Question

The accompanying data are a subset of data from the report Great Jobs, Great Lives.+ The values are approximate values read(a) Construct a scatterplot for these data. 80 80 70 70 Percentage of Alumni Who Strongly Agree 60 Percentage of Alumni Who S

(b) What is the value of the correlation coefficient? (Round your answer to three decimal places.) r = 0.5907 (c) Find the eq

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Answer #1

a)

80 Percentage of Alumni Who Strongly Agree 404 0 20 80 100 40 60 Ranking

b)

ΣX ΣY Σ(x-x̅)² Σ(y-ȳ)² Σ(x-x̅)(y-ȳ)
total sum 985.00 1036.00 6986.94 620.94 1230.94
mean 57.94 60.94 SSxx SSyy SSxy

correlation coefficient ,    r = SSxy/√(SSx.SSy) =   0.591

c) Regression line is, Ŷ=   50.733   + (   0.176   )*x

d)

Predicted Y at X=   50   is          
Ŷ=   50.7333   +   0.1762   *50=   59.542

e)

because it lead to underplotation of value of x (outside the range of x) that may lead to wrong predicted value

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