The table below lists the average hand span, h centimeters, and typing speed, T words per minute, of seven people.  Hand span (h) 20 22 21 19 24 21 16 Typing Speed (T) 40 40 34 37 53 41 32 The relationship between the variables can be modeled by the regression equation T=ah+b a) i) find the value of A and find the value of B   ii) Find the Pearson’s product-moment correlation coefficient, r b) interpret, in context, the value of r found in part (a)(ii).   A particular person is found to have a hand span of 21.5 cm. c) Use the result from part (a)(i) to estimate their typing speed.

Research was conducted on the amount of training for 5K and the time a contestant took to run the race. The researcher recorded the number of miles during training ( a 1 month period) and the time to complete the 5K. The results are below. Miles Trained 45 77 37 25 60 64 Time (Minutes) 32.9 28 36.2 27.5 19.5 18.3 a) Give the correlation coefficient. r = b) Give the equation of the regression line. Round the values to 4 deimal places.This is in the form y = ax + b, so the slope goes in the first box and the y-inercept in the 2nd box.y = x + c) Interpret the y-intercept (Explain it's meaning, do not just give its value.)d) Predict the time in the 5K if someone trained 37 miles.Use the rounded values entered for the slope and intercept of the regression line to compute the predicted y-value.y = e) Give the residual for 37 miles trained.This is the actual y value for the runner who trained for miles minus the predicted value.Residual=

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The age and prices of 11 Nissan cars given in the following data:   Age (in years) 5 4 6 5 5 5 6 6 2 7 7 Price (in $100s) 85 103 70 82 89 98 66 95 169 70 48   a. Obtain the correlation coefficient between the age and price of the cars. Interpret the value of the correlation coefficient. b. Obtain a regression equation of Price (dependent variable) on Age (Independent variable). c. What will be the Price of the car after 3 years? d. Find the coefficient of determination. Determine the percent of variation that is explained by the regression equation clearly.

The following table contains data regarding golf scores and the average lengths of drives (in yards) for a sample of five golfers. Golf Scores and Average Drive Lengths Golf Scores, x 75 73 75 73 72 Length of Drive (in Yards), y 217 256 238 254 255 Copy Data Step 1 of 2: Calculate the sum of squared errors, SSE, based on a regression analysis of the golf data. Round your answer to two decimal places, if necessary. Answer 画 Tables в Кеурad Keyboard Shortcuts SSE =

The systolic blood pressure of individuals is thought to be related to both age and weight. For a random sample of 11 men, the following data were obtained. Systolic Blood pressuex1 Age (years)x2 Weight (pounds)x3 132 52 173 143 59 184 153 67 194 162 73 211 154 64 196 168 74 220 137 54 188 149 61 188 159 65 207 128 46 167 166 72 217   a) Look at the coefficients of the regression equation. Write out the regression equation. (Use 3 decimal places.) x1 = _____ + _____ x2 + ____x3   b) If age were held fixed, but a person put on 10 pounds, what would you expect for the corresponding change in systolic blood pressure? (Use 2 decimal places.)c) If a person kept the same weight but got 10 years older, what would you expect for the corresponding change in systolic blood pressure? (Use 2 decimal places.)

Amount of fertilizer (x) in pounds for each plot: 12, 5, 15, 17, 20, 14: Bushels of tomatoes harvested (y) 24 22 31 33 21 28: Round all values to three decimal places. a) Find the equation of the regression line (line of best fit). b) Calculate the correlation coefficient (r).  c) Determine if there is a significant linear correlation. d) If the linear relation is significant, predict how many bushels of tomatoes would be harvested if 22 pounds of fertilizer was used.

The following table shows students’ number of absences, x, and the student’s final grade,, y.# of absences x         6     2   15     9   12    5       8        Final grade  y           82   86   43   74   58   90   78a)  Calculate r, the correlation coefficient    ________________b)   Find the equation of the regression line  __________________________________c)  If a student is absent 4 times,, what grade does your regression line predict?__________________

Listed below are paired data consisting of movie budget amounts and the amounts that the movies grossed. Find the regression​ equation, letting the budget be the predictor​ (x) variable. Find the best predicted amount that a movie will gross if its budget is ​$100100 million. Use a significance level of alpha equals 0.05α=0.05. Budget left parenthesis $ right parenthesisBudget ($)in Millionsin Millions 4242 2525 117117 6565 7575 4747 123123 6969 33 5959 122122 2020 1010 145145 1111   Gross left parenthesis $ right parenthesisGross ($) in Millionsin Millions 123123 2020 111111 6868 127127 110110 101101 103103 5050 113113 213213 2626 1717 285285 5555   LOADING... Click the icon to view the critical values of the Pearson correlation coefficient r.       Question content area bottom Part 1 The regression equation is ModifyingAbove y with caretyequals=enter your response hereplus+enter your response…