For the paired data below, do a complete regression analysis:NSKa) C

abreviatsjw

abreviatsjw

Answered question

2021-12-08

For the paired data below, do a complete regression analysis: a) Compute the value of the correlation coefficient. b) Use the Critical Value (CV) from the table to determine if there is a significant linear correlation. c) Determine the linear regression equation. Size(sq.ft.)X128494034087801616924159365010561783askingPriceY215190525175342249319119249298

Answer & Explanation

Jimmy Macias

Jimmy Macias

Beginner2021-12-09Added 30 answers

Consider the following calculations:
xyx2y2xy128421516486564622527606094019088360036100178600340852511614464275625178920078017560840030625136500161634226114561169645526729242498537766200123007615933192537649101761508167650119422500141617735010562491115136620012629441783298317908988804531334x=14034y=2681x2=25474726y2=834267xy=4542903
a)
The correlation coefficient is,
r=n(xy)(x)(y)[nx2(x)2][ny2(y)2]
=10(4542903)(14034×2681)[(10×25474726)140342][(10×834267)26812]
=0.9552
soanooooo40

soanooooo40

Beginner2021-12-10Added 35 answers

b)
Hypotheses:
H0:p=0
H1:p0
Critical value:
The degrees of freedom is given below:
df=n-2
=10-2
=8
Using t-distribution table, the critical value at 0.05 and 8 df, the critical value is obtained as 2.306.
The test statistic for correlation coefficient is given below:
t=rn21r2
=0.955210210.95522
=9.1286
Since test statistic is greater than the critical value, the null hypothesis is rejected. Thus, there is sufficient evidence to conclude that there is significant linear correlation between X and Y.

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