1. All MC use this image

2. A random sample of independently owned small businesses in Allegheny County was taken. Each was asked to anonymously report the amount of money (in dollars) spent on advertising during 2016 as well as the total amount in sales. The line on the plot is the least squares regression line. What are the hypotheses for determining whether or not advertising cost is a significant predictor of sales?

5 points

QUESTION 33

1. A random sample of independently owned small businesses in Allegheny County was taken. Each was asked to anonymously report the amount of money (in dollars) spent on advertising during 2016 as well as the total amount in sales. The line on the plot is the least squares regression line. Overall, about how far off are the predictions for this regression line?

   	A.	$6.35
   	B.	$2,188.93
   	C.	$25,203.40
   	D.	$20.38
   	E.	$26,403

5 points

QUESTION 34

1. A random sample of independently owned small businesses in Allegheny County was taken. Each was asked to anonymously report the amount of money (in dollars) spent on advertising during 2016 as well as the total amount in sales. The line on the plot is the least squares regression line. What is the residual for a small business that spent $3,500 on advertising costs and actually made $65,000 in sales?

   	A.	+ $4,148.07
   	B.	- $4,148.07

5 points

QUESTION 35

1. A random sample of independently owned small businesses in Allegheny County was taken. Each was asked to anonymously report the amount of money (in dollars) spent on advertising during 2016 as well as the total amount in sales. The line on the plot is the least squares regression line. What is our conclusion about the relationship between advertising costs and sales? Use a 5% level of significance to make your decision.

   	A.	There is strong statistical evidence of a negative, linear relationship between advertising costs and sales.
   	B.	There is strong statistical evidence of a positive, linear relationship between advertising costs and sales.
   	C.	There is no statistical evidence of a linear relationship between advertising costs and sales.

5 points

QUESTION 36

1. A random sample of 20 independently owned small businesses in Allegheny County was taken. Each was asked to anonymously report the amount of money (in dollars) spent on advertising during 2016 as well as the total amount in sales. The line on the plot is the least squares regression line. What is the 95% confidence interval for the slope?

SUMMARY OUTPUT 140000 120000 100000 Regression Statistics Correlation 0.6034 R-Squared 0.3641 Adjusted R 0.3287 Standard Error 26,403 Observations 20 80000 Sales 60000 ANOVA 40000 P-value 0.005 20000 1 Regression Residual Total df SS M SF 7 ,183,614,632 7,183,614,632 10.305 18 12,548,121,322 697,117,851 1919,731,735,954 0 1000 5000 6000 2000 3000 4000 Advertising Intercept Advertising Coefficient -2188.93 20.382 Std. Error 25203.40 6.349 t-Stat -0.087 3.210 P-Value 0.932 0.005 SUMMARY OUTPUT 140000 120000 100000 Regression Statistics Correlation 0.6034 R-Squared 0.3641 Adjusted R 0.3287 Standard Error 26,403 Observations 20 80000 Sales 60000 ANOVA 40000 P-value 0.005 20000 1 Regression Residual Total df SS M SF 7 ,183,614,632 7,183,614,632 10.305 18 12,548,121,322 697,117,851 1919,731,735,954 0 1000 5000 6000 2000 3000 4000 Advertising Intercept Advertising Coefficient -2188.93 20.382 Std. Error 25203.40 6.349 t-Stat -0.087 3.210 P-Value 0.932 0.005