A study was done to look at the relationship between number of lovers college students have had in their lifetimes and their GPAs. The results of the survey are shown below.   Lovers 2 6 4 8 4 4 5 4 GPA 3.4 1.3 2.7 0.9 2.7 2.3 2.6 1.9   Find the correlation coefficient:  r=r=    Round to 2 decimal places. The null and alternative hypotheses for correlation are: H0:H0:     P == 0 H1:H1:     P ≠≠ 0     The p-value is:    (Round to four decimal places)  r2 = (Round to two decimal places)

Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of a = 0.05. Internet Users 77.9 79.7 56.2 66.2 78.8 37.6 Award Winners 5.5 8.7 3.3 1.7 10.6 0.1 ..... Construct a scatterplot. Choose the correct graph below. OA. OB. OC. OD. 121 12- 12 12- 30 90 30 Internet Users 30 90 30 90 90 Internet Users Internet Users Internet Users The linear correlation coefficient is r= (Round to three decimal places as needed.) Award Winners Award Winners Award Winners Award Winners

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 65 51 59 66 42 62 61 69 65 Sprout Percent 64.5 65.5 64.5 49 72 61 50.5 54.5 50.5   Find the correlation coefficient:  r=r=    Round to 3 decimal places. The null and alternative hypotheses for correlation are:H0:H0:      == 0H1:H1:       ≠≠ 0    The p-value is:  ?  (Round to 5 decimal places) r2 = ? (Round to 3 decimal places)

A study was done to look at the relationship between number of movies people watch at the theater each year and the number of books that they read each year. The results of the survey are shown below.   Movies 10 4 10 4 0 2 10 7 5 7 8 8 Books 4 8 9 10 16 15 7 7 9 6 5 9   Find the correlation coefficient:  r=r=    Round to 2 decimal places. The null and alternative hypotheses for correlation are:H0:H0: ? ρ r μ  == 0 H1:H1: ? μ ρ r   ≠≠ 0    The p-value is:      Round to 4 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 insignificant evidence to conclude that there is a correlation between the number of movies watched per year and the number of books read per year. Thus, the use of the regression line is not appropriate. There is statistically significant evidence to conclude that a person who watches fewer movies will read fewer books than a person who watches fewer…