Question

A study was conducted with vegetarians to see whether the number of grams of protein each ate per day was related to diastolic blood pressure. The data are given here. Is there sufficient evidence to conclude that there is a linear correlation between protein intake (grams, x) and diastolic blood pressure (pressure, y)? Fill in the missing blanks for the table given. Grams (ar) Grams Pressure (2. y Pressure (y Grams? (2) Pressure (y) 292 5329 513.5 42.25 6241 25 6889 451 30.25 6724 672 920 8464 792 7744 7052 6724 7396 10.5 997.5 110.25 9025 Sum 66.7 762 57582 535.99 64868 Calculate the regression coefficient for the given data, and find the regression equation. Round answers to four decimal places Correlation Coefficient The linear regression equation is:

Answer 1

Find X Y , X and Y2 as it was done in the table below. Y XY XX Y Y 292 16 5329 513.5 42.25 6241 415 6889 451 30.25 6724 672 64 920 100 8464 792 81 7744 705.2 67.24 7396 997.5 110.25 9025 7056 10.5 95

Find the sum of every column to get: ΣΧ = 66.7, ΣΥ = 762, ΣΧ.Υ = 5758.2, Σx? = 535.99, ΣΥ? = 64868 Use the following formula to work out the correlation coefficient. η-ΣΧΥ - ΣΧ. ΣΥ η ΣΧ2 - (Σ Χ)?] - η ΣΥ2 – (ΣΥ)?] 9. 5758.2 – 66.7 - 762 - 8 0.916 [9 - 535.99 - 66.7?] - [9 - 64868 - 7622]

Correlation coefficient ( r ) = 0.9160

ΣΧ = 66.7, ΣΥ= 762, ΣΧ.Υ = 5758.2, ΣΧ2 = 535.99 Use the following equations to find a and b. . ΣΥΣΧ? - ΣΧ-ΣΧΥ η-ΣΧ2 - (Σ Χ)? 762 - 535.99 - 66.7 - 5758.2. 48 64.936 9. 535.99 - 66.72 ηΣΧΥ - ΣΧ.ΣΥ η· ΣΧ2 - (Σ Χ)? 9 - 5758.2 - 66.7 - 762. 8 2.662 9. 535.99 - (66.7)? Substitute a and b in regression equation formula και = α + Σ 9 = 64.936++ 2.6623 2

y = 64.9364 + 2.6623 x