Susan, a personal trainer, was interested in whether or not there was a linear relationship between the number of visits her clients made to the gym each week and the average amount of time her clients exercised per visit. She took the following data. Client 1 2 3 4 5 6 Number of visits per week 1 3 4 2 3 5 Average time spent exercising per visit (hours) 2 1.5 1 2 2 0.30 Is the correlation coefficient significant? Group of answer choices No Yes Perhaps Insufficient Information to make a decision

Assume that you have paired values consisting of heights​ (in inches) and weights​ (in lb) from 40 randomly selected men. The linear correlation coefficient r is 0.567. Find the value of the coefficient of determination. What practical information does the coefficient of determination​ provide?       Question content area bottom Part 1 Choose the correct answer below.     A. The coefficient of determination is 0.321. 32.1​% of the variation is explained by the linear​ correlation, and 67.9​% is explained by other factors.   B. The coefficient of determination is 0.679. 67.9​% of the variation is explained by the linear​ correlation, and 32.1​% is explained by other factors.   C. The coefficient of determination is 0.321. 67.9​% of the variation is explained by the linear​ correlation, and 32.1​% is explained by other factors.   D. The coefficient of determination is 0.679. 32.1​% of the variation is explained by the linear​ correlation, and 67.9​% is…

You wish to determine if there is a negative correlation between the two variables at a significance level of a = 0.05. You have the following data set: y 22.1 43.8 24.9 37.2 25.4 33.4 32.5 42.3 23.3 56.5 22.6 54.7 28.9 25.2 What is the correlation coefficient for this data set? Round to 3 decimal places Find the test statistic, p-value, df, and critical value(s) for a Correlationt Test on this data. Round to 3 decimal places t = p-value = %3D df = tc = Your final conclusion is that... OThere is not enough evidence to show that there is a negative correlation between the two variables. There is enough evidence to show that there is a negative correlation between the two variables.

A biologist looked at the relationship between number of seeds a plant produces and the percent of those seeds that sprout. The results of the survey are shown below. Seeds Produced 68 56 61 Sprout Percent 60.6 69.2 = 0 48 64.7 64.6 #0 a. Find the correlation coefficient: b. The null and alternative hypotheses for correlation are: H₂: ? H₁: 2 The p-value is: 63 64.1 40 Round to 2 decimal places. 63 62 65.1 68.4 84 (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 significant evidence to conclude that there is a correlation between the number of seeds that a plant produces and the percent of the seeds that sprout. Thus, the regression line is useful. O There is statistically insignificant evidence to conclude that a plant that produces more seeds will have seeds with a lower sprout rate than a plant that produces fewer seeds. O There is statistically significant…

Fully explain the issues and problems with the below correlational data. Focus on the data in the highlighted box versus the rest of the data. Do not try to explain the data, but rather focus on the statistical issues and problems. IF YOU CAN'T SEE THE IMAGE HERE. PLEASE GO TO THIS LINK Linke 10 6. 8. 7. 5. 4. 10 20 30 40 50 60 70 80 90 100 Age Enjoyment of Hip-Hop

Please answer all questions A biologist looked at the relationship between number of seeds a plant produces and the percent of those seeds that sprout. The results of the survey are shown below.   Seeds Produced 60 57 40 44 45 58 54 48 Sprout Percent 54 53.2 65 59.4 66 49.8 51.4 64.8   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. There is statistically significant evidence to conclude that there is a correlation between the number of seeds that a plant produces and the percent of the seeds that sprout. Thus, the regression line is useful. There is statistically insignificant evidence to conclude that there is a correlation between the number of seeds that a plant produces and the percent of…

Consider below the correlation between the test result in the First attempt and the Second attempt. Which of the following statement best describes the diagram?   Select one: a  the correlation is -1.00 b there is a very weak linear correlation c there is a very strong negative linear correlation d there is a very strong positive correlation

Answer

What is a reason why correlation does not imply causation? O Because correlations are not based on data. O Because you do not know if X or Y occurred first. O There could be a third variable that explains both X and Y. O Both b and c

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