The following table gives the temperatures (in degrees Fahrenheit) at 6 PM and the attendance (rounded to hundreds) at a minor league baseball team€™s night games on 7 randomly selected evenings in May.

a. Do you think temperature depends on attendance or attendance depends on temperature?
b. With temperature as an independent variable and attendance as a dependent variable, what is your hypothesis about the sign of B in the regression model?
c. Construct a scatter diagram for these data. Does the scatter diagram exhibit a linear relationship between the two variables?
d. Find the least squares regression line. Is the sign of b the same as the one you hypothesized for B in part b?
e. Give a brief interpretation of the values of the y-intercept and slope calculated in part d.
f. Compute r and r2, and explain what they mean.
g. Predict the attendance at a night game in May for a temperature of 60oF.
h. Compute the standard deviation of errors.
i. Construct a 99% confidence interval for B.
j. Testing at a 1% significance level, can you conclude that B is positive?
k. Construct a 95% confidence interval for the mean attendance at a night game in May when the temperature is 60oF.
l. Make a 95% prediction interval for the attendance at a night game in May when the temperature is 60oF.
m. Using a 1% significance level, can you conclude that the linear correlation coefficient is positive?

Transcribed Image Text:

Temperature Attendance 7050 65 48 5 53 2 12 15 8 20 18