Time Order Size Time Order Size 18 12 27 25 2 12 S67 $27 S92 $198 $48 $40 5 38 4

Question

Time Order Size Time Order Size 18 12 27 25 2 12 S67 $27 S92 $198 $48 $40 5 38 4 37 S61 $364 $132 $164 $79 $249 Suppose an Internet retailer would like to investigate the linear relationship between the amount of time in minutes a purchaser spends on its Web site and the amount of money he or she spends on an order. The table to the right shows the data from a random sample of 12 customers. Complete parts a through c. 10 a. Construct a scatter plot for these data using technology Choose the correct scatter plot below. OA. 40 40 40 40 b. Using = 0.10, determine if the slope for the regression equation is statistically significant. Determine the null and alternative hypotheses

Explanation / Answer

The statistical software output for this problem is:

Simple linear regression results:
Dependent Variable: Order Size
Independent Variable: Time
Order Size = 45.677426 + 4.5890136 Time
Sample size: 12
R (correlation coefficient) = 0.55718776
R-sq = 0.3104582
Estimate of error standard deviation: 88.18621

Parameter estimates:

Analysis of variance table for regression model:

Hence,

a) Option B is correct.

b) t = 2.12

p - Value = 0.0598

is; less

c) does appear

Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept 45.677426 45.911957 0 10 0.99489173 0.3433 Slope 4.5890136 2.162709 0 10 2.1218822 0.0598

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