High daily temperatures and times (in minutes) were given for women who won the New York...

High daily temperatures and times (in minutes) were given for women who won the New York City marathon in recent years. Results are listed in the table below. Is here a correlation between temperature and winning time? Use α=.05. What is the best predicted finishing time for a day with a high temperature of 70° F?
x(° F) 55 61 49 62 70 73 51 57
y(minutes) 145.3 148.7 148.3 148.1 147.6 146.4 144.7 147.5

r:
critical value:
Significant linear correlation? Yes or No?
Regression equation:
Best predicted time on 70° day:

Solutions

Expert Solution

r =0.180

The critical value at 6 (n-2=8-2) degrees of freedom and at 0.05 level of significance =0.707

No, because the value of r (0.180) id less than critical value> hence we can conclude that there is no significant linear correlation.

Regression equation: y = 145.2397 +0.0307 x (Where y= time, x =temperature)

Best predicted time on 70° day:

y = 145.2397 +0.0307 (70)

y=147.3887 minutes

Hence the Best predicted time on 70° day is 147.3887 minutes

orchestra answered 1 year ago

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