the bottom of the ocean that they called a "piknit". When this interesting creature dies, it explodes itself into a number of baby piknits called gogles. The scientists randomly selected 20 piknits from the sea-floor and measured their respective weights in grams. After the piknits died they counted the number of gogles that each piknit produced. They wanted to know if the weight of the piknits can be used to predict the number of gogles. What are the appropriate null and alternative hypotheses?

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09-12-2022
Mathematics

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A group of scientists discovered a small creature at the bottom of the ocean that they called a "piknit". When this interesting creature dies, it explodes itself into a number of baby piknits called gogles. The scientists randomly selected 20 piknits from the sea-floor and measured their respective weights in grams. After the piknits died they counted the number of gogles that each piknit produced. They wanted to know if the weight of the piknits can be used to predict the number of gogles. What are the appropriate null and alternative hypotheses?

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Qwtea Qwtea · Answer 1 · 2022-12-18T01:45:55-05:00

The weight of the piknits can be used to predict the number of goggles as there is a Linear equation in variables that may be defined as a linear courting among x and y, that is, variables.

In this case, let x is the impartial variable, and y relies upon it, so y is called as the established variable.

linear courting (or linear association) is a statistical period used to explain a straight-line courting among variables. Linear relationships may be expressed both in a graphical layout or as a mathematical equation of the shape y = MX + b.

"There is no linear relationship between the weight and the number of glasses"

"There is a linear relationship.

A. Yes, because the scatterplot shows a linear pattern.

C. Yes, because a random sample was taken from Piknits for the scatterplots of the 4th and 5th residuals.