answer all questions with explanation

An article in Optical Engineering ["Ope rating Curve Extraction of a Correlator's Filter" {2004. Vol. 43, pp. 2775-2779)] reported on use of an optical correlator to perform an experiment by varying brightness and contrast. The resulting modulation is characterized by the useful range of gray levels. The data are shown below: Brightnessl}: S4 61 65 100 100 100 50 57 54 Contrastl%l: 56 80 7O 50 65 80 25 35 26 Usefulrangelng): 96 50 50 112 '96 30 155 144 255 (3] Calculate 95% condence intervals on each regression coefcient. Round your answers to 2 decimal places leg. 98.76]. a: 5.5.3 a: {b} Calculate a 90% condence interval on mean useful range when brightness I 70 and contrast I 30. Round your answer to 1 decimal place leg. 98.7}. (cl Calculate a 95% prediction interval on useful range for the same values of the regressors used in the previous part. Round your answer to 1 decimal place leg. 93.7). I a... I | (cl) Calculate a 98% condence interval and a 98% prediction interval on useful range when brightness = 50 and contrast = 25. Round your answers to 1 decimal place leg. 98.7)