1) Find the correlation the data points with the following coordinates: let ?, j

Question

1) Find the correlation the data points with the following coordinates: let ?, j Ship 2200 x| 29.2 13.7 35.7 239 38.3 1) equation of the least squares line The paired data below consist of the costs of advertising2) (in thousands of dollars) and the number of products sold (in thousands). Cost (x) I 9 2 3 4 2 5 9 10 Number () 85 52 55 68 67 86 83 73 A) y--26.4-1.42x C) y-558+2.79x ?) ? 55.8-279x D) y 264+1.42x 3) Use the equation of the least squares line obtained in the previous problem to predict the 3) number of products sold if the cost of advertising is $9000. 4) Which of the following values could not epresent a correlation coefficient? A)-1 B) 0.927 C) 0 D) 1.032 5) Determine whether a linear correlation exists.r--0.736 when n -6 at a 0.05 5) 6) Mike, Joe, and Bill are painting a fence. The painting can be finished if Mike and Joe work together 6) for 4 hours and Bill works alone for 2 hours; or if Mike and Joe work together for 2 hours and Bill works alone for 5 hours; or if Mike works alone for 6 hours, Joe works alone for 2 hours, and Bill works alone for 1 hour. How much time does it take for each man working alone to complete the painting? A) Mike: 8 hr; Joe: 8 hr; Bill: 16 hr C) Mike: 16 hr; Joe: 8 hr; Bill: 8 hr B) Mike: 12 hr Joe: 10 hr; Bill: 10 hr D) Mike: 8hr: Joe: 16 hr Bill: 8 hr 2-1 0 1-1 2 1-2 | and 1-3-2 4 1 0-1 1-1 7) 7) Decide whether the matrices are inverses of each other.

Explanation / Answer

Solution1:

Create two vectors x and y in R

perform cor.test to get the correlation coefficient

.Rcode:

x <- c(29.2,13.7,35.7,23.9,38.3)
y <- c(7,5,7,3,9)
cor.test(x,y)

Output:

Pearson's product-moment correlation

data: x and y
t = 1.8906, df = 3, p-value = 0.1551
alternative hypothesis: true correlation is not equal to 0
95 percent confidence interval:
-0.4146747 0.9812656
sample estimates:
cor
0.7373561

correlation coefficient=0.7373561

ANSWER1 :0.7373561

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