ASSESSMENTDirection: Read, analyze and answer the following problems below. Show allnecessary solutions.1. The data below show the age and systolic blood pressure of six randomly selectedsubjects. Compute for the correlation coefficient and interpret the results.Age (x)Pressure (y)434856616770128120135143141152

From the provided information x y xy x2 y2 43 128 5504 1849 16384 48 120 5760 2304 14400…

Answered: Direction: Read, analyze and answer 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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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 29 20 30 17 23 12 14 Money124 79 104 74 84 58 62 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 insignificant evidence to conclude that a customer who spends more time at the store will spend more…
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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 21 27 Money 82 132 6 20 16 9 14 22 16 66 49 67 87 90 a. Find the correlation coefficient: r = b. The null and alternative hypotheses for correlation are: Ho: ? ✓-0 H₁: ? ✓ +0 The p-value is: Round to 2 decimal places. (Round to four decimal places) c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. O 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. O There is statistically significant evidence to conclude that there is a correlation between the amount of time customers spend at the store and…
The data shown below consists of the price (in dollars) of 7 events at a local venue and the number of people who attended. Determine if there is significant linear correlation between ticket price and number of attendees. Use a significance level of 0.05 and round all values to 4 decimal places. Ticket Price Attendence 6 140 10 129 14 126 18 164 22 150 26 179 30 186 Ho: ρ = 0Ha: ρ ≠ 0 Find the Linear Correlation Coefficient r = Find the p-value p-value = The p-value is Greater than αα Less than (or equal to) αα The p-value leads to a decision to Reject Ho Accept Ho Do Not Reject Ho The conclusion is There is a significant linear correlation between ticket price and attendance. There is a significant negative linear correlation between ticket price and attendance. There is insufficient evidence to make a conclusion about the linear correlation between ticket price and attendance. There is a significant positive linear correlation…
You wish to determine if there is a positive 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 60 35 55 23 22 32 40 36 40 18 38 33 80 28 37 25 Ho: ρ = 0Ha: ρ > 0 Find the Linear Correlation Coefficient r = ? Find the p-value p-value = The p-value is ? Greater than αα or Less than (or equal to) α
Susan, a personal trainer, was interested in whether or not there was a linear relationship between the number of visits her clients made to the gym each week and the average amount of time her clients exercised per visit. She took the following data. Client 1 2 3 4 5 6 Number of visits per week 1 3 4 2 3 5 Average time spent exercising per visit (hours) 2 1.5 1 2 2 0.30 If the correlation coefficient is –1, which answer is correct? Group of answer choices The slope of the best fit line is positive. The data fit exactly on a line with negative slope. The slope of the best fit line is –1. The data fit exactly on a line with positive slope.
You wish to determine if there is a positive 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 77 28 47 31 74 32 65 32 26 20 79 36 52 29 Ho: ρ = 0Ha: ρ > 0 Find the Linear Correlation Coefficient r = Find the p-value p-value =
Avg. Weight of Americans 200+ 180 160 140 120 100 1950 1960 1970 1980 1990 2000 2010 Year (a) What variable is the explanatory variable and which is the response variable? (b) Describe the general association of the plot. (c) Does a correlation of -0.25 make sense for this scatterplot? Explain
The data shown below consists of the price (in dollars) of 7 events at a local venue and the number of people who attended. Determine if there is significant linear correlation between ticket price and number of attendees. Use a significance level of 0.01 and round all values to 4 decimal places. Ticket Price Attendence 6 125 10 147 14 193 18 165 22 125 26 110 30 187 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 Do Not Reject Ho Accept Ho Reject Ho The conclusion is There is a significant linear correlation between ticket price and attendance. There is insufficient evidence to make a conclusion about the linear correlation between ticket price and attendance. There is a significant positive linear correlation between ticket price and attendance. There is a significant negative linear correlation…
The cost of a leading liquid laundry detergent in different sizes is given below Size (ounces) Cost ($) 16 3.99 32 4.99 64 5.99 200 10.99 A. Write a brief description of the association.B. What is the strength of the relationship between the size of the laundry detergent and the cost? Use the correlation coefficient in your explanation.C. State the model for the size of the laundry detergent and the cost.D. Interpret the slope of your model in context.E. Interpret the intercept of your model in context. F. In the context of the problem is it better to have a positive or negative residual. Explain. G. Use the linear model to predict the cost of 300 ounces of laundry detergent.
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 30 14 23 25 21 28 8 Money 127 80 98 123 77 106 32 Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation are:H0:H0: ? ρ r μ == 0H1:H1: ? r ρ μ ≠≠ 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 significant evidence to conclude that a customer who spends more time at the store will spend more money than a customer who spends less time at the store. There is statistically significant 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…
You wish to determine if there is a positive 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 66 20 75 32 44 31 44 36 19 23 65 29 61 22 58 25 71 27 Ho: ρ = 0Ha: ρ > 0 Find the Linear Correlation Coefficient r = Find the p-value p-value =

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