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23. Weighing Seals with a Camera Listed below are the overhead widths (cm) of seals measured from photographs and the weights (kg) of the seals (based on “Mass Estimation of Weddell Seals Using Techniques of Photogrammetry” by R. Garrott of Montana State University). The purpose of the study was to determine if weights of seals could he determined from overhead photographs. Is there sufficient evidence to conclude that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals?
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Elementary Statistics (13th Edition)
- A study of emergency service facilities investigated the relationship between the number of facilities and the average distance traveled to provide the emergency service. The following table gives the data collected. Number ofFacilities AverageDistance(miles) 9 1.65 11 1.11 16 0.83 21 0.62 27 0.51 30 0.48 (a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable. A scatter diagram has 6 points. The horizontal axis ranges from 0 to 1.8 and is labeled: Distance. The vertical axis ranges from 5 to 35 and is labeled: Number. Moving from left to right, the leftmost point is at approximately (0.48, 30), with the next five points extending downward. The points decrease steeply at first and then level off. A scatter diagram has 6 points. The horizontal axis ranges from 5 to 35 and is labeled: Number. The vertical axis ranges from 0 to 1.8 and is labeled: Distance. Moving from left to right, the leftmost point is at…arrow_forwardKia assesses people's levels of gratitude and stress that occur naturally to determine if a relationship exists between the two variables. Kia is using a(n): a. quasi-experimental design b. experimental design c. descriptive design d. correlational designarrow_forwardBased on the scatterplot, what is the most likely value of the linear correlation coefficient r?A. 0B. 1C. -1D. -0.5arrow_forward
- Use the table below to answer the following questions: (a) Find the value of the linear correlation coefficient. (b) Assuming a 0.01 significance level, find the critical values. (c) Is there sufficient evidence to support the claim of a linear correlation? Explain your reasoningarrow_forwardUse table of critical values for correlation coefficient.arrow_forwardThanks!arrow_forward
- The correlation coefficient (r) measures O how many data points are shown on a scatterplot. O whether or not a scatterplot shows an interesting pattern. O whether a cause and effect relationship exists between two variables. O the strength and direction of the linear relationship between two quantitative variables.arrow_forwardcorrelationarrow_forwardA researcher is conducting a study to examine the relationship between age and agility. She recruited a sample of 50 participants, ranging in age from 20 – 65 years old, and asked them to perform a series of agility tests. Afterward, participants were given an average agility score, which was then used in a correlation analysis against participant age. The results of the study are as follows [r(50) = -0.97, p < 0.001]. Identify the correct interpretation below. A. There is a non-significant, weak, negative correlation between age and agility, suggest that as age increases, agility decreases B. There is a statistically significant, strong, negative correlation between age and agility, suggesting that as age increases, agility decreases C. There is a non-significant, moderate, positive correlation between age and agility, suggesting that there is no relationship between these two variables D. There is a statistically significant, strong positive correlation between age and…arrow_forward
- Show workarrow_forwardEspañol An advertising firm wishes to demonstrate to potential clients the effectiveness of the advertising campaigns it has conducted. The firm is presenting data from 8 recent campaigns, with the data indicating a correlation between advertising and sales. In particular, r= 0.59 for the variables cost of advertising campaign and resulting percentage increase in sales for the 8 campaigns. Using this information, test for a significant linear relationship between these two variables by doing a hypothesis test regarding the population correlation coefficient p. (Assume that the two variables have a bivariate normal distribution.) Use the 0.05 level of significance, and perform a two-tailed test. Then complete the parts below. (If necessary, consult a list of formulas.) Aa (a) State the null hypothesis H and the alternative hypothesis H . Ho :0 H :0 D=0 OSO (b) Determine the type of test statistic to use. Choose one) ▼ Oarrow_forwardA statistical program is recommended. A study of emergency service facilities investigated the relationship between the number of facilities and the average distance traveled to provide the emergency service. The following table gives the data collected. Number of Facilities Average Distance (miles) 9 1.65 11 1.11 16 0.84 21 0.62 27 0.50 30 0.48 (a) Develop a scatter diagram for these data, treating average distance traveled as the dependent variable. 1.8- 1.8 1.8 35 1.6- 1.6 1.6 30 1.4 1.4 1.4 1.2 1.2 1.2 25 1. 1. 1. 20 0.8- 0.8 0.8 0.6- 0.6 0.6- 15 0.4 0.4- 0.4 10 0.2- 0.2 0.2 0. 0. 0. 10 15 20 25 30 35 10 15 20 25 30 35 10 15 20 25 30 35 0. 0.2 0.4 0.6 0,8 1. 1.2 1.4 1.6 1.8 Number Number Number Distance (b) Does a simple linear regression model appear to be appropriate? Explain. O No, the scatter diagram suggests that there is a curvilinear relationship. O Yes, the scatter diagram suggests that there is a linear relationship. O No, the scatter diagram suggests that there is no…arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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