1. Use a basic linear model y = ax +b to fit the following data sets. Providethe ANOVA table, i.e. SSE, SSR, SST, RHeight 60Weight 132Height 69Weight 175Height 78Weight 223626716576212616364651557420166681361501701607514114571727018073195771851902062187980229234

Regression equation : The equation is written as Y= a + bx, where Y is the dependent variable (the…

Answered: 1. Use a basic linear model y= ax +b to…

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 state's park system statistical report for the 2014/2015 fiscal year gave the accompanying data on x = amount of money collected in user fees (in thousands of dollars) and y = operating cost (in thousands of dollars) for nine state parks in a certain district. User Fees (thousands of dollars) Operating Costs (thousands of dollars) 17 99 74 363 811 3,618 380 1,377 33 241 427 768 500 1,034 734 2,205 760 1,620 (a) Construct a scatterplot of the data. A scatterplot has 9 points. The horizontal axis is labeled "x" and ranges from approximately 0 to 900. The vertical axis is labeled "y" and ranges from 0 to 4,000. The points are plotted from left to right in a horizontal band, starting from the middle left of the diagram. The points are somewhat scattered, becoming more scattered from left to right, and are between the approximate horizontal axis values of 10 and 820 and between the approximate vertical axis values of 100 and 2,000. A scatterplot has 9 points. The horizontal axis is…
Suppose that prices of a certain model of new homes are normally distributed with a mean of $150,000. Use the 68.95–99.7 rule to find the percentage of buyers who paid: A) Between $149,1000 and $150,900 if the standard deviation is $900 B) between $150,000 and $153,800 if the standard deviation is $1900
Exercise 4 Construct a stem and leaf plot for the data: 27 33 22 34 15 16 45 4 59 25 38 34 35 34 46 34 54 46 53 47
The following table shows the median income, in thousands of dollars, of American families for 2003 through 2008. Year 2003 2004 Income (thousands of dollars) 52.68 54.06 2005 56.19 2006 58.41 2007 2008 61.36 61.52 (a) Plot the data. H H 62 62 61 61 60 60 59 59 58 58 57 57 56 56 55 55 54 54 53 53 2004 2005 2006 2007 2008 2004 2005 2006 2007 2008 H H. 62 62 61 61 60 60 59 59 58 58 57 57 56 56 55 55 54 54 53 53 2004 2005 2006 2007 2008 2004 2005 2006 2007 2008 (b) Use exponential regression to construct an exponential model for the income data. (Let t be years since 2003 and H be the median household income in thousand of dollars.) OH = 62.520 x 0.967 OH = 57.370 x 1.010 OH = 71.932 x 0.856 OH = 49.035 x 1.245 O H = 52.587 x 1.035 (c) What was the yearly percentage growth rate in median family income during this period? (Use the model found in part (b). Round your answer to one decimal place.)
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Consider this set of data: 4.5 3.2 3.5 3.9 3.5 3.9 4.3 4.8 3.6 3.3 4.3 4.2 3.9 3.7 4.3 4.4 3.4 4.2 4.4 4.0 3.6 3.5 3.9 4.0 Construct a stem and leaf plot by using the leading digit as the stem. Construct a stem and leaf plot by using each leading digit twice. Does this technique improve the presentation of the data? Explain.
Consider the “height-for-age” data below:Table 3: Height for age data Age in Years 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19Heightincm 102 107 112 116 121 126 130 136 143 149 154 158 161 162163a) Make a scatter plot of the data.b) Find the least square regression line and add it to the scatter plot in a). c) Find the coefficient of determination and state what it tells us about the relationship between age and height. d) Going by the relationship between Age and Height that you have established:i) What would the expected value of Height be if Age is 90 years? ii) Will the linear models be the best model for "height-for-age data"? JUSTIFY YOUR ANSWER!
The following data are the maximum temperatures (in degrees Fahrenheit) of 17 cities in the United states measured on the same day. 53 70 65 74 85 76 84 70 61 59 54 66 56 71 81 73 76 Construct a box and whisker plot for the data.
The following data are the ages (in years) of 19 economics teachers in a school district. 58 48 40 58 41 60 47 59 53 42 51 44 61 46 43 32 52 31 34 Construct a box and whisker plot for the data.
dsiplay the data in a scatter plot max weight,x 190 185 155 180 175 170 jump height, y 60 57 54 60 56 64 max height, x 150 160 160 180 190 210 jump height, y 52 51 49 57 59 64
The following table presents the daily high temperatures for the city of Macon, Georgia, in degrees Fahrenheit, for the winter months of January and February in a recent year. 58 51 71 58 59 67 52 73 64 64 58 67 53 53 63 75 76 61 52 52 68 67 48 55 69 63 58 56 56 63 74 65 57 53 48 70 76 51 65 60 61 Send data to Excel Construct a stem-and-leaf plot, using the digits 4, 5, 6, and 7 as the stems. Do not separate the answers with a comma. If there are no leaves, select the "None" button. 4 None 5 5 6 7 8 ME ›
The following table presents the daily high temperatures for the city of Macon, Georgia, in degrees Fahrenheit, for the winter months of January and February in a recent year. 67 52 73 58 51 71 58 59 64 64 58 67 53 53 63 75 76 61 52 52 68 67 48 55 69 63 58 56 56 63 74 65 57 53 48 70 76 51 65 60 61 Send data to Excel Construct a stem-and-leaf plot, using the digits 4, 5, 6, and 7 as the stems. Do not separate the answers with a comma. If there are no leaves, select the "None" button. 4 None 5 6 S 7 X

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