mathematics and statistics teacher rex boggs, from australia, weighed the bar of soap in his shower stall before showering in the morning. the data on day and soap weight (in grams) appear in the table. (notice that he forgot to weigh the soap on some days!) here are the data.

Question

19-12-2022
Mathematics

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mathematics and statistics teacher rex boggs, from australia, weighed the bar of soap in his shower stall before showering in the morning. the data on day and soap weight (in grams) appear in the table. (notice that he forgot to weigh the soap on some days!) here are the data.

Answer :

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Yogeshkumari Yogeshkumari · Answer 1 · 2022-12-23T05:05:50-05:00

As per the concept of linear regression, the equation of the data is y = 133.1807 − 6.3096x.

The term linear regression means to determine the character and strength of the association between a dependent variable and a series of other independent variables.

Here we have given that mathematics and statistics teacher rex boggs, from Australia, weighed the bar of soap in his shower stall before showering in the morning. And the data on day and soap weight (in grams) appear in the table.

Here we need to find the linear regression equation that represents the given situation.

Based on the concept of linear regression, we know the the general formula for the regression is written as,

=> y = a + bx

FRom the given data, we have identified the value of the functions as,

a = 133.1807

b = -6.3096

r² = 0.9962

r = -0.9981

When we apply these values on the formula, then we get the equation as,

Then it implies the regression line is,

=> ŷ = a + bx = 133.18076.3096x

here a represents the day and y represents the weight in grams.

To know more about regression here

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