Suppose that George wants to determine if the number of y insects in a given area is related to the number of flowers in that area. He creates three 1 m2 quadrats in his backyard and Data point 1 X¡ = 10 yi = 9 counts the number of flowers (x) and number of insects (y) Data point 2 X2 = 18 y2 = 16 Data point 3 in each quadrat. His data are shown in the table. Calculate the Pearson product-moment correlation X3 = 20 y3 = 14 Mean x = 16.00 y = 13.00 coefficient, r, using the formula Standard deviation sd= 5.292 sd,= 3.606 E zxi · Zyi r = п — 1 where z is the z-score for each value, x¡ represents the x-value for each data point, y; represents the y-value for each data point, and n represents the sample size. Complete the following five steps to calculate r, and give each of your answers precise to two decimal places. Step 1. Calculate the z-score for each x-value. X1 - x sdx x2 - x Хз — х Zx1 = Zx2 = Zx3 = sdx sdx
Suppose that George wants to determine if the number of y insects in a given area is related to the number of flowers in that area. He creates three 1 m2 quadrats in his backyard and Data point 1 X¡ = 10 yi = 9 counts the number of flowers (x) and number of insects (y) Data point 2 X2 = 18 y2 = 16 Data point 3 in each quadrat. His data are shown in the table. Calculate the Pearson product-moment correlation X3 = 20 y3 = 14 Mean x = 16.00 y = 13.00 coefficient, r, using the formula Standard deviation sd= 5.292 sd,= 3.606 E zxi · Zyi r = п — 1 where z is the z-score for each value, x¡ represents the x-value for each data point, y; represents the y-value for each data point, and n represents the sample size. Complete the following five steps to calculate r, and give each of your answers precise to two decimal places. Step 1. Calculate the z-score for each x-value. X1 - x sdx x2 - x Хз — х Zx1 = Zx2 = Zx3 = sdx sdx
Suppose that George wants to determine if the number of y insects in a given area is related to the number of flowers in that area. He creates three 1 m2 quadrats in his backyard and Data point 1 X¡ = 10 yi = 9 counts the number of flowers (x) and number of insects (y) Data point 2 X2 = 18 y2 = 16 Data point 3 in each quadrat. His data are shown in the table. Calculate the Pearson product-moment correlation X3 = 20 y3 = 14 Mean x = 16.00 y = 13.00 coefficient, r, using the formula Standard deviation sd= 5.292 sd,= 3.606 E zxi · Zyi r = п — 1 where z is the z-score for each value, x¡ represents the x-value for each data point, y; represents the y-value for each data point, and n represents the sample size. Complete the following five steps to calculate r, and give each of your answers precise to two decimal places. Step 1. Calculate the z-score for each x-value. X1 - x sdx x2 - x Хз — х Zx1 = Zx2 = Zx3 = sdx sdx
Definition Definition Statistical measure used to assess the strength and direction of relationships between two variables. Correlation coefficients range between -1 and 1. A coefficient value of 0 indicates that there is no relationship between the variables, whereas a -1 or 1 indicates that there is a perfect negative or positive correlation.
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