Question

questions 1 (a,b, and c)

1.) The following scatterplot shows the relationship between the age (in years) of 10 randomly selected patients at a physical therapy clinic and how many months they spent in rehabilitation after surgery for a knee injury: s A regression was ran to obtain the fitted line pictured. The output of the regression that can be used to predict the rehabilitation time (P) based on the patient's age (X) is given below: Correlation coefficient (0) 777 Intercepta -251 Slope (b) Linear Equation ya bx) Y-2510 2990X1 Estimate the correlation coefficient that is missing from the table above. a.) b.) Interpret the slope from the output. (Number 1 continued) c.) Interpret the intercept from the output

question is as is, according to professor no variance is needed to answer a,b, or c for question 1

Answer 1

a. The data obtained from scatter plot is

Months Spent im rehabitatioi Age 3 15 un 23 0.5 25 7 36 41 40 Corrrelation coeffocient 0.710122509 12 15 44 10 7. 5 62

b. The slope of regression line is 0.299 which can be interpreted as for unit increase in age rehabilitation time increases by 0.299 months.

c. The intercept of regression line is -2.51 which can be interpreted as at the age of zero age has no rehabilitation time.

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