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 shown in the attached data table with a sample correlation coefficient r of 0.771. Remove the data entry for the international soccer player with a maximum weight of 180 kilograms and a jump height of 64 centimeters. Describe how this affects the correlation coefficient r.

A 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…

A data set contains information on the grams of fat and number of calories in 24 different fast foods. The correlation coefficient between fat content and calories is determined to be -0.63. Calculate the p-value for the test of significance.

A data set contains information on the grams of fat and number of calories in 25 different fast foods. The correlation coefficient between fat content and calories is determined to be -0.45. Calculate the p-value for the test of significance.

Is the correlation about 0.02, 0.22, or 0.92 with the outlier?    Without this outlier, is the correlation about 0.18, 0.78, or 0.98?    Is the outlier is an influential point to the correlation?

A researcher measures GPA and height for a group of high school students. What kind of correlation is likely to be obtained for these two variables?​

10. Describe the pattern of data that is observed when there is a strong negative correlation between X and Y.

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 = 0.862. 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? O A. No, because the absolute value of r exceeds the critical value of 0.707. O B. Yes, because r falls between the critical values of -0.707 and 0.707. O C. Yes, because the absolute value of r exceeds the critical value of 0.707. O 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 weight and chest size? (Round to three decimal…

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 0.594. Find the value of the coefficient of determination. What practical information does the coefficient of determination provide? Choose the correct answer below. O A. The coefficient of determination is 0.353. 64.7% of the variation is explained by the linear correlation, and 35.3% is explained by other factors. O B. The coefficient of determination is 0.647. 35.3% of the variation is explained by the linear correlation, and 64.7% is explained by other factors. O C. The coefficient of determination is 0.647. 64.7% of the variation is explained by the linear correlation, and 35.3% is explained by other factors. O D. The coefficient of determination is 0.353. 35.3% of the variation is explained by the linear correlation, and 64.7% is explained by other factors.

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=0.692. At a =0.05, is there enough evidence to conclude that there is a significant linear correlation between the variables? E Click the icon to view the soccer player data. Determine the null and alternative hypotheses. Ho: p o Maximum Weights and Jump Heights Ha: p o Maximum Jump height, y Determine the critical value(s). weight, x 190 60 to = (Round to three decimal places as needed. Use a comma to separate answers as needed.) 185 56 155 55 Determine the standardized test statistic. 180 59 175 55 t= (Round to three decimal places as needed.) 170 65 What is the conclusion? 150 52 160 52 Ho. There V enough evidence at the 5% level of significance to conclude that there is a significant linear correlation between the…