Certain car manufacturers install a gauge that tells the driver how many miles they can drive until they will run out of gas. A study was conducted to test the accuracy of these gauges. Each driver was assigned a certain gauge reading until empty to watch for. When their car announced it had that many miles remaining until empty, they began to measure their distance traveled. After they ran out of gas, they reported the distance they were able to drive (in miles) as well as the gauge reading they were assigned (in miles). Here is computer output showing the regression analysis:   Identify and interpret the slope of the regression line used for predicting the actual distance that can be driven based on the gauge reading. (A) Slope = 1.1889. The predicted distance the drivers were able to drive increases by 1.1889 miles for each additional mile reported by the gauge. (B) Slope = 0.0457. The predicted distance the drivers were able to drive increases by 0.0457 miles for each additional mile reported by the gauge. (C) Slope = –0.7928. The predicted distance the drivers were able to drive decreases by 0.7928 miles for each additional mile reported by the gauge. (D) Slope = 1.1889. For each additional mile reported by the gauge, the drivers were able to drive an additional 1.1889 miles. (E) Slope = 0.0457. For each additional mile reported by the gauge, the drivers were able to drive an additional 0.0457 miles.

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Author:Amos Gilat
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Certain car manufacturers install a gauge that tells the driver how many miles they can drive until they will run out of gas. A study was conducted to test the accuracy of these gauges. Each driver was assigned a certain gauge reading until empty to watch for. When their car announced it had that many miles remaining until empty, they began to measure their distance traveled. After they ran out of gas, they reported the distance they were able to drive (in miles) as well as the gauge reading they were assigned (in miles). Here is computer output showing the regression analysis:

 

Identify and interpret the slope of the regression line used for predicting the actual distance that can be driven based on the gauge reading.

  • (A) Slope = 1.1889. The predicted distance the drivers were able to drive increases by 1.1889 miles for each additional mile reported by the gauge.
  • (B) Slope = 0.0457. The predicted distance the drivers were able to drive increases by 0.0457 miles for each additional mile reported by the gauge.
  • (C) Slope = –0.7928. The predicted distance the drivers were able to drive decreases by 0.7928 miles for each additional mile reported by the gauge.
  • (D) Slope = 1.1889. For each additional mile reported by the gauge, the drivers were able to drive an additional 1.1889 miles.
  • (E) Slope = 0.0457. For each additional mile reported by the gauge, the drivers were able to drive an additional 0.0457 miles.
Regression Analysis: Distance versus Gauge Reading
SE Coef
3.2114
Predictor
Coef
Constant
-0.7928
-0.2469
0.8060
Gauge
0.0457
1.1889
26.0310
0.0000
s = 7.0032
= 0.9312
R-Sq
0.9326
R-Sq (adj)
Transcribed Image Text:Regression Analysis: Distance versus Gauge Reading SE Coef 3.2114 Predictor Coef Constant -0.7928 -0.2469 0.8060 Gauge 0.0457 1.1889 26.0310 0.0000 s = 7.0032 = 0.9312 R-Sq 0.9326 R-Sq (adj)
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