### Investigating the Relationship Between Brain Size and Individual IQResearchers sought to determine if there is a relationship between the size of a person's brain and their mental capacity, as represented by IQ scores. They selected a sample consisting of 5 females and 5 males and measured their MRI image pixel counts along with their IQ scores. The collected data is presented in the table below. Complete parts (a) through (d) based on this data.#### Data Table| | Females | | | Males | ||-------|---------|-------|-------|-------|-------|| | MRI | IQ | | MRI | IQ || 1 | 852,244 | 132 | | 949,395 | 140 || 2 | 833,868 | 132 | | 955,466 | 133 || 3 | 857,782 | 133 | | 955,003 | 139 || 4 | 790,619 | 135 | | 965,353 | 133 || 5 | 915,545 | 137 | | 1,079,550 | 141 |[Click the icon to view the critical values table.]### Part (a) - Scatter DiagramDraw a scatter diagram treating MRI count as the explanatory variable and IQ as the response variable. Choose the correct diagram below:1. **Option A** - MRI on the y-axis - IQ on the x-axis - Data points scattered, no clear linear relationship ![Option A Image](image-link)2. **Option B** - MRI on the y-axis - IQ on the x-axis - Data points scattered, no clear linear relationship ![Option B Image](image-link)3. **Option C** - MRI on the x-axis - IQ on the y-axis - Data points slightly suggest a positive linear relationship![Option C Image](image-link)**Correct Diagram:** Option C### Part (b) - Linear Correlation CoefficientCompute the linear correlation coefficient between MRI count and IQ. Are MRI count and IQ linearly related? Select the correct choice below and, if necessary, round the coefficient to three decimal places.- [ ] A. Yes, MRI count

Here Dependent variable (y) = Mental capacityIndependent variable (x) = MRISample size (n) = 10

Answered: (a) Draw a scatter diagram treating MRI…

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 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. Average Distance Number of Facilities (miles) 9 1.66 11 1.11 16 0.84 21 0.62 27 0.52 30 0.47 (a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable. 1.8 35 1.8 1.6 1.6 30 1.4- 1.4 1.2 25 1.2 1. 1. 20 0.8 0.8 0.6 15 0.6 0.4 0.4 10 0.2 0.2 0.- 5 0.- 5 10 15 20 25 30 35 0. 0.2 0.4 0.6 0.8 1. 1.2 1.4 1.6 1.8 10 15 20 25 30 35 Number Distance Number 1.8 1.6 1.4 - 1.2 1. 0.8 0.6 Distance Distance
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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. Number of Facilities Average Distance (miles) 9 1.67 11 1.11 16 0.84 21 0.62 27 0.50 30 0.47 (a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable. 35 1.8T 1.8 1.8 1.6 1.6 1.6- 30 1.4 1.4 1.4 25 1.2 1.2 1.2 1. 1. 1. 20 0.8 0.8 0.8 15 0.6 0.6 0.6 .. 0.4 0.4 0.4 10 0.2 0.2 0.2 0. 0. 0. 0. 0.2 0.4 0.6 0.8 1. 1.2 1.4 1.6 1.8 10 15 20 25 30 35 5 10 15 20 25 30 35 5 10 15 20 25 30 35 Distance Number Number Number (b) Does a simple linear regression model appear to be appropriate? Explain. O No, the scatter diagram suggests that there is a curvilinear relationship. O No, the scatter diagram suggests that there is no relationship. O Yes, the scatter diagram suggests that there is a linear…
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…
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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 6 10 14 18 22 26 30 r= Ho: p= 0 Ha: p=0 Find the Linear Correlation Coefficient Find the p-value p-value= Attendence 151 146 146 145 The p-value is 138 137 137 O Less than (or equal to) a O Greater than a The p-value leads to a decision to Accept Ho Reject Ho Do Not Reject Ho The conclusion is There is insufficient evidence to make a conclusion about the linear correlation between ticket price and attendance. There is a significant negative linear correlation between ticket price and attendance. There is a significant positive linear correlation between ticket price and attendance. There is a significant linear correlation between ticket price and attendance.
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CORRELATION - PEARSON

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