Describe the appearance of a scatter plot showing the data from a set of scores that produce a Pearson correlation of r 5 –0.76.
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Describe the appearance of a
A scatterplot is a graphical representation that depicts the association/relationship between two variables.
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- The following data represent the speed at which a ball was hit (in miles per hour) and the distance it traveled (in feet) for a random sample of home runs in a Major League baseball game in 2018. Complete parts (a) through (f). Click here to view the data Click here to view the critical values of the correlation coefficient. (a) Find the least-squares regression line treating speed at which the ball was hit as the explanatory variable and distance the ball traveled as the response variable. (Round to three decimal places as needed.) (b) Interpret the slope and y-intercept, if appropriate. Begin by interpreting the slope. Data table O A. The slope of this least-squares regression line says that the distance the ball travels increases by the slope with every 1 mile per hour increase in the speed that the ball was hit. O B. The slope of this least-squares regression line shows the increase in the speed that the ball was hit with every 1 foot increase in the distance that the ball was hit.…Lieutenant Dan, a personal trainer, was interested in whether or not there was a linear relationship between the number of visits his soldiers made to the gym each week and the average amount of time they exercised per visit. He took the following data. Soldier 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 Determine the correlation coefficient significant. Please explain how you derived the answer.For a sample of eight bears, researchers measured the distances around the bears' chests and weighed the bears. Minitab was used to find that the value of the linear correlation coefficient is r= 0.846. Using a = 0.05, determine if there is a linear correlation between chest size and weight. What proportion of the variation in weight can be explained by the linear relationship between weight and chest size? Click here to view a table of critical values for the correlation coefficient. .... a. Is there a linear correlation between chest size and weight? A. No, because the absolute value of the test statistic exceeds the critical value of 0.707. B. Yes, because the absolute value of the test statistic exceeds the critical value of 0.707. C. Yes, because the test statistic falls between the critical values of - 0.707 and 0.707. D. The answer cannot be determined from the given information. b. What proportion of the variation in weight can be explained by the linear relationship between…
- 10. Describe the pattern of data that is observed when there is a strong negative correlation between X and Y.The maximum weights (in kilograms) for which one repetition of a half-squat can be performed and the jump heights (in centimeters) for 12 international soccer players are given in the accompanying table. The correlation coefficient, rounded to three decimal places, is r=0.707. At & = 0.05, is there enough evidence to conclude that there is a significant linear correlation between the variables? Click the icon to view the soccer player data. Determine the null and alternative hypotheses. Ho:p = 0 Ha:p # 0 Determine the critical value(s). to = (Round to three decimal places as needed. Use a comma to separate answers as needed.)Define the term relationship as a perfect positive cross-correlation?
- Suppose that you are interested in the relationship between Reading and Writing scores. (a) Provide the scatterplot for the association between Reading and Writing scores. Based on the scatterplot, do you expect Reading to be correlated with Writing? If so, based only on the plot, would you expect the correlation to be positive or negative? Explain your answer. (b) Report the value of the correlation between Reading and Writing scores, and whether it is statistically significant. Do these results agree with your expectations from part (a)? RDG WRTG 34 44 47 36 42 59 39 41 36 49 50 46 63 65 44 52 47 41 44 50 50 62 44 41 47 40 42 59 42 41 47 41 60 65 39 49 57 54 73 65 47 46 39 44 35 39 39 41 48 49 31 41 52 63 47 54 36 44 47 44 34 46 52 57 42 40 37 44 44 33 71 58 47 46 42 33 42 36 47 41 52 54 52 54 39 39 31 41 60 54 47 31 39 28 42 36 47 57 42 49 36 41 50 33 34 34 55 55 28 46…Match the linear correlation coefficient to the scatter diagram. The scales on the x- and y-axis are the same for each scatter diagram. (a) r= - 0.049, (b) r= - 1, (c) r= - 0.810 ..... Explanatory (a) Scatter diagram II (b) Scatter diagram III (c) Scatter diagram Explanatory II Explanatory .... Response Response asuodsayCan you help me out by showing me an example of a weak positive correlation scatter plot? with a relistic example that shows the two variables that demonstrate this pattern?
- A group of migraine headache sufferers were tracked over their lifetimes withdata taken every 10 years. The scatter plot shows the number of headachesper year versus age, in years. How would you describe the linear correlation? A.positive and strong B.positive and weak C.negative and weak D.negative and strongA university would like to describe the relationship between the GPA and the starting monthly salary of a graduate who earned a business degree from the university. The table shown below gives the monthly starting salaries for five graduates of the business school along with their corresponding GPAs. These data have a sample correlation coefficient, rounded to three decimal places, of 0.965. Using x=0.10, test if the population correlation coefficient between the starting salary and the GPA of a university business graduate is greater than zero. Starting Salary $2,600 $2,900 GPA 3.1 3.4 What are the correct null and alternative hypotheses? O A. Ho: p0. H₁₂₁: p=0 $2,400 2.6 O C. Ho: p≤0 H₁: p>0 What is the test statistic? t = (Round to two decimal places as needed.) What is the p-value? p-value = (Round to three decimal places as needed.) State the conclusion. Ho. There $2,900 3.7 $2,200 2.5 OB. Ho: p=0 H₁:p #0 O D. Ho: p20 H₁: p<0 enough evidence from the sample to conclude that p is…The number of wins for a high school football team is measured for the season. When the team plays at home, it is generally believed that they will win. Comparing the location of the game and the number of wins, a correlation coefficient of −0.11 is calculated. What would this imply about the football team winning at home? The scatter plot would closely resemble a straight line with a negative slope. The data has a strong, negative correlation, and a causal relationship exists between the team playing at home and winning. The scatter plot would closely resemble a straight line with a negative slope. The data has a strong, negative correlation, but causation cannot be determined. The scatter plot would not be represented by a line of best fit with a negative slope. There is a weak correlation between the football team playing at home and winning, and a causal relationship exists between the team playing at home and winning. There is no causation and almost no correlation between the…