6. The following table gives information on the temperature in Kansas City and the volume of ice cream (in pounds) sold

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6 The Following Table Gives Information On The Temperature In Kansas City And The Volume Of Ice Cream In Pounds Sold 1 (210.9 KiB) Viewed 25 times

6. The following table gives information on the temperature in Kansas City and the volume of ice cream (in pounds) sold at an ice cream parlor for a random sample of eight days during a recent summer. Temperature 93 86 Ice cream sold 202 175 77 123 89 198 98 232 102 267 87 158 79 117 2 Take temperature as a predictor and volume of ice cream sold as a response. Answer the following questions based on the following part of the Minitab Computer output. The regression equation is icecream - - 337 + 5.86 temp Stdev Predictor Constant temp Coef -336.80 5.8599 42.91 t-ratio -7.85 12.19 P 0.000 0.000 0.4808 S = 10.99 R-sq - 96.1% (a) Plot the scatter diagram and the regression line. (b) Construct a 95% confidence interval for the intercept, Bo. (c) What is the implication for the relationship of the volume of ice cream sold and the temperature when Bi=0? (d) Test Ho: B1 = 0, versus H :B. #0 at 1% significance level based on i) T-test statistic ii) on P-value. (e) What is the estimate for o, the standard deviation of the error? (f) What is the value of the correlation coefficient, r? Is the linear relationship between the volume of ice cream sold and the temperature strong? Tell why. (g) From and Stdev in your compupter output, calculate Sex (h) Estimate the average volume of ice cream sold when the temperature is 100 degree and provide the 95% confidence interval. (i) Predict the volume of ice cream sold when the temperature is 100 degree for a day and provide the 95% prediction interval.