Compute Karl Pearson's coetficient of correlation from the following data and comment on its value : 17 19 23 35 40 42 48 54 Y : 02 13 11 24 13 50 18 37
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A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…
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- Compute the Pearson Correlation of the following given x 33 31 32 28 33 26 34 32 28 27 y 6 4 4 1 3 3 4 2 3 2Use the Pearson r correlation table to answer questions about the relations between table variables (symbols: * p < .05, ** p < .01, *** p < .001). variable contacts demeanor preparation contacts 1 -0.139 -0.004 demeanor -0.139 1 0.886*** preparation -0.004 0.886*** 1A study was done to look at the relationship between number of vacation days employees take each year and the number of sick days they take each year. The results of the survey are shown below. Vacation Days 11 11 15 4 13 0 3 3 0 5 3 7 Sick Days 3 -0 0 3 0 7 9 9 6 4 10 5 Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation are:H0:H0: == 0H1:H1: ≠≠ 0 The p-value is: (Round to four decimal places) Use a level of significance of α=0.05α=0.05 to state the conclusion of the hypothesis test in the context of the study. Select from the following answers. There is statistically significant evidence to conclude that an employee who takes more vacation days will take fewer sick days than an employee who takes fewer vacation days . There is statistically significant evidence to conclude that an employee who takes more vacation days will take more sick days than an employee who takes fewer vacation…
- Subject Extroversion Neuroticism 1 43 49 2 46 53 3 48 67 4 48 57 5 48 56 6 50 48 7 51 60 8 51 41 9 53 51 10 58 47 11 62 41 12 63 51 13 63 30 14 63 28 15 67 55 16 67 47 17 67 39 What is the correlation coefficient for the association of extroversion and neuroticism in personalities.xls? What is the value of Fisher's z-transforation of the correlation coefficient for the association of extroversion and neuroticism in personalities.xls? What is the standard deviation of the sampling distribution of Fisher's z-transformed correlation coefficient for the association of extroversion and neuroticism calculated from the data in personalities.xls?A study was done to look at the relationship between number of movies people watch at the theater each year and the number of books that they read each year. The results of the survey are shown below. Movies 10 4 10 4 0 2 10 7 5 7 8 8 Books 4 8 9 10 16 15 7 7 9 6 5 9 Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation are:H0:H0: ? ρ r μ == 0 H1:H1: ? μ ρ r ≠≠ 0 The p-value is: Round to 4 decimal places. Use a level of significance of α=0.05α=0.05 to state the conclusion of the hypothesis test in the context of the study. There is statistically insignificant evidence to conclude that there is a correlation between the number of movies watched per year and the number of books read per year. Thus, the use of the regression line is not appropriate. There is statistically significant evidence to conclude that a person who watches fewer movies will read fewer books than a person who watches fewer…A professor at the University of New Hampshire was interested in evaluating the effect of the unemployment rate on the incarceration rate. Using data from 50 states and the District of Columbia (n = 51), the researcher computed the Pearson’s correlation coefficient between the two variables. The results are presented below. Correlations Incarceration Unemployment Incarceration Pearson Correlation 1 .209 Sig. (2-tailed) .142 N 51 51 Unemployment Pearson Correlation .209 1 Sig. (2-tailed) .142 N 51 51 Using an alpha level of 0.05 and the four steps of the hypothesis testing process, test the research hypotheses that unemployment increases incarceration. Step 3 Step 4 Based on your decision to step 4 what type of error might you be making?
- Suppose the researcher also expected a relationship between the IQ scores of fathers and their sons. Use the following IQ scores to test this theory. Family Father Son 120 121 110 105 120 125 92 87 85 92 72 90 107 110 115 122 155 133 90 123 What is Pearson correlation coefficient (r) for the data above? A .788 B .892 C .714 D 1.0A grocery store manager did a study to look at the relationship between the amount of time (in minutes) customers spend in the store and the amount of money (in dollars) they spend. The results of the survey are shown below. Time 21 19 23 25 17 12 19 Money 106 80 87 96 80 39 92 a. Find the correlation coefficient: r = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Họ: ? H1: ? v + O The p-value is: (Round to four decimal places) c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. O There is statistically insignificant evidence to conclude that a customer who spends more time at the store will spend more money than a customer who spends less time at the store. O There is statistically significant evidence to conclude that there is a correlation between the amount of time customers spend at the store and the amount of money that they spend at the store. Thus, the regression line is…A study was done to look at the relationship between number of vacation days employees take each year and the number of sick days they take each year. The results of the survey are shown below. Vacation 7 12 9 3 8 10 5 8 10 15 12 7 0 9 13 Sick 4 0 12 2 0 9 3 5 1 0 7 8 3 17 0 Helpful Videos:Finding the EquationLinks to an external site., Interpreting the CorrelationLinks to an external site., Testing for CorrelationLinks to an external site. HintLinks to an external site. Textbook PagesLinks to an external site. A. r = ["", "", "", "", ""] B. r2 = ["", "", "", ""] C. Find the equation of the least squares regression line:�^ = ["", "", "", ""] + ["", "", "", ""] x. D. What does the regression line predict for the number of sick days an employee took if that person took 11 vacation days that year? ["", "", "", ""] (Note that this may not be a reliable prediction. Why?) E. Test the hypothesis that there is a linear correlation between the…
- The following table gives the marks obtained by a student in ten tests during the year. Calculate the correlation coefficient. Test No. : 1 2 3 4 5 6 7 8 10 Marks in Accounts : 77 54 27 52 14 35 90 25 56 60 Marks in English : 35 58 60 40 50 40 35 56 34 4210. The sign of the Pearson’s correlation coefficient (r) tells us what information? a. only the strength of the correlation (small, medium, or large) b. only the direction of the correlation (negative or positive) c. both the strength and direction of the correlation d. the strength, direction, and form of the correlationWhat is the relationship between the number of minutes per day a woman spends talking on the phone and the woman's weight? The time on the phone and weight for 7 women are shown in the table below. Time 47 65 51 50 76 46 60 Pounds 161 179 173 181 202 157 170 a. Find the correlation coefficient: r = 0.85 o Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho: H : The p-value is: 0.0154 o (Round to four decimal places) c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. There is statistically insignificant evidence to conclude that a woman who spends more time on the phone will weigh more than a woman who spends less time on the phone. There is statistically insignificant evidence to conclude that there is a correlation between the time women spend on the phone and their weight. Thus, the use of the regression line is not appropriate. There is statistically significant evidence to…
