The table below gives the data on hand strength collected from college freshman using a grip meter. The preferred row gives the hand strength of each student's preferred hand while the nonpreferred column gives the hand strength of their nonpreferred hand. Preferred 52 49 47 45 20 30 52 39 2521 Nonpreferred 49 42 44 43 22 29 49 32 2622 Preferred 2726 28 54 32 45 28 403253 Nonpreferred 24 18 25 50 26 43 25 36 30 47 (a) Use a calculator or computer to find the least squares regression line, y = mx + b, where the independent variable a denotes the grip strength of the preferred hand and the dependent variable y denotes the grip strength of the nonpreferred hand. Enter the equation for the line below. (Use at least four decimal places in any constants in your answer.) y = (b) What would the predicted grip strength in the nonpreferred hand be for a student with a preferred hand strength of 37 kg? strength = kg (round to nearest whole number) (c) For each of the preferred grip strengths values, decided whether you would use extrapolation or interpolation to approximate the value of the corresponding nonpreferred grip strength. (i) A preferred grip strength of 30 kg? Interpolation (ii) A preferred grip strength of 37 kg? Interpolation (iii) A preferred grip strength of 59 kg? Extrapolation (iv) A preferred grip strength of 18 kg? Extrapolation
The table below gives the data on hand strength collected from college freshman using a grip meter. The preferred row gives the hand strength of each student's preferred hand while the nonpreferred column gives the hand strength of their nonpreferred hand. Preferred 52 49 47 45 20 30 52 39 2521 Nonpreferred 49 42 44 43 22 29 49 32 2622 Preferred 2726 28 54 32 45 28 403253 Nonpreferred 24 18 25 50 26 43 25 36 30 47 (a) Use a calculator or computer to find the least squares regression line, y = mx + b, where the independent variable a denotes the grip strength of the preferred hand and the dependent variable y denotes the grip strength of the nonpreferred hand. Enter the equation for the line below. (Use at least four decimal places in any constants in your answer.) y = (b) What would the predicted grip strength in the nonpreferred hand be for a student with a preferred hand strength of 37 kg? strength = kg (round to nearest whole number) (c) For each of the preferred grip strengths values, decided whether you would use extrapolation or interpolation to approximate the value of the corresponding nonpreferred grip strength. (i) A preferred grip strength of 30 kg? Interpolation (ii) A preferred grip strength of 37 kg? Interpolation (iii) A preferred grip strength of 59 kg? Extrapolation (iv) A preferred grip strength of 18 kg? Extrapolation
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The table below gives the data on hand strength collected from college freshman using a grip meter. The preferred row gives the hand strength of each student's
preferred hand while the nonpreferred column gives the hand strength of their nonpreferred hand.
Preferred 52 49 47 45 20 30 52392521
Nonpreferred 49 42 44 43 22 29 49 32 2622
Preferred 27 26 28 54 32 45 28 403253
Nonpreferred 24 18 25 50 26 43 25 363047
(a) Use a calculator or computer to find the least squares regression line, y = mx + b, where the independent variable a denotes the grip strength of the preferred
hand and the dependent variable y denotes the grip strength of the nonpreferred hand. Enter the equation for the line below. (Use at least four decimal places in any
constants in your answer.)
y =
(b) What would the predicted grip strength in the nonpreferred hand be for a student with a preferred hand strength of 37 kg?
strength =
kg (round to nearest whole number)
←
(c) For each of the preferred grip strengths values, decided whether you would use extrapolation or interpolation to approximate the value of the corresponding
nonpreferred grip strength.
(i) A preferred grip strength of 30 kg? Interpolation
(ii) A preferred grip strength of 37 kg? Interpolation
(iii) A preferred grip strength of 59 kg? Extrapolation ✓
(iv) A preferred grip strength of 18 kg? Extrapolation
V
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