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18. A farmer was interested in the relationship between the amount of fertilizer (x) and the number of bushels (y) of soybeans produced. The
18. A farmer was interested in the relationship between the amount of fertilizer (x) and the number of bushels (y) of soybeans produced. The farmer conducted an experiment and obtained the following data. Hundreds of pounds Bushels per acre (x) per acre(y) b) Do the data appear to be positively or negatively correlated? c) Find and interpret the correlation coefficient. e) Interpret the slope of the regression equation. 1.0 2.5 3.0 3.0 3.4 1900444 g) Find and interpret the coefficient of determination. 4.0 4.0 45 228838389 f) Estimate the number of bushels given 3.5 hundred pounds of fertilizer. 25 a) Draw a scatter diagram. Do the sample data appear to indicate a linear relationship between the amount of fertilizer and the number of bushels? 35 35 d) Find and graph (on the scatter diagram in part a) the line of best fit for estimating the bushels per acre given hundreds of pounds of fertilizer. 40
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