Consider the dataset below with a response variable Y and a predictor variable X. You would like to a fit a i simple linear regression model, y; = Bo + Bix; + ; where g; ~ N(O, 02), and perform a lack-of-fit test to see if the model adequately captures the relationship between X and Y. X 0.15 0.15 0.23 0.28 0.28 0.35 0.35 0.35 Y 20.5 23.5 40.3 43.6 44.8 27.6 25.4 26.9 In the four boxes provided below, enter the numeric values for the components required to compute the F- statistic needed to perform the lack-of-fit test. In the first box, provide SSPE (Sum of Squares of Pure Error). Round your answer to two decimal places. Include two decimal places even if the decimals are zeroes (e.g., 54 should be 54.00 and 54.2 should be 54.20). In the second box, provide SSLF (Sum of Squares of Lack-of-Fit). Round your answer to two decimal places. Include two decimal places even if the decimals are zeroes (e.g., 54 should be 54.00 and 54.2 should be 54.20). In the third box, provide the degrees of freedom for SSPE. Provide your answer as a whole number (integer) without any decimals. In the fourth box provide the degrees of freedom for SSLF. Provide your answer as a whole number (integer) without any decimals. In the fifth box, provide an answer regarding your conclusion for the test. Put "Yes" if there is a lack- of-fit and put "No" if there is not a lack-of-fit. Answer should not include quotation marks. For SSPE and SSLF, round intermediate answers in computations to four decimal places, but your fina/ answer should be rounded to two decimal places. Please take care to follow these instructions as the answer will be marked incorrect if not rounded correctly