solve the question

1With reference to Exercise 11.3 on page 398, {a} evaluate 52; {5) construct a 99% condence interval for u; {c} construct a 93% condence interval for 161. 11.3 The amounts of a chemical compound vthat dissolved in we grams otvvater at various temperatures I were recorded as follows: I {OC} 1v {grams} o s s s 15 12 1o 14 so 25 21 24 45 31 33 25 so 44 35 4s 75 45 51 44 {a} Find the equation of the regression line. {5) Graph the line on a scatter diagram. {c} Estimate the amount Df chemical that Will dissolve in 100 grams of water at 5C!\" C. USE the data set 3; a: T 2 5t] 15 1011] 30 4t] 1t} 7t] '20 {3} Plot the data. {h} Fit a regression line through the origin. is} Plot the regression line on the graph with the data. {d} Give a general formula {in terms of the pi and the slope s1} for the esh'mator of 02. {e} owe a formula forVar (i ) r= 1, 2, . . . , n, for this case. if} Plot 95% condence limits for the mean response on the graph around the regression line. \fThe elecin'c power consumed each month bv a chemical plant is thought to be related to the average ambient temperature 11, the number of days in the month :2, the average product purity:r x3, and the tons of product produced 14. The past vear's historical data are available and are presented in the following table. 9 35 3E 3% 3M 249 25 24 91 199 235 31 21 99 95 299 45 24 33 1 19 224 59 25 ST 55 391 55 25 91 94 315 7'2 25 94 99 399 59 25 ST 9? 295 54 25 95 95 25? 7'5 24 SS 1 19 2'75 59 25 91 195 288 59 25 99 199 251 33 23 S9 98 {a} Fit a multiple linear regression model using the above data set. {b} Predict power consumption fora month in which x1 = T5\" F, x2 = 24 days, 13 = 90%, and x4 = SSIDHS. \f\fIn Relief frbm Arthritis published by Thorsons Publishers, Ltd., John E. Crolt claims that over 40% of those who suffer from osteoarthritis receive measurable relief from an ingredient produced bv a particular species of mussel found off the coast of New Zealand. To test this claim, the mussel extract is to be given to a group of i" osteoarthritic patients. If 3 or more ofthe patients receive relief, we shall not reject the null hypothesis that p = [14; otherwise, we conclude that p a: o4. {a} Evaluate o, assuming that p = {14. {b} Evaluate 18 for the alternative p = [13