19 <1< 211521 <1< 231123 <1< 2575 of 8a) What is the modal class?b) Which class contains the median?c) Calculate an estimate for the mean of this data.d) Calculate an estimate for the standard deviation of this data.Criteria 3.5: Estimate the size of a population by the release and recapture method.1. In a wooded area was 50 woodlice were captured. These were marked and released. Thenext day a total of 75 woodlice were captured. 15 of these were found to be marked.Calculate the population of woodlice present in the wooded area.2.Over the period of a month, you trap and tag 15 deer in a forest, and mark themwith tags. You set up motion sensitive remote cameras up at various locations inthe forest. 1 month later, you collect all the cameras and review the pictures. Yourecord the results and note that the cameras took pictures of 4 tagged deer and 7untagged Deer. What would be the total population of deer in the forestreserve?Criteria 3.4: Calculate and interpret a correlation coefficient.1. Gary compared the total attendance, x, at home matches and the total number of goals, y, scored athome during a season for each of 12 football teams playing in a league. He correctly calculated:Str = 1022500Sy = 130.9S = 8825 10:01 1ll ?SearchRingerMarjaCriteria 3.4: Calculate and interpret a correlation coefficient.1. Gary compared the total attendance, x, at home matches and the total number of goals, y, scored athome during a season for each of 12 football teams playing in a league. He correctly calculated:Syr = 1022500Sy= 130.9Sxy= 8825(a)Calculate the product moment correlation coefficient for these data.(b)Interpret the value of the correlation coefficient.2.A scientist wants to develop a model to describe the relationship between the average dailytemperature, x °C, and her household's daily energy consumption, y kWh, in winter.A random sample of the average daily temperature and her household's daily energyconsumption are taken from 10 winter days and shown in the table.-0.4-0.20.30.81.11.41.82.12.52.628302625262726242221You may use:Σy = 255Exy = 283.8Syy= 64.5a) Find a value for the product moment correlation coefficient r for this data.b) Explain what the value of the product moment correlation tells you about the relationship between thedaily temperature and the household energy consumption.4.2. Calculate the results of combining errors when substituting valuesin formulae.

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Answered: 1. Gary compared the total attendance,…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Problem 1P

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After a first-order model was fitted to the data, the coefficient of correlation between the usage in hours per week (x) of a particular brand of computer and the maintenance cost of the computer (y) is calculated as 0.84. Interpret the value of the coefficient of determination.
In a regression study, relating Price/unit (x) to Weekly Sales (in Kg.), with the scatter plot showing a strong negative direction, 63% of the variability in sales could be accounted for by the variation in the Unit Price. The correlation coefficient in this study is: 0.7 -0.4 -0.79 0.4
If you have 10 variables when computing correlation coefficients how many unique coefficients will you have overall?
A random sample of college students was surveyed about how they spend their time each week. The scatterplot below displays the relationship between the number of hours each student typically works per week at a part- or full-time job and the number of hours of television each student typically watches per week. The correlation between these variables is r = –0.63, and the equation we would use to predict hours spent watching TV based on hours spent working is as follows: Predicted hours spent watching TV = 17.21 – 0.23(hours spent working) Since we are using hours spent working to help us predict hours spent watching TV, we’d call hours spent working a(n) __________________ variable and hours spent watching TV a(n) __________________ variable. The correlation coefficient, along with what we see in the scatterplot, tells us that the relationship between the variables has a direction that is _________________ and a strength that is ______________________. According to the…
In a regression study, relating Price/unit (x) to Weekly Sales (in Kg.), with the scatter plot showing a strong negative direction, 63% of the variability in sales could be accounted for by the variation in the Unit Price. The correlation coefficient in this study is: 0.79 -0.4 -0.79 0.4
For a data set of chest sizes (distance around chest in inches) and weights (pounds) of twelve anesthetized bears that were measured, the linear correlation coefficient is r= 0.732. Use the table available below to find the critical values of r. Based on a comparison of the linear correlation coefficient r and the critical values, what do you conclude about a linear correlation?
The correlation between autonomy (how independent and in control of their own decisions someone feels) and sleep disturbance is -0.327. Explain this correlation in terms of size and direction (note: use the actual variables in your explanation).
A nutritionist collects data from 25 popular breakfast cereals. For each cereal, the number of calories per serving is plotted on the x-axis against the number of milligrams of sodium on the y-axis. The value of r for the resulting scatterplot is 0.83. How would the value of the correlation coefficient, r, change if sodium was plotted on the x-axis and calories plotted on the y-axis? The value of r would increase. The value of r would not change. The value of r would change to –0.83. The value of r could increase or decrease, depending of the strength of the new relationship.
how can i calculate
Suppose data are collected concerning the weight of a person in pounds and the number of calories burned in 30 minutes of walking on a treadmill at 3.5 miles per hour. How would the value of the correlation coefficient, r, change if all of the weights were converted to kilograms?
A biologist was recording various temperatures (in degrees Celsius) and predicting the amount of glucose produced by a plant (in milligrams). Suppose the linear equation was the following: ?̂ = 12.7 − 0.223? d) Suppose the correlation coefficient was −0.12. How would you classify the correlation between temperature and amount of glucose?
A researcher computes the correlation coefficient r= 0.4212 for an explanatory and response variable. What proportion of the changes in the response variables value is accounted for by the change in the explanatory variable's value? Give your answer to four decimal places.

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