Show that y = x² ln x is a solution to to xy' = 2y + x², y(1) = 0.

High to centimeters and weight in kilograms are measured for 100 randomly selected adult males and range from the height of 131 to 189 cm and weights of 37 to 150 kg. let the predictor variable X be the first variable given. the 100 paired measurements yield X bar is equal to 167.31 cm, y bar is equal to 81.42 kg.  R is equal to 0.335. P value equal to 0.001 and predicted y = -103+1.08x. find the best predictive value of predicted why wait given an adult male who is 150 cm tall use a 0.01 significance level.

The best predicted vLue of y when x =8

The scatter plot shows the time spent watching TV, x, and the time spent doing homework, y, by each of 23 students last week. (a) Write an approximate equation of the line of best fit for the data. It doesn't have to be the exact line of best fit. (b) Using your equation from part (a), predict the time spent doing homework for a student who spends 15 hours watching TV. Note that you can use the graphing tools to help you approximate the line. Time spent doing homework (in hours) 32 28 24 20 16+ 12 8 4 0 y XX 4 X X X X X X X X 8 12 X X 16 X X X X -X X 20 24 Time spent watching TV (in hours) X X X 28 32 X X Ś (a) Write an approximate equation of the line of best fit. y = 0 (b) Using your equation from part (a), predict the time spent doing homework for a student who spends 15 hours watching TV. hours X S

The scatter plot shows the time spent watching TV, x, and the time spent doing homework, y, by each of 23 students last week. (a) Write an approximate equation of the line of best fit for the data. It doesn't have to be the exact line of best fit. (b) Using your equation from part (a), predict the time spent doing homework for a student who spends 15 hours watching TV. Note that you can use the graphing tools to help you approximate the line. Time spent doing homework Kin hours) 32- 28- Y 244 20- 124 F 44 B * K 12 x 14 20 24 26 Time spent watching TV (in hours) 32 X (a) Write an approximate equation of the line of best fit. = 0 (b) Using your equation from part (a), predict the time spent doing homework for a student who spends 15 hours watching TV. hours

Experimenters wants to assess the association between X and Y, the scatter plot of X and Y showed a quadratic pattern. After applying the appropriate regression model, experimenters want to produce a prediciton interval for X = 20. Using StatCrunch with 95% confiendence, the result interval is 223 to 267. Provide the most appropriate interpretation of this interval.

The desired distance for Flextronchip customers is 0.4 mm between two adjacent pins. Any deviation from this value causes interference. The process of handling complaints costs the firm at approximately $30.00 per chip. The engineers of the firm expect the average customer will be likely to complain when the distance is off target by at least 0.0002 mm. At the factory, the adjustment can be made at a cost of $1.40, which includes the labor to make the adjustment and additional testing. Required: 1. What is the value of k, the cost coefficient, in the Taguchi quality loss function (QLF) based on the above data? 2. Based on a Taguchi quality loss function (QLF), what should the tolerance be before an adjustment is made at the factory? 3. Based on your answer to (requirement 2) above, what are the specification limits (upper and lower) for the production of the product in question? Complete this question by entering your answers in the tabs below. Required 2 Required 3 What is the value…

Find the number of units x that produces the minimum average cost per unit C in the given equation. C = 0.02x³ + 52x² + 1305 X = units