# Question

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?

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?

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