The store manager of a business that sells jacketsis curious if the weather temperature (in degreesCelsius) per day is related to the daily sales (inpesos) earned by the store. He took some randomsamples and recorded the temperatures and salesfor the selected days, which can be found in thenext slide. Calculate the correlation coefficient andinterpret the result. Day1478.9.Temp.35.4139.9436.6535.835.5734.7833.5141.0234.25Sales4,6714,2304,0225,0163,1334,9765,3684,0785,154Day1011121415161718Temp.36.7133.2735.3737.1235.8336.1434.5141.1835.98Sales4,5975,4115,0174,2504,8544,7135,2493,9704,019Day19202122232425Temp.36.2135.0434.1537.2836.8435.4937.56Sales4,6855,0025,3604,5404,6715,1254,41061133.

Result: i) Correlation coefficient between temperature and sales is -0.6362 ii)Yes, Weather…

Answered: The store manager of a business that…

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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When doing a correlational analysis, three possible results may occur. Define what does positive correlation, negative correlation and no relationship means.
The store manager of a business that sells jackets is curious if the weather temperature (in degrees Celsius) per day is related to the daily sales (in pesos) earned by the store. He took some random samples and recorded the temperatures and sales for the selected days, which can be found in the next slide. Calculate the correlation coefficient and interpret the result.
A researcher measures GPA and height for a group of high school students. What kind of correlation is likely to be obtained for these two variables?
Let x be the average number of employees in a group health insurance plan, and let y be the average administrative cost as a percentage of claims. x 3 7 15 32 75 y 40 35 30 26 18 (a) Make a scatter diagram of the data and visualize the line you think best fits the data. Flash Player version 10 or higher is required for this question. You can get Flash Player free from Adobe's website. (b) Would you say the correlation is low, moderate, or strong? positive or negative? strong and negative moderate and negative strong and positive low and negative low and positive moderate and positive (c) Use a calculator to verify that Σx = 132, Σx2 = 6932, Σy = 149, Σy2 = 4725, and Σxy = 2997. Compute r. (Round your answer to three decimal places.)r = As x increases, does the value of r imply that y should tend to increase or decrease? Explain. Given our value of r, we cannot draw any conclusions for the behavior of y as x increases. Given our value of r, y should tend to…
Summarize the definitions for linear correlation, quadratic correlations and exponential correlations. Provide an example graph of each of the types of correlation along with your summarized definitions.
Two items R and S belong to one test of numerical ability. Item R is passed by 50 and failed by 40 students in a group of 90 stu- dents. Item S is passed by 60 and failed by 30 students in the same sample. Find the correlation between R and S.
Explain Graphically by drawing hypothetical disgrams when the coefficient of correlation between two variables is (a) perfect positive, (b) perfect Negative, (c) zero?
Give an example of two variables that you would expect to have a correlation close to or equal to -1. Give an example of two variables that you would expect to have a correlation close to or equal to 0. Remember that survey question you wrote? Take the class responses to your survey as data related to the one variable of your question. Now, take the list of responses from the survey question that one of your classmates wrote. Write down both lists of data. (If one sample size happens to be different from the other, cut the larger sample size down to that of the smaller sample size.) Calculate the correlation between the two variables. Describe the linear relationship between these two variables. (data for number 3) How many cars have you had so far in your lifetime? 0,1,1,1,2,2,2,2,3,3,3,3,4,4,5,6,6,7,10. How many days per week do you exercise? 0,0,0,1,2,3,3,3,3,4,4,4,4,5,5,5,5,6,6,6
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.
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?
How many miles did you drive in the last 7 days (n = 110)? The mean is 86 and standard deviation is 22… What percent of people drove more than 50 miles in the last 7 days? What percent of people drove 90 to 110 miles in the last 7 days? What percent of people drove less than 70 miles in the last 7 days? What percent of people drove more than 100 miles in the last 7 days? What percent of people drove 75 to 125 miles in the last 7 days?

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