Question: 1. A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a

1. A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y). The results of the regression were: y=bx+ay^=bx+a b=1.352b=-1.352 a=25.119a=25.119 R2=0.741321R2=0.741321

a) Use this to predict the number of situps a person who watches 13.5 hours of TV can do (to 2 decimal places) ________ b) What is the value of the correlation coefficient (to 2 decimal places) ? ________

2. You are given the correlation coefficient r=0.519r=-0.519 and the regression equation y=31.81x+87.87y=-31.81x+87.87. What proportion of the variation in y can be explained by the variation in the values of x? R = _____________ % Report answer as a percentage accurate to one decimal place.

3. GivenR2=0.618 andSST=395.79

SSR = ___________

SSE = ____________

Round answers to 2 decimal places.

4. GivenR2=0.263R2=0.263 andSSE=323.19SSE=323.19,

SST = _________

SSR=________

5. GivenSST=535.92 andSSE=313.79,

SSR = ________

R2 =__________

6. GivenSSR=738.95 andr=0.83,

SST = __________

SSE=________

7. A family physician is trying to predict the number of flu cases she diagnosed by considering the number of flu shots she administered each year for the last 10 years. Given the coefficient of determination, r2=0.725r2=0.725, which of the following statement is always true ?

a) 72.5% of the variability in the number of flu shots administered is explained by the number of flu cases diagnosed.

b)72.5% of the variability in the number of flu cases diagnosed is explained by the number of flu shots administered.

c)There must be a negative correlation between the number of flu cases diagnosed and the number of flu shots administered.

d) There must be a positive correlation between the number of flu cases diagnosed and the number of flu shots administered.

8. From a regression equation r2 = 0.8 and the slope = -0.5. What is the linear correlation coefficient r? r = _________

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