Practice questions Set 4 1. The following data for the dependent variable, y, and the independent variable, x, have been collected using simple random sampling: xy 10 120 14 130 16 170 12 150 20 200 18 180 16 190 14 150 16 160 18 200 a. Construct a scatter plot for these data. Based on the scatter plot, how would you describe the relationship between the two variables? b. Compute the correlation coefficient.
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- A population data set produced the following information. N = 250. Ex = 9870, E y = 1452, E xy = 84,890 E = 485,590, and E = 135,115. Find the linear correlation coefficient p. Round your answer to three decimal places. p = iUse the following sample data for variables y and x to complete parts a through c. 48 68 83 79 53 89 82 44 93 5 6 96 D 6 4 3 4 6 4 4 2 a. Develop a scatter plot for these data and describe what, if any, relationship exists. b. (1) Compute the correlation coefficient. (2) Test to determine whether the correlation is significant at the significance level of 0.10. Conduct this hypothesis test using the p-value approach. (3) Compute the regression equation based on these sample data and interpret the regression coefficients. c. Test the significance of the overall regression model using a significance level equal to 0.10. a. Choose the correct graph below. O A. B. Oc. OD. 150 150 150T 150 ---- There appears to be V linear relationship between x and y. b. First compute the c |(Round to is needed.) r= no Now test to determine on is significant at the signifi tested. a positive A. Ho: ρ 0, H. a negative b. First compute the correlation coefficient r. r= (Round to three decimal places as…The data shown below consists of the price (in dollars) of 7 events at a local venue and the number of people who attended. Determine if there is significant linear correlation between ticket price and number of attendees. Use a significance level of 0.01 and round all values to 4 decimal places. Ticket Price Attendence 6 170 10 151 14 171 18 160 22 172 26 179 30 130 Но: р %3D 0 Ha: p = 0 Find the Linear Correlation Coefficient Find the p-value p-value = The p-value is O Less than (or equal to) a O Greater than a
- The data shown to the right for the dependent variable, y, and the independent variable, x, have been collected using simple random sampling. X. y 12 140 a. Construct a scatter plot for these data. Based on the scatter plot, how would you describe the relationship between the two variables? b. Compute the correlation coefficient. 15 170 11 130 13 160 15 180 10 120 14 140 10 150 a. Which graph below shows a scatter plot for these data? O A. OB. C. O D. Ay 200-4 Ay 200- 本y 15- Ay 15- 0+ 10 0+ 10 10+ 15 10 15 200 200 Click to select your answer(s).Let x be the average number of employees in a group health insurance plan, and let y be the average administrative cost as a percentage of claims. Suppose a random sample of employees gave the following information. X 12 8 14 32 73 y 50 45 35 28 16 Would you say the correlation is low, moderate, or strong? Positive or negative? If necessary, draw a scatter diagram of the given data. O strong and negative O moderate and positive strong and positive O low and negativeFind the sample correlation coefficient for the following data.
- Please help!Complete the following instructions:i. Identify the independent and dependent variables.ii. Calculate and interpret the Pearson correlation coefficient r for the paired data. Be sure to indicate if the correlation is positive or negative, and whether it is strong, moderate, or weak, or if there does not appear to be any significant correlation. A researcher for a gasoline retailer examines the relationship between the volume of gasoline purchased in kL(i.e. 1000 L) compared to the price of gasoline (in $/L), over a course of several days, to see if there is a correlation between the data: Amount of Gasoline Purchased Price of Gasoline 2.257 1.079 3.126 1.015 2.793 1.046 4.671 0.973 2.137 1.021 5.916 0.939 2.775 0.995 4.88 0.927 3.162 0.964 7.498 0.899 2.971 0.982 3.596 0.945 1.372 1.129 3.961 1.059 i. Independent Variable: Dependent Variable: ii. Pearson correlation coefficient (r): Round to 3 decimal…I AM RESUBMITTING THIS QUESTION FOR MORE SUBPARTS. I NEED HELP FROM NUMBER 7 DOWN. THANK YOU. A 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 27 22 17 30 17 19 12 23 22 Money 117 72 53 106 66 93 53 83 95 Find the correlation coefficient: r= Round to 2 decimal places. The null and alternative hypotheses for correlation are:H0:H0: ? μ r ρ == 0H1:H1: ? r ρ μ ≠≠ 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. There is statistically significant 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. There is statistically significant evidence to conclude that there is a…
- Milan.m.mThe data shown to the right for the dependent variable, y, and the independent variable, x, have been collected using simple random sampling. y 100 10 15 140 a. Construct a scatter plot for these data. Based on the scatter plot, how would you describe the relationship between the two variables? b. Compute the correlation coefficient. 11 110 13 130 14 150 11 120 15 170 12 140 a. Which graph below shows a scatter plot for these data? O A. OB. OC. OD. 15- 180- 180- 15- 10- 10- 180 10 15 10 180 There appears to be linear relationship between x and y. b. What is the correlation coefficient? r= (Round to two decimal places as needed.)