In: Statistics and Probability
Kasey is trying to add distances to her golf drives. Specifically, she is interested in deterring if club head speed and driving distance are linearly related. Does increasing club head speed increase driving distance. She measured her club-head speed at impact with the golf ball and then measured the distance the golf ball traveled. The data is below
Club head speed (mph) | Distance (yards) |
96 | 257 |
100 | 264 |
103 | 280 |
101 | 260 |
98 | 180 |
99 | 250 |
105 | 285 |
102 | 270 |
Report the linear regression equation and explain what the slope means in this question. Perform a Linear Regression Hypothesis Test at a 5% level of significance. Explain the final decision.
from above slope =6.966 tells us that for increase of 1 unit in club head speed ; on average distance increase by 6.966 yards
b)
as test statistic does not fall in rejection region; we can not reject null hypothesis
we do not have evidence to conclude that there is a linear relationship exist between Club head speed and distance,.