A department of transportation's study on driving speed and miles per gallon for midsize automobiles resulted in the following data:| Speed (Miles per Hour) | 29 | 51 | 40 | 56 | 30 | 24 | 61 | 25 | 51 | 56 ||------------------------|----|----|----|----|----|----|----|----|----|----|| Miles per Gallon | 29 | 25 | 25 | 22 | 37 | 31 | 33 | 21 | 36 | 25 |**Task:**Compute the sample correlation coefficient (to 2 decimals and enter negative value as negative number).\[ \text{Input box for correlation coefficient} \]**Prompt:**What can you conclude, based on your computation of the sample correlation coefficient?\[ \text{Dropdown menu with options} \]**Options for interpretation:**(i) For driving speeds between 24 and 61 miles per hour, higher speeds are associated with higher miles per gallon.(ii) For driving speeds between 24 and 61 miles per hour, higher speeds are associated with lower miles per gallon.(iii) For driving speeds between 24 and 61 miles per hour, lower speeds are associated with lower miles per gallon.(iv) There is no relationship between driving speed and miles per gallon.\[ \text{Dropdown menu for selecting the answer} \]Use the provided data to analyze the relationship between driving speed and fuel efficiency, and select the correct conclusion from the options based on your calculation.

Answered: A department of transportation's study…

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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1. A professor is interested in how attendance is related to grades her class. She goes through her records and determines each student’s final average and the number of days absent. The scores for her sample are given in the table below. a. Construct a scatter plot of the relationship between final averages and the number of days absent. b. Is there a significant relationship between final averages and the number of days absent? Calculate and interpret the correlation and report it in proper APA format. c. Compute r2 for the data. What percent of the variability in final averages is accounted for by the number days absent?
Listed below are amounts of bills for dinner and the amounts of the tips that were left. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of a = 0.01. If everyone were to tip with the same percentage, what should be the value of r? Bill (dollars) Tip (dollars) 31.80 52.94 85.82 102.16 60.17 111.77 D 5.46 6.07 15.82 15.40 11.15 20.32 Construct a scatterplot. Choose the correct graph below. O A. O B. Oc. D. Q 25- 25- 25 0- 30 0- 30 Bill Amount ($) 0+ 30 Bill Amount (S) 0- 30 Bill Amount (S) 120 120 120 Bill Amount (S) 120 The linear correlation coefficient is r= 0.954 (Round to three decimal places as needed.) Determine the null and alternative hypotheses. Ho: p H,: P (Type integers or decimals. Do not round.) Tip Amount ($) ip Amount ($) Tip Amount ($) Tip Amount ($)
A data set contains information on the grams of fat and number of calories in 24 different fast foods. The correlation coefficient between fat content and calories is determined to be -0.63. Calculate the p-value for the test of significance.
Is the correlation about 0.02, 0.22, or 0.92 with the outlier? Without this outlier, is the correlation about 0.18, 0.78, or 0.98? Is the outlier is an influential point to the correlation?
A study of bone density on 5 random women at a hospital produced the following results. Age 37 45 49 57 65 Bone Density 350 340 335 325 320 step 1: Calculate the correlation coefficient, r. Round your answer to six decimal places. step 2: Calculate the correlation coefficient, r. Round to 3 decimal places. step 3: positive, negative, or no correlation
A personnel manager wants to find out if a test carried out during an employee’s interview and a skills assessment at the end of basis training is a guide to performance after working for the company for one year. The table below shows the results of the interview test of 10 employees and their performance after one year. Please provide the Pearson r correlation coefficient for the indicated data. How would you rate the correlation coefficient (strong, moderate, weak)? Employee A B C D E F G H I J Interview test, x % 65 71 79 77 85 78 85 90 81 62 Performance after one year, y % 65 74 82 64 87 78 61 65 79 69
You wish to determine if there is a linear correlation between the age of a driver and the number of driver deaths. The following table represents the age of a driver and the number of driver deaths per 100,000. Use a significance level of 0.05 and round all values to 4 decimal places. Driver Age Number of Driver Deaths per 100,000 65 26 33 25 38 34 42 30 17 34 80 20 30 35 71 29 65 28 50 30 Но: р %3D 0 На: р 2 0 Find the Linear Correlation Coefficient r = Find the p-value p-value The p-value is O Less than (or equal to) a O Greater than a The p-value leads to a decision to O Reject Ho О Аcсеpt Ho O Do Not Reject Ho The conclusion is There is a significant linear correlation between driver age and number of driver deaths. O There is insufficient evidence to make a conclusion about the linear correlation between driver age and number of driver deaths. O There is a significant negative linear correlation between driver age and number of driver deaths. O There is a significant positive…
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…
A data set contains information on the grams of fat and number of calories in 25 different fast foods. The correlation coefficient between fat content and calories is determined to be 0.69. Calculate the p-value for the test of significance.
A data set contains information on the grams of fat and number of calories in 25 different fast foods. The correlation coefficient between fat content and calories is determined to be 0.62. Calculate the p-value for the test of significance.
Listed below are amounts of bills for dinner and the amounts of the tips that were left. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of a = 0.05. If everyone were to tip with the same percentage, what should be the value of r? Bill (dollars) Tip (dollars) 69 Construct a scatterplot. Choose the correct graph below. O A. 25- 04 30 1.6 Bill Amount (S) 30.39 49.64 84.71 94.16 62.06 101.95 6.07 8.67 11.03 12.99 9.31 13.46 120 Q ✔ The linear correlation coefficient is r= (Round to three decimal places as needed.) Determine the null and alternative hypotheses. Ho: P H₁: p (Type integers or decimals. Do not round.) The test statistic is t = (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) Because the P-value of the linear correlation…
Based on the scatter plot below on data from Central Harlem, would you estimate the correlation coefficient to be positive, negative, or close to 0? Select the correct correlation and corresponding explanation. Household Income vs. Serious Crime Rate (per 1,000 residents) CentralHarlem Data Scatter Plot: 22- 21- 20- 19- 18- 17 16- 15 32 34 36 38 40 42 Household_Income (thousands) Positive; As the household income increases, the serious crime rate decreases. A. Negative; As the household income increases, the serious crime rate decreases. B. Positive; As the household income increases, the serious crime rate also increases. OC. Negative; As the household income increases, the serious crime rate also increases. D. Close to 0; There is no linear correlation between household income and serious crime rate. E. A Moving to another question will save this response. Question 24 of 25 MacBook Air Serious crime_rate

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