# Scatter plots and calculating correlation 4. Scatter plots and calculating correlation Aa Aa Suppose you are...

Scatter plots and calculating correlation       4. Scatter plots and calculating correlation Aa Aa Suppose you are given the following five pairs of scores: X Y 6 1 9 2 6 3 8 4 10 Create a scatter plot of these scores in the following diagram. For each of the five (X, Y) pairs, click on the plotting symbol (the black x) in the upper right corner of the tool, and drag it to the appropriate location on the grid. Y 10 Data Points Х 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 8 9 10
Y 10 Data Points ON 8 7 6 5 4 3 N 1 0 1 2 3 4 5 6 7 8 9 10 X Clear All Based on your scatter plot, you would expect the correlation to be The mean X score is Mx = and the mean y score is My =
Now, using the values for the means that you just calculated, fill out the following table by calculating the deviations from the means for X and Y, the squares of the deviations, and the products of the deviations. Scores X Y 6 1 Deviations Squared Deviations Products X - MX Y - My (X - Mx)2 (Y - My) (X - Mx) (Y - My) 9 N 6 3 8 4 1 10 The sum of squared deviations for X is SSX of products is SP = . The sum of squared deviations for Y is ssy = . The sum Because the sign of the sum of products is the sign of the Pearson correlation negative positive The Pearson correlation is r = Look at your scatter plot again. If you excluded the point (1, 10), you would expect the recalculated Pearson correlation to be because
Now, using the values for the means that you just calculated, fill out the following table by calculating the deviations from the means for X and Y, the squares of the deviations, and the products of the deviations. Scores Deviations Squared Deviations Products X Y X - MX Y - My (X - Mx)2 (Y - My) (X - Mx) (Y - My) 6 1 9 2. 6 3 8 4 1 10 II . The sum of squared deviations for Y is SS, . The sum The sum of squared deviations for X is SSx of products is SP = Because the sign of the sum of products is the sign of the Pearson correlation will be positive will be negative depends on the signs of Sex and say The Pear SOIT COITETALIUM IST Look at your scatter plot again. If you excluded the point (1, 10), you would expect the recalculated Pearson correlation to be because
Now, using the values for the means that you just calculated, fill out the following table by calculating the deviations from the means for X and Y, the squares of the deviations, and the products of the deviations. Scores Deviations Squared Deviations Products X Y X - MX Y - My (X - Mx)2 (Y - My) (X - Mx) (Y - My) 6 1 9 2. 6 3 8 4 1 10 II . The sum of squared deviations for Y is SS, . The sum The sum of squared deviations for X is SSx of products is SP = Because the sign of the sum of products is the sign of the Pearson correlation The Pearson correlation is r = -0.03 0.83 -0.83 cluded the point (1, 10), you would expect the recalculated Pearson -1.63 because Look at your scatter plot again correlation to be
Now, using the values for the means that you just calculated, fill out the following table by calculating the deviations from the means for X and Y, the squares of the deviations, and the products of the deviations. Scores X Y Deviations Squared Deviations Products X - MX Y - My (X - Mx)2 (Y - My)2 (X - Mx)(Y - My) 6 1 9 2. 6 لیا 8 4 1 10 . The sum of squared deviations for Y is SS The sum The sum of squared deviations for X is SSx = of products is SP = Because the sign of the sum of products is , the sign of the Pearson correlation The Pearson correlation is r = Look at your scatter plot again. If you excluded the point (1, 10), you would expect the recalculated Pearson correlation to be because different similar
Look at your scatter plot again. If you excluded the point (1, 10), you would expect the recalculated Pearson correlation to be because (1, 10) is an outlier correlation is not the same as causation the relationship between X and Y is nonlinear X and Y are correlated ##### Add Answer of: Scatter plots and calculating correlation 4. Scatter plots and calculating correlation Aa Aa Suppose you are...
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• ### 4. Scatter plots and calculating correlation Aa Aa E Suppose you are given the following five... 4. Scatter plots and calculating correlation Aa Aa E Suppose you are given the following five pairs of scores: Create a scatter plot of these scores in the following diagram. For each of the five (X,Y) pairs, click on the plotting symbol (the black X) in the upper right corner of the tool, and drag it to the appropriate location on the grid. Data Points Based on your scatter plot, you would expect the correlation to be Complete: Chapter 14...

• ### please show step by step work. 4. Scatter plots and calculating correlation Suppose you are given... please show step by step work. 4. Scatter plots and calculating correlation Suppose you are given the following five pairs of scores: X Y 0 10 Create a scatter diagram of these scores in the following diagram. For each of the five Cx. v) pain, elik on the plotting embel (the black xi.e upper right corner of the tool, and drag it to the approcriate location on the grid Based on your scatter diagram, you would expect the correlation to...

• ### Scatter Plots and Correlation

You are given the following data:xy2016181224182017222114101810a.Plot these variable in scatter-plot format.Based onthis plot, what type of relationship appears to exist between thetwo variables?b.Compute the correlation coefficient for these sampledata.Indicate what the correlation coefficient measures.

• ### scatter plots and correlation

a neighborhood wanted to know if the number of policemen patrolling the streets would be linearly related to the number of robberies. the following data wereobtained.#of policemen. #of robberies.X. Y. X2. Y2. XY5. 308. 2510. 187. 25correlation coefficient?crit val?is there a strong positive, strong negative, or no correlation?equation of the regression line?what is the predicted number of robberies when the number of policemen is 15?9. 234. 359. 234. 359. 2012. 1010. 158. 22construct a scatter plot for the given data

• ### Re: Estimate the Pearson Correlation

6c. For the following scores,X Y7 69 66 312 59 65 4b. Just looking at the scatter plot, estimate the value of the Pearson correlation

• ### t Question 8-00028quiz action-takeQuiz&quiz_probGuid-QNAPCOA8010100000049e2a490080000&ck 5. Calculating the Pearson correlation and the coefficient of determination Aa Aa Suppose y... t Question 8-00028quiz action-takeQuiz&quiz_probGuid-QNAPCOA8010100000049e2a490080000&ck 5. Calculating the Pearson correlation and the coefficient of determination Aa Aa Suppose you are interested in seeing whether the total number of days students are absent from hi correlates with their grades. You obtain school records that list the total absences and average grades (on a percentage scale) for 80 graduating seniors to use the computational formula to calculate the Pearson correlation between the total number of absences and average grades. To do so, you...

• ### If you were to develop a linear regression equation that uses autonomy at work to predict... If you were to develop a linear regression equation that uses autonomy at work to predict job satisfaction, what would be the Y-Intercept (a) of the regression equation? Use the slope (b) obtained from the previous question to answer this question. Autonomy Job satisfaction (Y) n 8 8 Mean My=4 My 7 Variability SSX-28 SSY - 156 SP-56 Pearson r.85 -10 1 2 pts Question 43 Correlation' is to 'regression' as significance to non significant 'samples are to populations relationship...

• ### Below is data for two variables, X and Y. Answer the questions that follow. X Y...

Below is data for two variables, X and Y. Answer the questions that follow. X Y X-MX Y-MY (X-MX)2 (Y-MY)2 (X-MX)(Y-MY) 0 4 -3 -1 9 1 3 2 3 -1 -2 1 4 ___ 4 7 1 ___ 1 4 2 6 6 3 1 ___ 1 3 MX = _____; MY = _____ MX = 5; MY = 4 MX = 3; MY = 5 MX = 4; MY = 4 MX = 12; MY = 20 What...

• ### CORRELATION

a. For the following problems, construct a scatter plot using excel. After the plot is drawn, analyze it to determine which type of relationship, if any, existsb. For each of the following problems compute the correlation coefficient r, r2, (show the intermediary steps) and summarize/explain the results.Please type and show all work. ThanksPROBLEM 2: The data below shows the reading (x) and math scores (y) of 13 students.Reading Scores Math Scores1 42 32 43 83 64 75 96 77 87...

• ### Correlation Regression

a. For the following problems, construct a scatter plot using excel. After the plot is drawn, analyze it to determine which type of relationship, if any,exists.b. For each of the following problems compute the correlation coefficient r, r2, (show the intermediary steps) and summarize/explain the results.PROBLEM 2: The data below shows the reading (x)and math scores (y) of 13 students. Reading ScoresMath Scores1423243836475967787108108998 Please type and show all work. Thanks.

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