A biologist looked at the relationship between number of seeds aplant produces and the percent of those seeds that sprout. Theresults of the survey are shown below.

SeedsProduced	54	53	62	66	50	41	40
SproutPercent	61	59.5	50	55	69	73.5	72

1. Find the correlation coefficient: r=r=   Round to 2decimal places.
2. The null and alternative hypotheses for correlation are:
   H0:H0: ?ρμr == 0
   H1:H1: ?rρμ ≠≠ 0
   The p-value is: (Round to four decimal places)
   
3. Use a level of significance of α=0.05α=0.05 to state theconclusion of the hypothesis test in the context of the study.
   • There is statistically significant evidence to conclude that aplant that produces more seeds will have seeds with a lower sproutrate than a plant that produces fewer seeds.
   • There is statistically insignificant evidence to conclude thata plant that produces more seeds will have seeds with a lowersprout rate than a plant that produces fewer seeds.
   • There is statistically insignificant evidence to conclude thatthere is a correlation between the number of seeds that a plantproduces and the percent of the seeds that sprout. Thus, the use ofthe regression line is not appropriate.
   • There is statistically significant evidence to conclude thatthere is a correlation between the number of seeds that a plantproduces and the percent of the seeds that sprout. Thus, theregression line is useful.
4. r2r2 = (Round to two decimal places)
5. The equation of the linear regression line is:  
   ˆyy^ = + xx   (Please show your answers to two decimalplaces)
   
6. Use the model to predict the percent of seeds that sprout ifthe plant produces 57 seeds.
   Percent sprouting = (Please round your answer to the nearest wholenumber.)