Show work in order to receive credit regression output below for the Olympic yea
ID: 2946476 • Letter: S
Question
Show work in order to receive credit regression output below for the Olympic year and Men's Olympic Pole Vault heights in meters for the gold medal winner in problems 11 through 16 Scatterplot for Hen's Olympic Pole Vault Height in Meters s.s 4.5 3.5 C 1950 Olympic Year 1900 1920 1940 1980 2000 2020 Simple linear regression results: Dependent Variable: Height in Meters Independent Variable: Years Height in Meters-43.895655 0.02493889 Years Sample size: 28 R (correlation coefficient)-0.96927407 R-sq-0.93949222 Estimate of error standard deviation: 0.23668875 Parameter estimates: Parameter Estimate Std. Err. AlternativeDF T-Stat P-value Intercept 43.895655 2.4316993 Slope 0.024938890.001241222 0 26-18.051432Explanation / Answer
Q 11 Answer: From output it is clear that there is strong positive linear relationship between Olympic Year and Men's Olympic Pole Vault height in meters for the gold medal winner.
Q 12 Answer: Height (in meters) = -43.895655+0.02493889 Years
Q 13 Answer: The slope of the regression line is b1 = 0.02493889
Interpretation : The estimated change in the average value of height ( in meters) as a result of unit change in Olympic years.
Q 14 Answer: Intercept of the regression line is b0 = -43.895655
Interpretation : At Olympic year zero, then the average height ( in meters) is -43.895655 , Thus y -intercept doen not have the practical interpretation, because we cannot consider height in negative
Q 15 Answer: When Olympic Year =2028
Height (in meters) = -43.895655+0.02493889 * 2028 = 6.68
Q 16 Answer: The strength of the linear relationship is indicated by the Correlation Coefficient value , i.e.
R = 0.96927407
There is strong positive linear relationship between Olympic Year and Men's Olympic Pole Vault height in meters for the gold medal winner.
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