University:
Missouri State University
Course:
MTH 343 | Foundations of Probability and Statistics for Teachers
Academic year:

2019
Views:

488

Pages:

2
Author:

aterizareofn

STATISTICS FREE-RESPONSE QUESTIONS 5. A student measured the heights and the arm spans, rounded to the nearest inch, of each person in a random sample of 12 seniors at a high school. A scatterplot of arm span versus height for the 12 seniors is shown. Arm Span (inches) 72 71 OK 66 04 02- 60 62 64 66 68 70 72 Height (inches) There is a moderately strong, positore, linear relationship. blw height (in) and arm span (in). (a) Based on the scatterplot, describe the relationship between arm span and height for the sample of 12 seniors. Let x represent height, in inches, and let y represent arm span, in inches. Two scatterplots of the same data are shown below. Graph 1 shows the data with the least squares regression line graph 2 shows the data with the 11.74+0.8247x, and line slope = 1 Arm Span (inches) 72- 70- 64- 62- 50- GRAPHI Arm Span (inches) slope GRAPH 2 72 7() 68 4 62 60 60 62 64 66 68 70 72 Height (inches) 60 62 64 66 68 70 72 Height (inches) STATISTICS FREE-RESPONSE QUESTIONS (b) The criteria described in the table below can be used to classify people into one of three body shape categories: square, tall rectangle, or short rectangle. Square Tall Rectangle Short Rectangle Arm span is equal to height. Arm span is less than height. Arm span is greater than height. (1) For which graph, 1 of 2, the line helpful in classifying a student's body shape as square, tall rectangle, or short rectangle? Explain. If armspan equals helsht, then y=x, So this line should be used. (ii) Complete the table of classifications for the 12 seniors. y< X yx Classification Square Tall Rectangle Short Rectangle Frequency 3 4 5 peint the line below line above line (c) Using the best model for prediction, calculate the predicted arm span for a senior with height 61 inches. = 11.744.8247 (61) 62.0467 in