A paper described a study that examined whether stress accelerates aging at a ce

Question

A paper described a study that examined whether stress accelerates aging at a cellular level. The accompanying data on a measure of perceived stress (x) and telomere length (y) were read from a scatterplot that appeared in the paper. Telomere length is a measure of cell longevity Perceived Telomere Perceived Telomere stress length 20 1.19 20 0.95 20 0.91 21 0.95 21 1.2 21 1.08 221.11 221 1.23 22 0.89 23 1.27 24 0.94 241.08 25 1.2 26 0.98 21.16 2 1.25 28 1 29 1.22 33 0.9 length stress 5 0.93 6 0.94 6 0.96 0.92 101 1.14 11 1.03 12 0.92 13 1.06 14 0.99 14 0.9 151.16 15 1.07 15 1.09 17 0.95 17 0.93 11.11 181.01 18 1.07 19 1.15S (a) Compute the equation of the least-squares line. (Round all answers to the nearest thousandth.)

Explanation / Answer

Solution1:

Use lm function in R to get the least squares regression line.
Coeffcients to get the slope and y intercept

perceivedtsress <- c(5,6,6,7,10,11,12,13,14,14,15,15,15,17,17,17,18,18,19,
20,20,20,21,21,21,22,22,22,23,24,24,25,26,27,27,28,29,33)
telomerelength <- c(0.93,0.94,0.96,0.92,1.14,1.03,0.92,1.06,0.99,0.9,1.16,1.07,1.09,
0.95,0.93,1.11,1.01,1.07,1.15,1.19,0.95,0.91,0.95,1.2,1.08,1.11,1.23,
0.89,1.27,0.94,1.08,1.2,0.98,1.16,1.25,1,1.22,0.9
)
regmod <- lm(telomerelength~perceivedtsress)
round(coefficients(regmod),3)

ANSWER(A)

regressio equation is

y^= 0.945 + 0.006 *x

Solutionb:

Entire sumamry of regression eq is

Residuals:

Min 1Q Median 3Q Max

-0.229207 -0.098973 0.009399 0.091726 0.196609

Coefficients:

Estimate Std. Error t value Pr(>|t|)   

(Intercept) 0.945015 0.052854 17.880 <2e-16 ***

perceivedtsress 0.005582 0.002683 2.081 0.0446 *  

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Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 0.1109 on 36 degrees of freedom

Multiple R-squared: 0.1074, Adjusted R-squared: 0.08255

F-statistic: 4.329 on 1 and 36 DF, p-value: 0.04464

R squared=0.107

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