The correlation coefficient for the data to the nearest hundredth will be 0.926 and the correlation coefficient for the data indicate about the positive direction and strength of the linear association between the monthly rainfall and the number of umbrellas sold is high correlation
The Pearson correlation coefficient, sometimes referred to as Pearson's r, the Pearson product-moment correlation coefficient, the bivariate correlation, or simply the correlation coefficient, is a statistical indicator of the linear connection between two sets of data.
Given Patty’s Parasols recorded the monthly rainfall and their umbrella sales for an entire year in a table form.
We have to find the correlation coefficient for the data to the nearest hundredth and the correlation coefficient for the data indicate about the direction and strength of the linear association between the monthly rainfall and the number of umbrellas sold
Let x be the amount of rain, and let y be the price of sold umbrellas. The means of x and y will be determined first.
After determining the means of x and why, a new table will be drawn, with the first column representing x, the second representing y, and the third representing (Xi-x). Fourth will be (Yi-), while fifth will be (Xi-x). 2 and the final column will be (Yi-) ²
After that, we will enter all of the values into the formula, which is shown in the image below. The correlation coefficient will be r = 0.926 after all the values are entered into the formula.
Hence the correlation coefficient for the data to the nearest hundredth will be 0.926 and the correlation coefficient for the data indicate about the positive direction and strength of the linear association between the monthly rainfall and the number of umbrellas sold is high correlation
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