Which histograms are approximately symmetric and bell-shaped? 2 300 150 0 TT 250 100 0.0 TTTTTT 0 ורט -3 -! 204 1.0 A -тш -1 E 2.0 1 09 O 092 100 O TTTTT B 8 3 250 100 0 -50 Lo T5G 150 F 150 50 0 200 100 U 5 15 D 25
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- A professional golfer is shopping for a new brand of golf ball. She likes most of the features of one particular brand, but she wants to make sure that the brand has a desirable spin rate (the rate at which the ball spins on its axis after being struck by a golf club). To test the spin rate of this new brand of ball, the golfer hits the brand of ball on 76 shots, and a computer measures the spin rate for each shot. The computer then produces the following histogram summarizing the 76 spin rates. 25 20 15 10 5 0 Frequency 4 12 13 22 19 6 5000 5500 6000 6500 7000 7500 8000 Spin rate (in revolutions per minute) Based on the histogram, estimate the mean spin rate (in revolutions per minute) for the sample. Carry your intermediate computations to at least four decimal places, and round your answer to the nearest integer.Which value of r indicates a stronger correlation than +0.40 0.38 -0.30 -0.80 0Compute the Correlation Coefficient r, to identify whether there is a relationship between the two variables (Summative 1 and Summative 2 scores). x (1st Summative Test Scores) y (2nd Summative Test Scores) 25 25 25 25 25 25 16 15 25 25 15 25 23 25 25 25 15 13 23 20 Please type the answer or write it in a clearer format
- Because the data in this chart are displayed as a line with no data point markers, this indicates that the dependent variable data are A) Measured (or Empirical), Numeric B) Theoretical (or Calculated), Numeric C) Measured (or Empirical), Categorical D) Theoretical (or Calculated), CategoricalWhich of the scatter diagrams below suggests a strong positive linear relationship between the x and y variables?Which of the scatterplots in the picture show each other the following? a) no association? b) a negative association? c) a linear association? d) a weak or moderate association? e) a very strong association?
- Compute the Correlation Coefficient r, to identify whether there is a relationship between the two variables (Summative 1 and Summative 2 scores). x (1st Summative Test Scores) y (2nd Summative Test Scores) 25 25 25 25 25 25 16 15 25 25 15 25 23 25 25 25 15 13 23 20A student has taken 4 area exams designed to measure particular intellectual abilities. The following table identifies each test, summarizes its characteristics, and provides the student’s score on it. Assume that the possible scores on each test are normally distributed. Area Test ? ? Student’s Score Verbal Ability 58.50 6.50 63.00 Visualization 110.00 15.00 102.50 Memory 85.00 11.50 98.00 Spatial Relations 320.00 33.50 343.00 a. Change each student’s score to its z-score equivalent b. On which test did the student score in the highest position? c. On which test did the student score in the lowest position? d. What is the percentile rank of the student’s Verbal Ability? e. What percentage of the students who took the Spatial Relations test scored higher than the student? f. Between what two scores on Memory did the middle 95% of students lie? g. What percent of students had scores between X = 95 and X = 110 on Visualization?Six data points are given in the table below. Which statement identifies the correlation coefficient between the two variables and the correct interpretation of the correlation coefficient as a measure of the strength of the linear association? r=0.9591 ; The correlation coefficient indicates a weak, positive, linear correlation. ⊝ r=0.9199 ; The correlation coefficient indicates a strong, negative, linear correlation. ⊝ r=0.9591 ; The correlation coefficient indicates a strong, positive, linear correlation. ⊝ r=0.9199 ; The correlation coefficient indicates a weak, negative, linear correlation.
- Suppose that a customer is purchasing a car. He conducts an experiment in which he puts 10 gallons of gas in the car and drives it until it runs out of gas. He conducts this experiment 15 times on each car and records the number of miles driven. Full data set Car 1 216 243 205 242 239 297 295 172 270 251 165 310 265 316 278 Car 2 231 220 223 205 245 257 242 292 248 252 287 255 250 293 251 ..... Describe each data set, that is determine the shape, center, and spread. Sample mean for Car 1 x=__________mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Sample mean for Car 2 x=___________mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Median for Car 1 M=____________mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Median for Car 2 M=___________mi / 10 gal (Type…Which of the following scatter plots that true linear association?Write the equation of the line for predicting Sales (Y) using the amount of Advertising (X) as the pre- dictor. Find the correlation and use it to make a statement, in your own words, about the quality of the predic- tion line. Advertising dollars Sales 5.5 100 5.8 110 6.0 112 5.9 115 6.2 117 6.3 116 6.5 118 6.6 120 6.4 121 6.5 120 6.7 117 6.8 123 5.4 100 6.3 108 6.2 110 5.8 115 6.2 117 6.6 117 6.8 119 6.4 119 6.9 122 6.9 119 7.0 119 6.5 122