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

See similar textbooks

Similar questions

A) Draw a residual plot of the data. Explain why a linear model is appropriate for the data B) Suppose that the times have been recorded in seconds. For example, the time 34.12 minutes would be 2047 seconds. How would the value of r change?
Section H: Hyla chrysoscelis is a type of gray tree frog with a distinct mating call. Frogs are cold-blooded animals, and their physiology is affected by variations in temperature. Researchers wanted to know if the mating song of Hyla chrysoscelis is affected by the temperature of its natural habitat. They observed the mating song frequency (y in notes/sec) and the habitat (x in °Celsius) of 20 Hyla chrysoscelis in the wild. We aim to express the relationship between and y by using the simple linear regression model Yį = ßo + ß₁ x; + Eį. Table H.1 Coefficients Standardized Unstandardized Coefficients Coefficients 95.0% Confidence Interval for B Lower Bound B Std. Error Beta Sig. Upper Bound Model 1 (Constant) -6.190 -23.508 11.128 Temperature 2.331 1.602 3.059 a. Dependent Variable: Frequency Table H.2 Model Summary Model R Square R .846ª 1 .715 a. Predictors: (Constant), Temperature b. Dependent Variable: Frequency Adjusted R Square 8.243 .347 .699 Std. Error of the Estimate 2.82159…
Question 2 Directions: Make a scatter plot using the data, and then draw a line of best fit that seems to represent the data. The Fast Food Nutritional values are given in the chart. Sandwich A D Fat (grams) 10 14 21 30 Calories 500 300 325 425 525 Sandwich F Fat (grams) 32 32 35 27 26 Calories 600 550 600 550 475 E. 21
Please answer all 4
C) If Ariel converted her variables into standard deviation units and then computed her regression equation, what would her slope and intercept be?
Suppose a researcher collects data on the air pollution levels, measured in milligrams per cubic meter, for both urban and rural areas in 35 states. The data is plotted with urban air pollution levels on the horizontal axis and rural air pollution levels on the vertical axis. Nevada is an outlier in the ?x‑direction. What must be true about this state? The urban air pollution levels for this state are much higher or lower than the rest of the states in the data set. The rural air pollution levels for this state are much higher or much lower than the rest of the states in the data set. This state is an influential observation. The rural air pollution levels for this state are much higher or lower than other states in the data set that have similar urban air pollution levels. The absolute value of the residual of this state is large.
please solve within 30 minutes
my.cfisd.net :: Cypress-Fairbar x O CFISD K Kailey James - Surface Area Al x K Kailey James - Surface Area M X CFISD b web.kamihq.com/web/viewer.html?state%=%7B"ids"%3A%5B"1pVUxIxkvzK4Nr2xSTMFJuC4nLb DeyX3"%5D%2C"action"%3A"open"%2C"userld"%: FISD Bookmarks Typing practice m Poodll Record MP3. EDUTYPING LINK |. i Student Edu P A Kami Schoolo.. Kailey James - Surface Area Mixed Review.pdf 100% A wooden box in the shape of a rectangular prism is stained. 4 What is the surface area of the box? O 279 in.2 8 198 in.2 © 243 in.2 O 117 in.? 3 in. 6 in. 13.5 in.
A study was conducted to see if there was a linear relationship between the length in cm of seals in overhead photographs and their weight in kilograms. Below is the data: 4. Overhead 7.2 7.4 9.8 9.4 8.8 8.4 7.6 length Weight 116 154 250 200 197 194 170 а. If the length of a seal was 8.2 cm, what is its weight? b. Can you calculate the weight of a seal if it is 20 cm long?
The median home value in lowa and Connecticut (adjusted for inflation) are shown below. Year lowa Connecticut 1950 38300 71900 2000 82500 166900 If we assume that the house values are changing linearly, a) In which state have home values increased at a higher rate? Select an answer b) If these trends were to continue, what would be the median home value in lowa in 2010? c) If we assume the linear trend existed before 1950 and continues after 2000, the two states' median house values will be (or were) equal in what year? (The answer might be absurd) The year %i4
Item#3 A chemical engineer desiring to study the evaporation rate of water from brine evaporation beds obtained data on the number of inches of evaporation in each of 55 July days spread over 4 years. The data are given in the following stem and leaf plot, which shows that the smallest data value was o.02 inch, and the largest o.56 inch. Stem Leaf 0.0 2, 6 0.1 1, 4 1, 1, 1, 3, 3, 4, 5, 5, 5, 6, 9 0, 0, 2, 2, 2, 3, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 8, 9 0, 1, 2, 2, 2, 3, 4, 4, 4, 5, 5, 5, 7, 8, 8, 8, 9, 9 2, 5, 6 0.2 0.3 0.4 0.5 Find the: a) sample mean; b) sample median; c) sample standard deviation of these data. d) Do the data appear to be approximately normal? e) What percentage of data values are within 1 standard deviation of the mean?