In Austria ,The amount of money spent on the restoration of a sanctuary and the distinct kangaroo populations present appeared to have negative correlations For investigation of this onserved assocaition ,what can a resecher do to begin his research 1Conduct an experiment 2Calculate the squares of coreealtion coefficient 3Calculate the least squares regression line 4 calculate the corelation coefficient Explain answer in 1 or 2 lines

In Austria ,The amount of money spent on the restoration of a sanctuary and the distinct kangaroo populations present appeared to have negative correlations For investigation of this onserved assocaition ,what can a resecher do to begin his research 1Conduct an experiment 2Calculate the squares of coreealtion coefficient 3Calculate the least squares regression line 4 calculate the corelation coefficient Explain answer in 1 or 2 lines

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CR: Review Exercises

Problem 62CR

See similar textbooks

Similar questions

The new manager of an Information Technology company collected data for a sampleof 20 computer programmers in the organization to perform a multiple regressionanalysis on the structure of their salaries. The aim of this manager in this exercise is todetermine if the Salary (y) of a hired computer programmer was related to the years ofExperience (??) in the organization and also the Score (??) of the programmers duringtheir first interview aptitude test scores. The years of experience, score on the aptitudetest and the corresponding annual salary (in thousands of Ghana cedis) for a sample ofthe 20 programmers is shown in the Regression statistics table below;Experience (??)(in years)Score (??)(out of 100%)Salary (y)(GH¢ 000)4 78 247 100 431 86 23.75 82 34.38 86 35.810 84 380 75 22.21 80 23.14 | P a g e6 83 306 91 339 88 382 73 26.610 75 36.25 81 31.66 74 298 87 344 79 30.16 94 33.93 70 28.23 89 30Managerial Report 2:Use Multiple Regression Analysis to help management develop a Salary…
In a study of 1991 model cars, a researcher computed the least-squares regression line of price (in dollars) on horsepower. He obtained the following equation for this line. Price = – 6677 + 175× Horsepower Based on the least-squares regression line, what would we predict the cost to be of a 1991 model car with horsepower equal to 200? If the actual cost of a 1991 car with 200 horsepower is $27500, what is the residual? Is the predictionan underestimate or an overestimate? What does the slope of 175 and y intercept of (0,-6677) mean in the context of the problem? The coefficient of determination is ?2=84%. Interpret in the context of the problem. Find the correlation and interpret.
A medical experiment on tumor growth gives the following data table. X: 65, 70, 86, 100, 222. Y: 33, 35, 45, 52, 70. The least squares regression line was found. Using technology, it is determined that the total sum of squares (SST) was 898 and the sum of squares of regression (SSR) was 806.2. Calculate R2, rounded to three decimal places
The regional transit authority for a major metropolitan area wants to determine whetherthere is any relationship between the age of a bus and the annual maintenance cost. Asample of 10 buses resulted in the following data. Age of Bus (year) Maintenance Cost ($) 1 350 2 370 2 480 2 520 2 590 3 550 4 750 4 800 5 790 5 950 a. Develop the least squares estimated regression equation.b. Test to see whether the two variables are significantly related with α = .5.c. Did the least squares line provide a good fit to the observed data? Explain.d. Develop a 95% prediction interval for the maintenance cost for a specific bus thatis 4 years old.
A group of 13 healthy children and adolescents participated in a phycological study designed to analyze the relationship between age and average total sleep time (ATST). To obtain a measure for ATST (in minutes), recordings were taken on each subject on three consecutive nights and then averaged. Results are provided to you in Sleep&Age.xlsx Download Sleep&Age.xlsx file. (2 points) Determine the least-squares regression line for predicting average total sleep time using age. (2 points) Make a scatter plot of the data with ATST on the y-axis (vertical axis) and Age on the x-axis (horizontal axis) with least squares regression line overlaid on the top (i.e.: obtain the fitted line plot). Make sure to attach the plot below. (7 points) Check the assumptions for the simple linear regression. Attach any plots you used check the assumptions and comment on them. (7 points) We want to see if the average sleep time decreases as the children grow older. Write the appropriate null and…
1. Prior to being hired, the ve salespersons for a computer store were given a standard sales aptitude test. For each individual, the score achieved on the aptitude test and the number of computer systems sold during the first 3 months of their employment are shown in the attached image. (a) Determine the least-squares regression line and interpret its slope. (b) Estimate, for a new employee who scores 60 on the sales aptitude test, the number of units the new employee will sell in her first 3 months with the company. (c) Find the standard error of estimate. (d) Find the r-square of the model.
A chemical company, seeking to study the effect of extraction time on the efficiency of an extraction operation, obtained the data from a table: Fit a straight line to the data given with the least squares method and use it to predict the extraction efficiency that would be expected when the extraction time is 35 minutes. x = Extraction time (minutes)y = Extraction efficiency (%)
What is the least squares regression line . and what are the least squares point estimates ?Why is it dangerous to extrapolate outside the experimental region?
Define Least Squares Regression Unbiased Estimators α^, β^, σ^²?
A consumer buying cooperative tested the effective heating area of 20 differentelectric space heaters with different wattages. Here are the results. a. Compute the correlation between the wattage and heating area. Is there a direct oran indirect relationship?b. Conduct a test of hypothesis to determine if it is reasonable that the coefficient isgreater than zero. Use the .05 significance level.c. Develop the regression equation for effective heating based on wattage.d. Which heater looks like the “best buy” based on the size of the residual?
The y-interept bo of a least-squares regression line has a useful interpretation only if the x-values are either all positive or all negative. Determine if the statement is true or false. Why? If the statement is false, rewrite as a true statement.
1.The equation of the least-squres regressioin line 2. which point is outlier 3. remove the outlier and compute the least-square regression line for redicting the president's age from the first lady's age 4. is the outlier influential