Direction: Solve the problem write your complete solutions.A study is conducted on the relationship of the number of absences (X) and the grades (Y) of 15 studentsin Statistics.Using Pearson (r) Product Moment, test the hypothesis that there is no significantrelationship between absences and grades of the students in Statistics at .05 level of significance usingthe following data.Number of AbsencesGrades in StatisticsY190285803.75380656.7019548080751922891809.65A. Compute and interpret r.B. Determine the Coefficient of DeterminationC. Validate the r results using t

Given that Let X denotes the number of absence and Y denotes the Grade in statistics The data of X…

Answered: A study is conducted on the…

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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The following table shows the annual income, in dollars, and amount spent on vacation, in dollars, for a sample of 8 families. Income 41,100 53,000 27,400 34,400 65,800 98,100 72,000 56,700 Vacation 2,700 2,400 1,700 2,500 2,800 5,100 4,200 3,200 (a) Create a scatterplot of the data in the table. (b) Describe the association shown in the scatterplot created in part (a). (c) Calculate the coefficient of determination for the data, and interpret the value in context.
The weights (in pounds) of 6 vehicles and the variability of their braking distances (in feet) when stopping on a dry surface are shown in the table. Can you conclude that there is a significant linear correlation between vehicle weight and variability in braking distance on a dry surface? Use a =0.01. Welght, x Varlablity in braking distance, y 5960 5390 6500 5100 5870 4800 2 1.75 1.95 1.93 1.57 1.64 1.50 E Click here to view a table of critical values for Student's t-distribution. Setup the hypothesis for the test. Ho: P Vo Hạ: p Identify the critical value(s). Select the correct choice below and fill in any answer boxes within your choice. (Round to three decimal places as needed.) O A. The critical values are -to = and to = O B. The critical value is. Calculate the test statistic. t= (Round to three decimal places as needed.) What is your conclusion? a significant linear correlation between vehicle weight and variability in braking distance on a dry surface. There Venough evidence…
1)After training, six workers underwent a test and later measured the productivity of each of them. From the re- results presented in the table beside, calculate the correlation coefficient between the test score and the productivity.
What is the Pearson's r correlation coefficient for a sample set of data with values (1,2), (2,3), (3,4), (4,5)?
Subject Extroversion Neuroticism 1 43 49 2 46 53 3 48 67 4 48 57 5 48 56 6 50 48 7 51 60 8 51 41 9 53 51 10 58 47 11 62 41 12 63 51 13 63 30 14 63 28 15 67 55 16 67 47 17 67 39 7. What is the standard error of the correlation coefficient for the association of extroversion and neuroticism in personalities.xls? 8. Carry out a formal t-test for the association between extroversion and neuroticism in personalities.xls. H0: The population correlation coefficient is 0. HA: The population correlation coefficient is not 0. What is the value of the t-statistic corresponding to this test? (Report the absolute value. The t-distribution is symmetric, thus it is easier to compare the absolute value of the t-statistic with the positive values in statistical table C). 9. Carry out a formal t-test for the association between extroversion and neuroticism in personalities.xls. H0: The population correlation coefficient is 0. HA: The population correlation coefficient is not 0. What is the critical…
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?
The accompanying table shows the earnings per share (in dollars) and the dividends per share (in dollars) for 6 companies in a recent year. Complete parts (a) through (d) below. Click here to view the data table. Click here to view the table of critical values for the Pearson correlation coefficient. (a) Display the data in a scatter plot. Choose the correct.graph below. OA. OB. В. Oc. OD. 3- 9- Q Q 2- 6- 6- 3- 3- 04 3. Eamings per share (S) Eamings per share ($) 0. Eamings per share (S) Eamings per share (S) (b) Calculate the sample correlation coefficient r. - X Data Table (Round to three decimal places as needed.) (c) Describe the type of correlation, if any, and interpret the correlation in the context of the data. Earnings per share, x Dividends per share, y O 1.36 1 There is V linear correlation. 4.3 0.59 3.56 8.27 1.74 2.47 Interpret the correlation. Choose the correct answer below. 1.19 0.67 1.6 2.82 O A. Increases in companies' eamings per share cause their dividends per share…
The manager of a fleet of automobiles is testing two brands of radial tires and assigns one tire of each brand at random of eight cars and runs the cars until the tires wear out. The data (in kilometers) follow. Is there any difference in mean life of these two brands of tires? Car Brand Brand 36,925 34.318 42,280 1 45.300 36,240 3 4 35.500 32,100 31,950 38,015 37.210 48,360 5 47,800 38,200 37,810 33.500 33,215 6. 7 8. 1. Is this samples independent or paired samples? Explain. 2. Write Ho and H1 3. Calculate Test statistics(T). 4. What is the critical value (T from tables)? 5. What is your conclusions if a = 0.05? 6. Estimate with 90% confidence the different in the means. Which brand would you prefer based on this calculation?
. Dr. Hafen is doing research on the effects of study time (how many minutes students study) on test performance (their score on an exam). He hypothesizes that the amount of study time will impact an individual’s performance on the exam. Then Dr. Hafen collects data on 100 students. He collects data on their ‘study time’ and their ‘exam performance’, then runs a Pearson correlation. In your own words, please describe what Dr. Hafen’s null hypothesis would be and what Dr. Hafen’s alternative hypothesis would be. If Dr. Hafen makes a Type I error, what would that mean in the context of this study? If he makes a Type II error, what would that mean in the context of this study?
) Find the correlation between social intelligence score obtained with the obtained by Dutt Self-Concept inventory for the following data. Social Intelligence test and self concept scores Test 1 Test 2 (Social Intelligençe) (Self-Concept) 80 112 78 98 56 82 45 78 48 56 72 78 68 79 57 62 65 87 61 88
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…

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