Question

22)   Given the paired data set below of Super Models heights and weights, then Determine the Line of Regression.

X |   65    67    62      68      66 69 61   67   64 69

Y | 110 105 113   107   109 111 104   110 116 115

23)  Calculate the Coefficient of Correlation for the data of problem 22

24)  Using the Line of Regression from problem 22, predict the weight of a Model who is 69 inches tall.

25)  Using the data from problem 22 construct a Scatter Diagram.

Answer 1

Problem 22)

> x=c(65,67,62,68,66,69,61,67,64,69)
> y=c(110,105,113,107,109,111,104,110,116,115)
> model = lm(y~x)
> model

Call:
lm(formula = y ~ x)

Coefficients:
(Intercept) x
97.7098 0.1868

Therefore, Linear Equation is,

Y = 97.7098 + 0.1868 * X

Problem 23)

correlation Ceofficient for given data is,

cor(x,y)
[1] 0.1307659

The Correlation coefficient of X and Y is 0.1308. It is close to zero. so we can conclude that the variables are negatively linearly related.

Problem 24)

x= 69 inches ball

therefore, prediced model for x=69 is,

Y = 97.7098 + 0.1868 * 69

Y = 110.599

Problem 25)

Scatter Diagram-

plot(x,y,main='scatter plot')

>