A statistical program is recommended.A study of emergency service facilities investigated the relationship between the number of facilities and the average distance traveled to provide the emergency service. The following table gives the data collected.ONumber ofFacilitiesDistance1.8-1.6-1.4-1.2-1.0.8-0.60.40.2-0.951116212730●AverageDistance(miles)(a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable.101.651.130.840.610.500.481520Number25 3035X1.8 T1.6-1.4-1.2 +1.EEL0.80.60.40.20.-5 10 15 20 25 30 351.81.61.41.21.0.80.60.40.20.5(b) Does a simple linear regression model appear to be appropriate? Explain.O Yes, the scatter diagram suggests that there is a linear relationship.O No, the scatter diagram suggests that there is no relationship.Ⓒ No, the scatter diagram suggests that there is a curvilinear relationship.✓10 15 20 25 30 35NumberⓇNumber(c) Develop an estimated regression equation for the data corresponding to a second-order model with one predictor variable. (Round your numerical values to four decimal places.)ŷ 1.7900 0.0485xⓇ✓353025201510-50. 0.2 0.4 0.6 0.81.Distance1.2 1.4 1.6 1.8

a) The independent variable is the number of facilities (x) and the dependent variable is the…

Answered: A statistical program is recommended. A…

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 table below shows the number of state-registered automatic weapons and the murder rate for several states in the U.S. 11.6 8.4 6.7 3.5 2.7 2.7 2.2 0.9 14.1 11.3 9.9 6.8 6.2 6.3 5.8 I = thousands of automatic weapons y = murders per 100,000 residents Keep in mind, the data in the table do not necessarily imply a direct causal link between the two variables. (In fact, can you think of any reasons why these variables may not be directly related to each other?) Also, the purpose of this question is not to make a political statement about guns or gun control. It's only to illustrate that data such as these sometimes have mathematical relationships that can be modeled with linear equations. Those relationships should always be questioned and examined carefully. With that said, these data can be modeled by the equation y = 0.87z + 3.95. Use this equation to answer the following; A) If this model is oconsistent, how many murders per 100,000 residents can be expected in a state with 8.7…
The authors of a paper presented a correlation analysis to investigate the relationship between maximal lactate level x and muscular endurance y. The accompanying data was read from a plot in the paper. X 390 740 760 y 3.90 r 3.90 5.00 5.30 4.10 3.60 6.20 OH₂: P = 0 Ha: P 0 1,465 1,470 1,495 2,190 t = P-value = 6.98 7.45 4.85 7.70 4.55 6.70 8.80 OH₂: P = 0 H₂: P = 0 Compute the value of the sample correlation coefficient, r. (Round your answer to four decimal places.) Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) State the conclusion in the problem context. O Fail to reject Ho. A positive correlation exists between maximum lactate level and muscular endurance. Reject Ho. A positive correlation exists between maximum lactate level and muscular endurance. O Fail to reject Ho. A positive correlation does not exist between maximum lactate level and muscular endurance. O Reject Ho. A…
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 0.01 and round all values to 4 decimal places. Driver Age Number of Driver Deaths per 100,000 65 27 34 27 76 24 55 34 71 21 49 24 34 36 27 19 Ho: ρ = 0Ha: ρ ≠ 0 Find the Linear Correlation Coefficient r = Find the p-value p-value = The p-value is Less than (or equal to) αα Greater than αα The p-value leads to a decision to Reject Ho Accept Ho Do Not Reject Ho The conclusion is There is a significant positive linear correlation between driver age and number of driver deaths. There is a significant linear correlation between driver age and number of driver deaths. There is a significant negative linear correlation between driver age and number of driver deaths. There is insufficient evidence to make a…
Part 2. Complete the following statements. A) The cumulative enrolment is the enrolment of the intervals smaller than the interval in question or equal to the latter. The graph of cumulative enrolment is represented by a function in B) The average, median and mode are three measures of of the C) The term refers to any data that deviates disproportionately from others. D) When the residual values are zero, then the correlation is called
In correlation analysis, the relationship between age of persons and his or her blood pressure is called as a. Simple Correlation b. Multiple Correlation c. No Correlation d. None of these
Suppose a clinical psychologist sets out to see whether sexual orientation is related to relationship longevity. He decides to measure relationship satisfaction in a group of homosexual couples and a group of heterosexual couples. He chooses the Marital Satisfaction Inventory because it refers to "partner" and "relationship" rather than "spouse" and "marriage," which makes it useful for research with both traditional and nontraditional couples. Higher scores on the Marital Satisfaction Inventory indicate greater relationship satisfaction. The psychologist administers the Marital Satisfaction Inventory to 53 couples-23 are homosexual couples and 30 are heterosexual couples. He wants to calculate the correlation between a couple's relationship satisfaction and sexual orientation. Which of the following types of correlations would be most appropriate for the psychologist to use? O A phi-correlation A Spearman correlation OA point-biserial correlation A Pearson correlation
Below are numbers of hours that a sample of 18 recent college graduates reported working last week. 55 48 46 64 68 43 37 44 63 54 45 48 52 39 50 51 65 38 Construct a box and whisker plot for the data.
What is the stem-and-leaf plot for the data set? Name Stanley Ben Prusiner Torsten Nils Wiesel Richard Axel 57 58 Robert Coleman Richards 59 James Alexander Mirrlees 60 O O Stem Stem 5 Stem 6 7 5 Stem 6 7 6 5 5 7 6 Age 55 7 Leaf 8 5 Leaf O O 0 O 5 Leaf O O Leaf 5 O O Name Age Robert Merton Solow 63 Stanley Cohen 64 Peter Mansfield 70 Vernon Lomax Smith 75 Richard Fred Heck 79 8 89 2 3 4 5 9 8 89 2 5 9 8 89 4 4 5 9 7 8 9 3 4 5 9
Given the scatter plot below, which of the following describes the strength and direction of the data? 10 Weak negative correlation Strong negative correlation Strong positive correlation Weak positive correlation
C. Amount of money spent 4. Construct a scatter plot for the following set of data. What correlation exists between the variables? Grade in calculus (x) and grade in entrepreneurship () 78 85 94 90 82 87 77 88 87 85 95 89 81 84 78 88 86 80
Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity (Orlando Sentinel). Hotel occupancy data for February in two consecutive years are as follows. Occupied Rooms Total Rooms Ho: P₁ P₂ #0 Ha: P1 - P2 = 0 Current Year Previous Year Ho: P1 - P2 = 0 Ha: P₁ P₂ #0 Ho: P₁ Ha: P₁ (a) Formulate the hypothesis test that can be used to determine if there has been an increase in the proportion of rooms occupied over the one-year period. (Let p₁ rooms occupied for current year and = P2 population proportion of rooms occupied for previous year.) - Ho: P₁ Ha: P₁ P₂ 0 1,750 1,440 1,800 = population proportion of

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