How strongly do physical characteristics of sisters and brothers correlate? Prov

Question

How strongly do physical characteristics of sisters and brothers correlate? Provided are data on the heights (in inches) of 12 adult pairs: Brother 71 68 66 67 70 71 70 73 72 65 66 70 Sister 69 64 65 63 65 62 65 64 66 59 62 64 To access the complete data set, click the link for your preferred software format: Excel Minitab JMP SPSS TI R Mac-TXT PCTXT CSV Crunchlt (a) Use your calculator or software to find the correlation and equation of the least-squares regression line for predicting sister's height from brother's height. Make a scatterplot of the data, and add the regression line to your plot (Round your answer to three decimal places.) After rounding the values of the intercept and slope to two decimal places, the equation of the least-squares regression line for predicting sister's height from brother's height is ine (b) Assume Damien is 69 inches tall. Using the exact regression line equation you calculated, predict the height, ya- of his sister Tonya. (Round your answer to two decimal places.) V Scroll Based on the scatterplot and the value you calculated for the correlation r, do you expect your prediction to be very Question Source: Moore. The Basc Prctice Of

Explanation / Answer

Regression Analysis: sister versus brother

Model Summary

S R-sq R-sq(adj) R-sq(pred)
2.13770 30.76% 23.84% 0.00%

a] r = sqrt(R^2) = sqrt(0.3076)

r = 0.555

Coefficients

Term Coef SE Coef T-Value P-Value VIF
Constant 28.0 17.1 1.64 0.132
brother 0.521 0.247 2.11 0.061 1.00

Regression Equation

y hat =sister = 28.0 + 0.521 brother

b] x = 69

  sister = 28.0 + 0.521 brother

   sister = 28.0 + 0.521 *69

sister = 63.949

yh = 63.949

This prediction isn't expected to be very accurate because the square of the correlation isn't very large: r^2 = (0.555)^2 = 0.308 . The regression line explains only 30.8% of the variation in sister heights.

Related Questions

Navigate

• Browse (All)
• Browse H
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.