Lab 3

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Collin County Community College District *

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1342

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Mathematics

Date

May 2, 2024

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pdf

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2

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MATH 1342 Name ___________________________ Elementary Statistical Methods Lab Ch.4 – Linear Regression Critical Thinking; Communication Skills; Empirical/Quantitative Skills 1. Researchers wondered whether the size of a person’s brain was related to the individual’s mental capacity. They selected a sample of right-handed introductory psychology students who had SAT scores higher than 1350. The subjects took the Wechsler Adult Intelligence Scale-Revised to obtain their IQ scores. MRI scans were performed at the same facility for the subjects. The scans consisted of 18 horizontal MR images. The computer counted all pixels with a nonzero gray scale in each of the 18 images, and the total count served as an index for brain size. a) On the axes above, draw a scatter diagram treating MRI count as the explanatory variable and IQ as the response variable. Label the graph! b) Test whether there is a linear relationship between MRI count and IQ. MRI Count IQ 816,932 133 951,545 137 991,305 138 833,868 132 856,472 140 852,244 132 790,619 135 866,662 130 857,782 133 948,066 133
Lab Ch. 4 continued 2. One of the biggest factors in determining the value of a home is the square footage. The following data represent the square footage and asking price (in thousands of dollars) for a random sample of homes for sale in Naples, Florida, in December 2010. a) On the axes above, draw a scatter diagram treating the square footage as the explanatory variable and asking price as the response variable. Label the graph! There is a linear relationship between the square footage and asking price. For each of the following, use the proper format for the monetary values. b) State the linear correlation coefficient c) Find the least-squares regression line. d) Predict the asking price if the square footage is 1500. e) Would a prediction for the asking price of a home that is 3350 square feet be reasonable? Why or Why not? Use a complete sentence and proper grammar. f) Interpret the slope. Use a complete sentence and proper grammar. g) Is it reasonable to interpret the y-intercept? Why or why not? Square Footage Asking Price ($) 1148 154,000 1096 159,900 1142 169,000 1288 169,900 1322 170,000 1466 179,900 1344 180,000 1544 189,000 1494 189,900
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