17. [4.5/27.5 Points] DETAILS MY NOTES ASWSBE14 14.TB.5.028. PREVIOUS ANSWERS PRACTICE ANOTHER You may need to use the appropriate technology to answer this question. The owner of a retail store randomly selected the following weekly data on profits and advertising cost. (a) (b) () (d) Week | Advertising Cost ($) | Profit ($) 1 0 205 2 50 275 3 250 415 4 150 255 5 125 320 Write down the appropriate linear relationship between advertising cost and profits. The appropriate linear relationship is E(y) = 50 + ,6'1x where y is |profit| # and x is |advertising cost| Which variable is the dependent variable? Which variable is the independent variable? The dependent variable is |profit| # , and the independent variable is |advertising cost| Develop the least squares estimated regression equation. (Round your numerical values to four decimal places.) )7 = D Predict the profits (in dollars) for a week when $205 is spent on advertising. (Round your answer to two decimal places.) s ) Using a t-test at the 5% level of significance, test to determine if the relationship between advertising costs and profits is statistically significant. State the null and alternative hypotheses. (Enter != for # as needed.) Find the value of the test statistic. (Round your answer to three decimal places.) L] Find the p-value. (Round your answer to four decimal places.) What is your conclusion? H O Reject HO. We conclude that the relationship between advertising cost and profit is significant. O Do not reject HO. We cannot conclude that the relationship between advertising cost and profit is significant. O Reject H,- We cannot conclude that the relationship between advertising cost and profit is significant. (O Do not reject Hgy. We conclude that the relationship between advertising cost and profit is significant