Question

A grocery store manager did a study to look at the relationship between the amount of time (in minutes) customers spend in the store and the amount of money (in dollars) they spend. The results of the survey are shown below.

Time	18	24	9	32	12	17	22	28	15	21	19
Money	31	30	26	79	24	37	45	88	22	35	25

A. r =   [ Select ] 0.19", "0.81", "0.37", "0.92"]         Round to three decimal places.

B. r² =  [ Select ]                       ["0.92", "0.66", "0.58", "0.93"]         Round to three decimal places.

C. Find the equation of the least squares regression line:
y =   [ Select ]                       ["12.53", "-39.31", "-13.55", "-10.39"]         +   [ Select ]                       ["2.72", "2.19", "6.44", "3.29"] x  Round to three decimal places.

D. What does the regression line predict for the amount of money a person will spend who shops for 20 minutes? [ Select ] ["40.55", "40.93", "39.84", "41.29"] Round to the nearest cent (2 decimal places).

E. Test the hypothesis that there is a linear correlation between the time spent in the market and the money spent at the market. Use a level of significance of 0.05.

H₀: rho = 0
H_a: rho Not Equal to 0

p-Value = [ Select ]    ["0.004", "0.047", "0.002", "0.182"]         Round your answer to three decimal places.

[ Select ] ["There is statistically significant evidence to support the claim that there is a correlation between the time spent and the money spent at the market.", "There is insufficient evidence to support the claim that there is a correlation between the time spent and the money spent at the market."]      

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Question

Answer 1

Applying regression:

A) r = 0.81

B) r² = 0.66

C) equation of the least squares regression line y =-13.55+2.72x

D) "40.93

E) p-Value = 0.002

There is statistically significant evidence to support the claim that there is a correlation between the time spent and the money spent at the market."