4. It is thought that house prices in certain areas are correlated with the quality of schoolsin the same areas. A study has been carried out in the ten provinces of Zambia whereaverage house prices (in thousands of dollars) and school quality indices ranging from 1(very poor) to 10 (excellent) have been recorded:Province123545678 9 10School index r 97 6 4 9House prices y 210 185 190 190 170 195 180 195 160 1507 8 5Σry = 12,240, Σv2 = 462, Σy = 335,975(a) (i) Construct a scatterplot of the data.(ii) Comment on the relationship between school quality index and house price.(b) A linear model of the form y = a + Br+ is fitted to the data, where the errorterms (c) independently follow a N(0,02) distribution with the variance o² beingan unknown parameter.(i) Determine the fitted line of the regression model.(ii) Predict the average house price in Zambia when school index is 10.(c) (i) Write down the ANOVA table.(ii) Perform an F-test to test the null hypothesis that there is no linear relationshipbetween house prices and school indices, based on the ANOVA table.(d) (i) Dertemine the percentage of variation in the average house prices in Zambia asexplained by school index.(ii) Calculate the coefficient of correlation and give an interpretation.

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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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2. Use the first 30 data values in Table 1. Test, at the 5 percent level of significance, the hypothesis that men's and women's mean (a) Cholesterol (b) Blood pressure are equal, Table 1 Student Weight Cholesterol Pressure Gender Student Weight Cholesterol Pressure Gender 147 213 127 30 129 194 184 114 2 156 174 116 M 31 111 104 112 193 110 32 156 191 118 4 127 196 110 F 33 155 221 107 F 144 220 130 34 104 212 111 6. 140 183 99 35 217 221 156 M 119 194 112 36 132 103 204 117 139 200 102 F 37 204 121 9 161 192 121 38 171 191 105 M 10 146 200 125 39 135 183 110 11 190 200 125 M 40 249 227 137 M 12 126 199 133 41 185 188 119 M 13 164 178 130 42 194 200 109 M 14 176 183 136 43 165 197 123 M 15 131 188 112 F 44 121 208 100 16 107 193 113 45 124 218 102 17 116 187 112 46 113 194 119 18 157 181 129 M 47 110 212 119 F 19 186 193 137 48 136 207 99 20 189 205 196 113 M 49 221 219 149 21 147 113 50 151 201 109 F 22 112 211 110 F 51 182 208 130 M 23 209 202 97 M 52 151 192 107 M 24 135 213 103 F…
10. Describe the pattern of data that is observed when there is a strong negative correlation between X and Y.
2. It is known that the student score data in a class is as follows: 9, 8, 6, 7, 7, 8, 5, 3, 6, 7 Describe the data in terms of central tendency!
12. MS. Pettipiece wants to see if there is correlation between the students overall Data mark (in percent) in his class and the Grade 11 math mark (in percent). The following data was collected and graphed/ Scatter Plot Collection 1 Collection 1 100 Grade11 Data 90- 67 71 60 79 80- 80 93 :- 70- 69 72 74 66 60- 9. 86 79 50 7 86 89 40 78 67 90 91 55 60 65 70 75 80 85 90 95 Grade11 10 63 70 201 10- 11 72 63 12 76 0- 13 70 75 -10- 14 84 86 -20 15 55 43 55 60 65 70 75 80 85 90 95 Grade11 - Data = 0.866Grade11 + 11: r= 0.50 Discuss the correlation between the Data mark and the Grade 11 mark. Make sure to reference the coefficients of correlation and/or determination in your discussion. Residual Data
A warden is motivated to reduce to aggressive interactions between inmates that sometimes occur in common areas like the yard. He tasks you, the prison psychologist, to find out what can be done to reduce aggressive behavior. Having known the prisoners, you hypothesize that there must be a relation between aggressiveness and having something to keep oneself busy. You get 10 volunteer inmates and give them a scale of aggression and then ask how many hours a week on average they spend with a hobby.The data in z-scoresare: C. Your spouse is a teacher at a highschool. You convince them to run the same scales on some of their students and the r value is .42. At ?=.01is that significantly different than for the one for the inmates?
Which set of data would probably show a strong positive linear correlation? a) the number of defective light bulbs produced and the time of the day when they were manufactured b) marks on a history test and the heights of the students c) the colour of cars sold and the annual income of the car buyers d) the height of corn in a field and the amount of precipitation during the growing season
Mr. James, president of Daniel-James Financial Services, believes that there is a relationship between the number of client contacts and the dollar amount of sales. To document this assertion, he gathered the following information from a sample of clients for the last month. Let X represent the number of times that the client was contacted and Y represent the valye of sales ($1000) for each client sampled. Number of Contacts (X) Sales ($1000) 14 24 12 14 20 28 16 30 23 30 b) compute the correlation coefficient and coeffcient of determination. Interpret the coefficients.
Which of these gives the best measure of central tendency for the given data?
3. Eight different aged patients are tested on their sugar levels in a laboratory to know whether there is any relationship between the age and blood sugar level. Using appropriate method, analyze the following data and give your comments on the same. Patients 10 15 20 25 30 35 40 45 Blood- 70 85 110 180 125 100 180 120 Sugar level
Given two sets of data X and Y, what does a Spearman's Correlation coefficient of 1 indicate about the relationship between X and Y?
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.

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