Automobile racing, high-performance driving schools, and driver education programs run by automobile clubs continue to grow in popularity. All these activities require the participant to wear a helmet that is certified by the Snell Memorial Foundation, a not-for-profit organization dedicated to research, education, testing, and development of helmet safety standards. Snell "SA" (Sports Application)-rated professional helmets are designed for auto racing and provide extreme impact resistance and high fire protection. One of the key factors in selecting a helmet is weight, since lower weight helmets tend to place less stress on the neck. The data in the Excel Online file below show the weight and price for 18 SA helmets. Construct a spreadsheet to answer the following questions.
Automobile racing, high-performance driving schools, and driver education programs run by automobile clubs continue to grow in popularity. All these activities require the participant to wear a helmet that is certified by the Snell Memorial Foundation, a not-for-profit organization dedicated to research, education, testing, and development of helmet safety standards. Snell "SA" (Sports Application)-rated professional helmets are designed for auto racing and provide extreme impact resistance and high fire protection. One of the key factors in selecting a helmet is weight, since lower weight helmets tend to place less stress on the neck. The data in the Excel Online file below show the weight and price for 18 SA helmets. Construct a spreadsheet to answer the following questions.
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Part c.
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After reading these instructions delete all text in this shaded area.
Use the XLMiner Analysis ToolPak to conduct your Linear Regression analysis.
After deleting all text in this shaded area, set the output range in the ToolPak to the top left cell of this area (F22).
Your Linear Regression analysis output should fit into this shaded
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100% +](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbc3ad949-79b2-4a66-83f9-922936cf2321%2Fb3a98300-f395-4004-bef1-e0d484dc0066%2Fyuas2wd_processed.png&w=3840&q=75)
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The regression equation is (to 1 decimal)
Price (pred) =
+
R-Sq
R-Sq (adj)
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Weight (oz)
b. Does there appear to be any relationship between these two variables?
There appears to be a negative
linear relationship between the two variables. The heavier helmets tend to be less expensive.
c. Develop the estimated regression equation that can be used to predict the price given the weight. Also report the standard error of the estimate,
R-sq, and
R-sq adj.
S =
We can conclude
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=
Check My Work
Weight
(to 4 decimals)
(to 4 decimals)
(to 4 decimals)
d. Test for the significance of the relationship at the .05 level of significance.
P-value is
(to 4 decimals).
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that the two variables are related.
e. Did the estimated regression equation provide a good fit?
R-sq is
(to 4 decimals).
The estimated regression equation provided a good
Reset Problem
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fit.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbc3ad949-79b2-4a66-83f9-922936cf2321%2Fb3a98300-f395-4004-bef1-e0d484dc0066%2Fce5ku6b_processed.png&w=3840&q=75)
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