QUESTIONS FOR CHI SQUARE (^2) GOODNESS OF FIT TEST1. SRS?2. At least 5 observations in each expected cell?3. Do the expected proportions total 1? If yes, use Chi-Square (2) degrees of freedom = (#of categories - 1)Ho: THE DATA FITS THE DISTRIBUTIONHa: THERE IS NOT A FIT

7. The following table gives information on the lowest cost ticket price (in dollars) and the average attendance (rounded to the nearest thousand) for the past year for six programs at the village stadium. Ticket Price 28.50 16.50 24.00 35.50 39.50 26.00 Attendance | 56 65 71 69 55 42 a. Find the regression equation. b. Interpret the slope in terms of this problem. c. Is the y-intercept in this equation useful as a predictor of the attendance? d. Find and interpret the coefficient of determination in this problem. e. Find the correlation coefficient. f. Find the predicted attendance if the ticket price is $30.00. g. Find the predicted value if the ticket price is $40. 8. The Fish and Game Department stocked Lake Lulu with fish in the following proportions: 30% catfish, 15% bass, 40% bluegill, and 15% pike. Five years later they sampled the lake to see if the distribution has changed. They found the 500 fish in the sample were distributed as follows: 120 catfish, 85 bass, 220 bluegill, and 75 pike. In the 5-year interval, did the distribution of fish change at a = .05? 9. A child psychiatrist is studying the mental development of children. A random sample of nine children was given a standard set of questions appropriate to the age of each child. The number of irrelevant responses to the questions was recorded for each child. Age( in years) 2 3 4 5 9 10 11 12 No. of irrelevant 15 responses 15 12 13 10 8. .6 5 a. Does the scatterplot indicate that a linear model is probable? b. What does the coefficient of determination tell you in this problem? c. What does the slope tell you in this problem? d. Is the y-intercept helpful in this problem? Why? e. If a child is 9.5 years old, what do you predict for the number of irrelevant responses? If a child is 13.5 years old, what do you predict for the number of irrelevant responses