Yessica thought that there was a correlation between the amount of time students slept the eveningbefore their final exam and their final exam grade. She took an SRS of 5 students in her class andrecorded the sleep time the evening before their final exam, and their final exam score.Let the sleep time the evening before the final exam represents the explanatory variable, and the finalexam score be the response variable. Below is a sample data set.1213r =4x (hour)593865Calculate the sample correlation coefficient (r) to three decimal places.Enter an integer or decimal number [more..]Why would we expect the correlation coefficient to be positive?O There is no change in exam score to sleep timeAs the sleep time decreases, exam score increasesAs the sleep time increases, exam score increasesAs the sleep time increases, exam score decreases331y (score)64945410075

Answered: Image /qna-images/answer/1db61dcc-68bd-484d-b57e-5ad434266206.jpg

Answered: 1 2 13 r= 4 5 9 3 8 6 5 Calculate 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 rankings of a sample of professional golfers in both driving distance and putting are shown. Driving Golfer Putting Distance Golfer A 1 5 Golfer B 5 10 Golfer C 4 6 Golfer D 9 2 Golfer E 6 7 Golfer F 10 3 Golfer G 2 8 Golfer H 3 9 Golfer I 7 4 Golfer J 8 1 What is the rank correlation between driving distance and putting for these golfers? (Round your answer to three decimal places.) r₂ = Test for significance of the correlation coefficient at the 0.10 level of significance. State the null and alternative hypotheses. H₁: P₁ = 0 H₂: P₂ #0 OH :P #0 H₂:0₂ = 0 OH:P >0 H₁₂1 P₂ = 0 OHP, 20 H₂: P 0 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value =
A grocery store manager did a study to look at the relationship between the amount of time (in minutes) customers spend in the store and the amount of money (in dollars) they spend. The results of the survey are shown below. Time 10 8 6 13 19 18 27 10 7 Money 58 25 41 51 84 81 87 45 15 Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation are:H0:H0: == 0H1:H1: ≠≠ 0 The p-value is: (Round to four decimal places) Use a level of significance of α=0.05α=0.05 to state the conclusion of the hypothesis test in the context of the study. There is statistically insignificant evidence to conclude that there is a correlation between the amount of time customers spend at the store and the amount of money that they spend at the store. Thus, the use of the regression line is not appropriate. There is statistically significant evidence to conclude that there is a correlation between the amount of time…
Listed below are paired data consisting of amounts spent on advertising (in millions of dollars) and the profits (in millions of dollars). Determine if there is a significant linear correlation between advertising cost and profit Use a significance level of 0.01 and round all values to 4 decimal places. Advertising Cost Profit 3 21 4 16 5 29 17 7 28 8 21 Ho: p = 0 Ha: p +0 Find the Linear Correlation Coefficient r= Find the p-value p-value = The p-value is Less than (or equal to) a OGreater than a The p-value leads to a decision to Do Not Reject Ho OReject Ho OAccept Ho
Example 3. Calculate Correlation Coefficient from the data given below by direct method i.e., without taking deviations of items from actual or assumed mean Roll No. of Students : Marks in Maths : Marks in Stat : 2 3 4. 48 35 17 23 47 45 20 40 25 45.
A realtor studies the relationship between the size of a house (in square feet) and the property taxes (in $) owed by the owner. The table below shows a portion of the data for 20 homes in a suburb 60 miles outside of New York City. [You may find it useful to reference the t table.] a-1. Calculate the sample correlation coefficient rxy. (Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.) a-2. Interpret rxy. multiple choice 1 The correlation coefficient indicates a positive linear relationship. The correlation coefficient indicates a negative linear relationship. The correlation coefficient indicates no linear relationship. b. Specify the competing hypotheses in order to determine whether the population correlation coefficient between the size of a house and property taxes differs from zero. multiple choice 2 H0: ρxy = 0; HA: ρxy ≠ 0 H0: ρxy ≥ 0; HA: ρxy < 0 H0: ρxy ≤ 0; HA: ρxy > 0 c-1. Calculate the…
A random sample of ten professional athletes produced the following data. The first row is the number of endorsements the athlete has and the second row is the amount of money made (in millions of dollars) by the athlete.   What is the linear correlation coefficient? Round to three decimal places. Number of Endorsements 0 3 2 1 5 5 4 3 0 4 Profit (in Millions) 2 8 7 3 13 12 9 9 3 10
The data obtained in a study on the number of absences in virtual class and the final grades of seven randomly selected students from a mathematics class. The data are shown below. To determine the significance of the correlation coefficient at 0.05 level of significance, what is the calculated or computed value (CV)? Final grade y Number of absences x in a virtual class 6. 82 86 15 43 9. 74 58 5 90 78 а. -1.59 b. -2.32 с. 2.32 d. 1.59
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
What is the relationship between the amount of time statistics students study per week and their final exam scores? The results of the survey are shown below. Time |127 2 10 0 16 15 13 12 Score 93 67 51 78 64 89 91 96 93 a. Find the correlation coefficient: b. The null and alternative hypotheses for correlation are Round to 2 decimal places. Round to four decimal places) The p-value is:
The numbers of pass attempts and passing yards for seven professional quarterback for a recent year are listed in the table below. Round all answers to the nearest 1000th. Pass attempts (x) 449 565 528 197 670 351 218 Passing Yards (y) 3265 4018 3669 1141 5177 2362 1737 Calculate the sample correlation coefficient, r. Describe the type of correlation coefficient and interpret the correlation in the context of the data.

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