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In: Statistics and Probability

Temperature (x) 65 70 75 80 85 90 95 100 105 Number of ice cream cones...

Temperature (x) 65 70 75 80 85 90 95 100 105
Number of ice cream cones sold per hour (y) 8 10 11 13 12 16 19 22 23
  1. Calculate the linear correlation coefficient r, for temperature (x) and number of ice cream cones sold per hour (y). (round to 3 decimal place)
  2. Is there a linear relation between the two variables x, and y? If yes, indicate if the relationship is positive or negative. (Hint : use the Critical Value table)
  3. Construct the least squares regression line for temperature (x) and number of ice cream cones sold per hour (y).(round to 3 decimal place)
  4. Predict the number of ice cream cones sold per hour when the temperature is 88º. (round to nearest whole number)
  5. Would it be reasonable to use the least squares regression line to predict the number of ice cream cones sold when it is 50 degrees?

Bonus Question Read this week announcement and answer the following questions for a given regression line the week #3 announcement.

a) Interpret the slope?

b) Can you interpret y-intercept? Explain your answer.

c) Explain, why we should not use the given regression line to predict distance when club-head speed is 140 mph?

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