Miles per gallon versus speed (miles per hour) for a new model automobile is fitted with a least squares regression line. Following is computer output of the statistical analysis of the data. Dependent variable: Miles per gallon Source df Sum of Squares Mean Square F-ratio Regression 1 199.34 199.34 3.79 Residual 315.54 5.59 Variable Coefficient SE Coef t-ratio P Constant 38.929 5.651 6.89 0.000 Speed -0.2179 0.112 -1.95 0.099 R-Sq = 38.7% S = 7.252 with 8 R-Sq(adj) = 28.5% 2 = 6 degrees of freedom
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- 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 linesAs part of a class project at a large university, Amber selected a random sample of 12 students in her major field of study. All students in the sample were asked to report their number of hours spent studying for the final exam and their score on the final exam. A regression analysis on the data produced the following partial computer output. Amber wants to compute a 95 percent confidence interval for the slope of the least squares regression line in the population of all students in her major field of study. Assuming that conditions for inference are satisfied, which of the following gives the margin of error for the confidence interval?Image and choices ProvidedWhat is the least squares regression line . and what are the least squares point estimates ?Why is it dangerous to extrapolate outside the experimental region?
- 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…A scatterplot of student height, in inches, versus corresponding arm span length, in inches, is shown below. One of the points in the graph is labeled A. If the point labeled A is removed, which of the following statements would be true? The slope of the least squares regression line is unchanged and the correlation coefficient increases. The slope of the least squares regression line is unchanged and the correlation coefficient decreases. The slope of the least squares regression line increases and the correlation coefficient increases. The slope of the least squares regression line increases and the correlation coefficient decreases. The slope of the least squares regression line decreases and the correlation coefficient increases.An article included a summary of findings regarding the use of SAT I scores, SAT II scores, and high school grade point average (GPA) to predict first-year college GPA. The article states that "among these, SAT II scores are the best predictor, explaining 17 percent of the variance in first-year college grades. GPA was second at 15.2 percent, and SAT I was last at 13.1 percent." If the data from this study were used to fit a least squares line with y = first-year college GPA and x = high school GPA, what would the value of r2 have been? R2 ____________________%
- The following data represents the number of Christmas Trees sold per day at a local Christmas Tree Farm and their prices. Price of Tree (x) Units/# of Trees Sold (y) 34 4 36 4 32 6 35 5 31 9 38 2 39 1 1. Compute the sample correlation coefficient between the price and the number of trees sold 2. Develop a least-squares estimated regression line 3. Compute the coefficient of determination and explain its meaning 4. Test to see if x and y are significantly related. Use a significance level of α = 0.01. -Test for Overall Significance using P-Value and Critical Value Methods -Test for Individual Significance using P-Value and Critical Value Methods *Excel can be used to solve this problemSuppose a doctor measures the height, x, and head circumference, y, of 11 children and obtains the data below. The correlation coefficient is 0.904 and the least squares regression line is y=0.208x+11.736. Complete parts (a) and (b) below.A manufacturer of salad dressings uses machines to dispense liquid ingredients into bottles that move along a filling line. The machine works properly when 24.12 ounces of liquids are dispensed. Suppose that the average amount dispensed in a particular sample of 41 bottles is 20.65 ounces with a variance of 1.48 ounces squared. What is the test statistic to test the null hypothesis that the salad dressings machine dispenses 24.12 ounces of liquid ingredients against the alternative that the salad dressings machine dispenses liquid ingredients other than 24.12 ounces?
- The report “airline Quality rating 2016” (www.airlinequalityrating.com/reports/2016_aQr_Final.pdf,retrieved april 22, 2017) included the accompanying data onthe on-time arrival percentage and the number of complaintsfiles per 100,000 passengers for U.S. airlines.The report did not include data on the number of complaintsfor two of the airlines. Use the given data from the otherairlines to fit the least squares regression line and use it topredict the number of complaints per 100,000 passengersfor Spirit and for Virgin America.When we use a least-squares line to predict y values for x values beyond the range of x values found in the data, are we extrapolating or interpolating? Are there any concerns about such predictions?A business school is conducting a study to investigate whether a students’ scores on a placement test can be used to predict students’ starting salaries. Based on a random sample of 200 graduates of the business school, a 98 percent confidence interval for the slope of the linear regression line relating placement scores and starting salary is calculated to be (315,336). Assume the conditions for inference are met. Which of the following is a correct interpretation of the confidence interval? There is a 98 percent probability that the slope of the population regression line is between $315 per point and $336 per point. A Ninety-eight percent of the time, a 10-point increase in placement score will result in an average increase between $3,150 and $3,360 in starting salary. B We are 98 percent confident that a 10-point increase in placement score will result in a predicted increase in starting salary of between $3,150 and $3,360. C We are 98 percent…