3. Calculate Karl Pearson's Coefficient of correlation from the following data. X | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 28 Y | 25 | 26 | 27 | 18 | 17 | 16 | 18 | 19 | 25 | 23 4. The number of calls from motorists per day for roadside service was recorded for the month of December 2016. The results were as follows: 28 122 217 130 120 86 80 90 120 140 70 40 145 187 113 90 68 174 194 170 100 75 104 97 75 123 100 82 109 120 Set up a frequency table of 6 classes for this set of data values.
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### Part 1: Calculating Karl Pearson's Coefficient of Correlation #### Show more…
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Directions: Compute and interpret the Pearson Product Correlation Coefficient of the following problems: Students 1 2 3 4 5 6 7 8 Score in mathematics 30 32 31 40 38 35 37 42 Score in English 35 34 39 43 36 39 41 46 2. The table shows the time in hours spent studying and their scores on a test. Students Hours Scores 1 2.5 33 2 1 24 3 3 40 4 2 30 5 1.5 28 6 0.5 19 3. The table below shows the height in cm and weight in kg of 5 teachers. Students Height Weight 1 160 52 2 162 53 3 169 60 4 158 51 5 167 58
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Calculate both the Pearson and Spearman correlation coefficients for the data below. State whether there are significant correlations. Write a brief statement to explain the results generated by each correlation. Self-esteem: 10.00, 9.00, 8.00, 7.00, 7.00, 6.00, 6.00, 6.00, 4.00, 4.00. Grades: 83.00, 97.00, 92.00, 83.00, 93.00, 97.00, 5.00, 68.00, 59.00, 65.00
Adi S.
Explore provide two data sets from "Graphs in Statistical Analysis," by $F .$ J. Anscombe, the American Statistician, Vol. $27 .$ For each exercise,a. Construct a scatterplot. b. Find the value of the linear correlation coefficient $r$, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. c. Identify the feature of the data that would be missed if part (b) was completed without constructing the scatterplot.$$\begin{array}{l|c|c|c|c|c|c|c|c|c|c|c}\hline x & 10 & 8 & 13 & 9 & 11 & 14 & 6 & 4 & 12 & 7 & 5 \\\hline y & 9.14 & 8.14 & 8.74 & 8.77 & 9.26 & 8.10 & 6.13 & 3.10 & 9.13 & 7.26 & 4.74 \\\hline\end{array}$$
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