You may need to use the appropriate technology to answer this question. Given below are five observations collected in a regression study on two variables x (independent variable) and y (dependent variable). x y 10 6 20 4 30 3 40 2 50 1 (a) Develop the least squares estimated regression equation. ŷ = (b) At the 5% level of significance, perform a t-test and determine whether or not the slope is significantly different from zero. State the null and alternative hypotheses. (Enter != for ≠ as needed.) H0: Ha: Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = What is your conclusion? Do not reject H0. We cannot conclude that the slope is significantly different from zero. Reject H0. We can conclude that the slope is significantly different from zero.     Do not reject H0. We can conclude that the slope is significantly different from zero. Reject H0. We cannot conclude that the slope is significantly different from zero. (c) Perform an F-test to determine whether or not the model is significant. Let = 0.05. State the null and alternative hypotheses. (Enter != for ≠ as needed.) H0: Ha: Find the value of the test statistic. Find the p-value. (Round your answer to three decimal places.) p-value = What is your conclusion? Do not reject H0. We can conclude that the model is significant. Reject H0. We cannot conclude that the model is significant.     Do not reject H0. We cannot conclude that the model is significant. Reject H0. We can conclude that the model is significant. (d) Compute the coefficient of determination. (Round your answer to four decimal places.) (e) Compute the correlation coefficient. (Round your answer to four decimal places.)