Determine the linear trend equation and then interpret it. Year1989199019911992199319941995199619971998Electricity Sales ($)2354-342379.712318.522468.992386-092569.472575.722762.722844.53000-7-year1999200020012002200320042005200620072008Electricity Sales ($)3108-13357.53075-73180-63221.63176-23430-63527-483637.893655

Answered: Determine the linear trend equation and…

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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Regression and correlation analysis both describe the strength of linear relationships between variables. Consider the concepts of education and income. Many people would say these two variables are related in a linear fashion. As education increases, income usually increases (although not necessarily at the same rate). Can you think of two variables that are related in such a way that their relationship changes over their range of possible values (i.e., in a curvilinear fashion)? How would you analyze the relationship between two such variables?
You generate a scatter plot using Excel. You then have Excel plot the trend line and report the equation and the r2r2 value. The regression equation is reported asy=−38.54x+27.71y=-38.54x+27.71and the r2=0.36r2=0.36.What is the correlation coefficient for this data set?r =
In a simple linear regression analysis, the correlation coefficient (r) and the slope (b) ___________ have the same sign?
The scatter plot shows the relationship between the number of minutes studying for a test (x) and the number of mistakes made (y). The graph shows the scatterplot of the data and a fitted line. 19+ 18 17 16 15 14 13 12 10 4 -10 10 20 30 40 50 60 70 80 90 100 lio a2 Select True or False for each statement based on the scatter plot. True/False There is a negative association between the amount of time studying for a test and the number of mistakes made. True False Students who studied for a longer period of time tended to make more mistakes. True False There is a linear association between time True False studying and number of mistakes.
Below is a scatterplot of a student’s SAT score and their college GPA. Suppose we want to decide if a student’s SAT score and their GPA are linearly related. What does this scatterplot tell us of the relationship? Support your answer. SAT score_GPA scatterplot.pdf
Assume that in one country in 2005, 12.5% of the population was 65 or older. By 2050, this percent is expected to be 21.05%. The percent of the population ages 25-34 in 2005 was 13.9%. That age group is expected to include 13.1215% of the population in 2050. A.) Assuming these population changes are linear, use the data for the 65 or over age group to write a linear equation. Then do the same for the 25-34 age group. Let x=0represent 2005 and x=45 represent 2050. Express percents in decimal form. A1.) For the population of 65 or older the equation is y=________. A2.) For the population of 25-34 years the equation is y=________. B.) Solve the system of linear equations from part (a). In what year will the two age groups include the same percent of the population? What is that percent? B1.) The age groups include the same percent of population in the year_______. (Do not round until the final answer. Then round to the nearest year as needed.) B2.) The percent…
10) Using advertised prices for used Ford Escorts a linear model for the relationship between a car's age and its price is found. The regression has an R2-87.4%. Write a sentence summarizing what R2 says about this regression. A) The age of the car explains 9.35% of the variation in price. B) The price of the car explains 12.6% of the variation in age. C) The age of the car explains 87.4% of the variation in price. D) The price of the car explains 87.4% of the variation in age. E) The age of the car explains 12.6% of the variation in price. Solve. Round to two decimal places if necessary. 11) At one college, 68% of students have credit cards. A credit card company, looking for new customers, sets up a booth at the college. If they pick students at random, how many students should they expect to talk to before finding one who does not have a credit card? A) 32 B) 3.13 D) 68 C) 0.32 E) 1.47
Two variables have a linear relationship amd their correlation coefficient of -0.837. this represents. A. A strong positive linear trend. B. A weak positive linear trend. C. A weak positive linear trend. D. A strong negative linear trend.
Life Expectancies Is there a relationship between the life expectancy for men and the life expectancy for women in a given country? A random sample of nonindustrialized countries was selected, and the life expectancy in years is listed for both men and women. Are the variables linearly related? Men 60.2, 43.9, 59.8, 66.1, 68.4, 64.8 Women 60.0, 43.8, 56.6, 72.7, 63.5, 66 Draw the scatter plot for the variables. Compute the value of the correlation coefficient r= state the hypothesis h0: h1: critical value(s) reject or accept the null hypothesis Give a brief explanation of the type of relationship
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lecture(11.12): A large amount of scatter in a scatter plot is an indication that the relationship between the two variables is (a) negative (b) strong (c) weak (d) moderate (e) positive
Shelia's doctor is concerned that she may suffer from gestational diabetes (high blood glucose levels during pregnancy). There is variation both in the actual glucose level and in the blood test that measures the level. A patient is classified as having gestational diabetes if the glucose level is above 140 milligrams per deciliter one hour after a sugary drink is ingested. Shelia's measured glucose level one hour after ingesting the sugary drink varies according to the Normal distribution with mean 128 mg/dl and standard deviation 9 mg/dl. Let ? denote a patient's glucose level. (a) If measurements are made on four different days, find the level ? such that there is probability only 0.01 that the mean glucose level of four test results falls above ? for Shelia's glucose level distribution. What is the value of ??ANSWER: (b) If the mean result from the four tests is compared to the criterion 140 mg/dl, what is the probability that Shelia is diagnosed as having gestational…

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