Answer the following questions about the relationships between pairs of variables and the values of r, the sample correlation coeffi be the correct answer for more than one question. (a) Which data set has an apparent, positive, but not perfect, linear relationship between its two variables? X (Choose one) (b) Which data set indicates the strongest negative linear relationship between its two variables? (Choose one) ▼ (c) For which data set is the sample correlation coefficient closest to 0? (Choose one) ▼ (d) For which data set is the sample correlation coefficient requal to 1? (Choose one) 2.
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- 9. What is the expression or formula for sample correlation coefficient rxy? For the data set below (table 1), solve for the sum of products for x and y, or Sxy. (see attached picture)estion 3 of 38 university and gathers their freshman year GPA data and the high school SAI score reported on each of their college applications. He produces a scatterplot with SAT scores on the horizontal axis and GPA on the vertical axis. The data has a linear correlation coefficient of 0.506701. Additional sample statistics are summarized in the table below. Variable Sample Sample standard Variable description mean deviation high school SAT score x 1504.291401 Sx = 105.782904 %3D y freshman year GPA y = 3.240805 Sy = 0.441205 r = 0.506701 slope 0.002113 Determine the y-intercept, a, of the least-squares regression line for this data. Give your answer precise to at least four decimal places. tems of use Thelp about us குசங் careers 2:30 PM 10/24/20 o耳 国 @ hpab! ourses The accompanying technology output was obtained by using the paired data consisting of foot lengths (cm) and heights (cm) of a sample of 40 people. Along with the paired sample data, the technology was also given a foot length of 13.6 cm to be used for predicting height. The technology found that there is a linear correlation between height and foot length. If someone has a foot length of 13.6 cm, what is the single value that is the best predicted height for that person? "se Hom E Click the icon to view the technology output. abus The single value that is the best predicted height is cm. endar (Round to the nearest whole number as needed.) entation ktbook a-F on unouncem ssignment: cudy Plan radebook Hydrogen Report.pdf Enter your answer in the answer box. Screen Shot 20-11...9.53 P 5,981 10 tv MacBook Pro (5
- Part A: What is the most likely value of the correlation coefficient of the data in the table? Based on the correlation coefficient, describe the relationship between time and surface area of the lake. [Choose the value of the correlation coefficient from −1, −0.98, −0.5, −0.02.] Part B: What is the value of the slope of the graph of surface area versus time between 15 and 20 days, and what does the slope represent? Part C: Does the data in the table represent correlation or causation? Explain your answer.Suppose a car's city miles per gallon rating can be determined by the car's weight. The means and standard deviations of these variables and the correlation coefficient between them are reported in the following table: What proportion of the variability in cars' miles per gallon ratings is explained by the least squares line with weight?A company wishes to know whether advertising expenditure is related to sales volume. Using the past two years of data for these two variables, they determined the correlation coefficient is +0.93. This indicates 23 Multiple Choice 1 Dints awarded Scored a strong indirect relationship between advertising expenditure and sales volume. References a weak indirect relationship between advertising expenditure and sales volume. a strong direct relationship between advertising expenditure and sales volume. a weak direct relationship between advertising expenditure and sales volume.
- The accompanying technology output was obtained by using the paired data consisting of foot lengths (cm) and heights (cm) of a sample of 40 people. Along with the paired sample data, the technology was also given a foot length of 23.5 cm to be used for predicting height. The technology found that there is a linear correlation between height and foot length. If someone has a foot length of 23.5 cm, what is the single value that is the best predicted height for that person? The single value that is the best predicted height is _____cm. The regression equation is Height=50.8+3.20 Foot Length Predictor Coef SE Coef T P Constant 50.82 11.65 4.36 0.000 Foot Length 3.1982 0.4903 6.52 0.000 S=5.50372 R-Sq=71.7% R-Sq(adj)=71.0% Predicted Values for New Observations New Obs Fit SE Fit 95% CI 95% PI 1 125.978 1.744 (121.356, 130.600) (114.681, 137.275) Values of Predictors…The accompanying technology output was obtained by using the paired data consisting of foot lengths (cm) and heights (cm) of a sample of 40 people. Along with the paired sample data, the technologgy was also given a foot length of 10.8 cm to be used for predicting height. The technology found that there is a linear correlation between height and foot length. If someone has a foot length of 10.8 cm, what is the single value that is the best predicted height for that person? H Click the icon to view the technology output. The single value that is the best predicted height is cm. Technology Output (Round to the nearest whole number as needed.) The regression equation is Height - 67.5 +5.15 Foot Length Predictor Coef SE Coef Constant 67.52 11.07 6.10 0.000 Foot Length 5.1508 0.4817 10.69 0.000 S-5.50271 R-Sq = 73.18 R-Sq (adj) = 72.44 Predicted Values for New Observations New Obs Fit SE Fit 95 CI 954 PI 123.149 1.605 (119.732, 126.566) (111.996, 134.302) Values of Predictors for New…For which of these research situations would you most likely calculate a Pearson's r correlation coefficient? independent variable = age; dependent variable = memory test score independent variable = type of car owned; dependent variable = money spent on gasoline per week independent variable = college major; dependent variable = GPA independent variable = city of residence; dependent variable = miles driven per week
- Fifty-four wild bears were anesthetized, and then their weights and chest sizes were measured and listed in a data set. Results are shown in the accompanying display. Is there sufficient evidence to support Correlation Results the claim that there is a linear correlation between the weights of bears and their chest sizes? When measuring an anesthetized bear, is it easier to measure chest size than weight? If so, does it appear that Correlation coeff, r: 0.959614 a measured chest size can be used to predict the weight? Use a significance level of = 0.05. Critical r: +0.2680855 P-value (two tailed): 0.000 Но: Р H1:P (Type integers or decimals. Do not round.) Identify the correlation coefficient, r. (Round to three decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed.) O A. There is one critical value at r= . B. There are two critical values at r= ± Is there sufficient evidence to support the claim that there is a linear correlation between…The accompanying technology output was obtained by using the paired data consisting of foot lengths (cm) and heights (cm) of a sample of 40 people. Along with the paired sample data, the technology was also given a foot length of 17.8 cm to be used for predicting height. The technology found that there is a linear correlation between height and foot length. If someone has a foot length of 17.8 cm, what is the single value that is the best predicted height for that person? Click the icon to view the technology output. The single value that is the best predicted height is (Round to the nearest whole number as needed.) cm. Technology Output The regression equation is Height = 53.3+4.25 Foot Length Predictor Constant Coef SE Coef 53.28 11.44 Foot Length 4.2537 0.4699 S = 5.50739 R-Sq=72.3% R-Sq (adj) = 71.6% T 4.66 9.05 Predicted Values for New Observations New Obs 1 Fit SE Fit 128.996 1.733 (124.309, 133.683) 95% CI Foot New Obs Length 1 17.8 0.000 0.000 Values of Predictors for New…Data collected from a sample of 8 students relating study time (x in hours per week) and leisure time (y in hours per week) yielded the information shown below. What is the value of the sample correlation coefficient? Enter your answer accurate to TWO (2) decimal places. X= 59.37 Y = 4.25 SS= 1843.87 SS, = -49.75 SS, = 7.5