17.Election results indicating the number of voters that voted for Candidate X and Y are shown below. The data summarizes a sample of nine (9) electoral districts where results were close.

Candidate X:

6330,2900, 4000, 1,001, 998, 4,000, 589, 400, 3,200

Candidate Y:

1,100, 6,000, 2,700, 3,670, 3,500, 3,650, 3,500, 3,625, 3,600

X has a mean and standard deviation of 2602 and 2009

Y has a mean and standard deviation of 3483 and 1261

(c) Calculate the Correlation Coefficient for Candidate X and Y

(d) Determine if Candidate X votes can predict Y. Calculate the regression (y-intercept and slope )

18.As a manufacturer of guitars, a major corporation wants to estimate the proportion of guitar players who are right-handed. Assume that the manufacturer has an estimate of p found from a previous study, which suggests that 75% of guitar players are right-handed. How many golfers must be surveyed if they want to be within 0.02, with a 99.9% confidence?

Select one:

a. 4460

b. 5077

c. 6077

d. 6770

e. None of the above

19.A simple random sample of 5k race times for 32 competitive female runners aged 15-24 years old resulted in a mean 5k race time of 16.79 minutes. The simple linear regression equation that fit the sample data was obtained and found to be -predicted =21.5060.276 , where, represents the age of the runner in years and -predicted represents the 5k race time for a competitive female runner in minutes.

The proportion of variation in 5k race times that can be explained by the variation in the age of competitive female runners was approximately 0.663. What would be the value of the correlation coefficient?

Select one:

a. -0.440

b. 0.440

c. 0.663

d. 0.814

e. -0.814