The scatterplots depicted show data on the Amazon River's high and low water levels (in meters) at Iquitos, Peru, recorded annually from 1962 to 1978. Linear models have been applied to this data.**Scatterplot 1: Low Water Levels Over Time**- **Title:** SLR Basics Amazon River Models- **Y-axis:** Low water level in meters, ranging from 12m to 28m.- **X-axis:** Time, showing years from 1961 to 1979.- **Data Points:** Blue diamonds represent the low water levels each year.- **Trend Line:** A horizontal black line is drawn through the data points, indicating a fitted linear model. This suggests that the low water levels have remained relatively stable over the indicated period.**Scatterplot 2: High vs. Low Water Levels**- **Y-axis:** High water level in meters, ranging from 22.00m to 30.00m.- **X-axis:** Low water level in meters, ranging from 16.00m to 23.00m.- **Data Points:** Blue diamonds represent pairs of high and low water levels for each year.- **Trend Line:** A horizontal black line is drawn through the data points, indicating a fitted linear relationship between high and low water levels. This suggests that the high water levels remain fairly consistent despite variations in low water levels. Overall, both scatterplots indicate stable trends in water levels over the given years, as shown by the linear models. (i) One R² is 0.03% and the other is 0.07%. Which R² goes with the LOW/TIME model (the top graph)?[ Select ](ii) The R² for the HIGH/LOW model is low (regardless of whether it is 0.03% or 0.07%), so the best prediction for HIGH when LOW is 17 meters would be[ Select ]

(i). Identify the R2 that corresponds to LOW/TIME model: R-square: The coefficient of determination (R-Square) is defined as the proportion of variation in the observed values of the response variable that is explained by the regression. The squared correlation gives fraction of variability of response variable (y) accounted for by the linear regression model. The given two coefficient of determination values are 0.03% and 0.07%. The value of 0.07% is greater than the value of 0.03%. The data points of the scatterplot of LOW/TIME are nearer to the straight line that the data points of the scatterplot of HIGH/LOW. The coefficient of determination will be higher for the plot LOW/TIME. Thus, the R2 for LOW/TIME is 0.07%.(ii). Identify the R2 that corresponds to HIGH/LOW model: The given two coefficient of determination values are 0.03% and 0.07%, The value of 0.03% is less than the value of 0.07%. The data points of the scatterplot of LOW/TIME are nearer to the straight line that the data points of the scatterplot of HIGH/LOW. The coefficient of determination will be lower for the plot HIGH/LOW. Thus, the R2 for HIGH/LOW is 0.03%. Since, the R2 for HIGH/LOW is low, the model does not explain good amount of variation in HIGH. Therefore, the best prediction for HIGH when LOW is 17 meters would be the Average of HIGH.

Math

Statistics

The scatterplots shown below are based on the Amazon River's high and low water levels (in meters) at Iquitos, Peru, recorded each year from 1962 to 1978, inclusive. Linear models have been fitted to the data.

The scatterplots shown below are based on the Amazon River's high and low water levels (in meters) at Iquitos, Peru, recorded each year from 1962 to 1978, inclusive. Linear models have been fitted to the data.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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