tion 42 Hm Page 2 of 8 Section 4.2 Homework- 3. The leassquares regression equat
ID: 3061530 • Letter: T
Question
tion 42 Hm Page 2 of 8 Section 4.2 Homework- 3. The leassquares regression equation is y 880x + 13.099 where y is the median income and x is the percentage of 25 years and older with at least a bachelor's degree in the region. The scatter diagram indicates a linear relation between the two variables with a correlation coefficient of 0.7921. Complete parts (a) through 15 20 26 30 33 4o 4 o 55 Bachelors % (a) Predi median income of a region in which 25% of adults 25 years and older have at least a bachelor's degree. ct (Round to the nearest dollar as needed.) (b) In a particular region, 28.9 percent of adulits 25 years and older have at least a bachelor's degree. The median income in this region is $39,197. Is this income higher than what you would expect? Why? This is (1) than expected because the expected income is $ (Round to the nearest dollar as needed.) e) Interpret the slope. Select the correct choice below and illinl the answer box to complete your choice (Type an integer or decimal. Do not round.) O A. For a median income of $0, the percent of adults with a bachelor's degree is 0 B. For 0% of adults having a bachelor's degree, the median income is predicted to be For every dolar increase in median income, the percent of adults having at least a bachelor's degree is ° C. %, on average For every percent increase in adults having at least a bachelors degree, the median income increases by $ D. , on average (d) Explain why it does not make sense to interpret the y-intercept Choose the correct answer below A. It does not make sense to interpret the y-intercept because a y-value of 0 is outside the scope of the model. O B. It does not make sense to interpret the y-intercept because a y-value of 0 does not make sense. O c. It does not make sense to interpret the y-Intercept because an x-value of O does not make sense 0 D. It does not make sense to interpret the y-intercept because an x-value of 0 is outside the scope of the model (1) O higher O lowerExplanation / Answer
Result:
a).
predicted y =788.0*25+13099 = 32799.00
b).
predicted y =788.0*28.9+13099 =35872.2
This is higher than the expected because the expected income is $35872.20
c).
D. For every percent increase in adults having atleast a bachelors degree, the median income increases by $788.0 on average.
d).
D. it does not make sense to interpret the y intercept because an x value of 0 is outside the scope of the model.
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