A mathematics teacher recorded the length of time, y minutes, taken to travel to school when leaving home x minutes after 7 am on seven selected mornings as follows. 10 20 30 40 50 60 y 16 27 28 39 39 48 51 a) Findn and calculate the values of Σ x Σν, Σεν, Σχ, Σν?, (Σx)',Σ χ)* b) Compute the value of the correlation coefficient, r. c) Explain the relationship between the variables according to your answer in b). d) Find the values of a and b in the equation of the least square regression line and write the corresponding equation. e) Based on your answer in c), find y' when x is 55.

The data show the time intervals after an eruption​ (to the next​ eruption) of a certain geyser.   x​ (Height in​ ft.) 136 113 148 118 145 117 112 141 y​ (Interval after in​ min.) 91 85 95 88 89 85 87 90 a. Find the value of the linear correlation​ coefficient:   r​ = nothing   ​(Round to three decimal places as​ needed.)   b. Find the critical value for determining if there is a linear relationship in the population of all eruptions​ (use alpha equals 0.05 ​):   Critical value​ = nothing   ​(Round to three decimal places as​ needed.)   c. Is there a linear correlation between height and interval in the population of all​ eruptions?     A. No   B. Yes   d. What is the regression equation that gives the interval in terms of the​ height?   yequals nothingplusnothing x ​ (Round to three decimal places as​ needed.)   e. Find the best predicted time of the interval after an eruption given that the current eruption has a height of…

Which of the following choices could be the Pearson correlation between the x and y variables shown in the scatter plot shown here?   a) .934 b) -.934 c) 1 d) 0

Match each correlation value with its interpretation A. large (strong) negative relationship B. small (weak) positive relationship C. large (strong) positive relationship select 1.r -0.8 select 2.r 0.1 select 3. r = 0.7 7,821 MAR 20 F3 F2 D00 F4 F5 F6 F7 $ % & 4 6 LA 00 %#3