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')**

>

X | 65 67 62 68 66 69 61 67 64 69
Y | 110 105 113 107 109 111 104 110 116 115
A)Given the paired data set above of Super Models heights and
weights, then Determine
the Line of Regression.
B)Calculate the Coefficient of Correlation for the data set
C) Using the Line of Regression from the data set, predict the
weight of a Model who is 69
inches tall.
D) Using the data set construct a Scatter...

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