01) Distribution Table (139 10) Can too much screen time affect our weight? A researcher, studying the relationship betw

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01) Distribution Table (139 10) Can too much screen time affect our weight? A researcher, studying the relationship between mean screen time (time spent watching television or using any electronic devices at home, work or school) and weight loss per week (gram), collected the following data from a sample of 8 overweight weightwatchers club members Screen Time in minutes/week (x) Weight Loss/weck (x) 500 830 2,000 270 1,200 340 1,700 290 800 620 1,500 380 2,300 130 1,000 470 To save computational time, you may use the following sums, sums of squares and sum of cross-products for subsequent nalaulation
1,500 380 2.300 1.30 1,000 430 To save computational time, you may use the following sms, sums of squares and sum of cross-products for sent calculations: Ex-11,000 Sy-3.330 55x2,635,000 8Syy-341,087.1 87,750 a. In the least square line ya + bx for predicting the Weight Loss/week (y) as a function of Screen Time/week (x), which of the following is the correct value of b (slope)? Ⓒ -0.34 Ⓒ 0.44 O 0.34 O 0,44 b. In the least square line = a + bx, which of the following is the correct value of aty-intercepty? O863.75 883.75 -883.75 933.75 c. With the exact values of a and b selected in part (a) and (b) above, use the least square regression line = a + bx to predict "Weight Loss/week" if the "Screen Time/week" is 900.
O MATE Ⓒ3.75 883.79 Ⓒ933.78 e. With the exact values of a and b selected in part (a) and (b) above, use the least square regression line 9-a + predict "Weight Loss/week" if the "Screen Time/week" is 900. (Note: Enter the numerical value without the unit of measurement rounded to 2 decimal places of accuracy.) Number d. Compute the linear correlation coefficient (r) between "Weight Loss/week () and Screen Time/week (x). (Note: Enter the numerical value rounded to 4 decimal places of accuracy.) Number e. Approximately what percent of the variation in 'Weight Loss/week' is explained by its linear relationship with Screen Time/week"? (Note: Enter the nearest whole number percentage value without the percent sign.) Number % f. Test at a = 0.1 level of significance whether the correlation coefficient p is negative. Complete the table below, round Critical Value, and Test Statistic Value to three decimals.
d. Compute the linear correlation coefficient (r) berwen "Weight Lowwek (y and Screen Time/week ( (Note: Enter the numerical value rounded to 4 decimal places of aces Number e. Approximately what percent of the variation in "Weight Loss/week' is explained by its linear relationship with Screen Time/week? (Note: Enter the nearest whole number percentage value without the percent sign.) Number f. Test at a = 0.1 level of significance whether the correlation coefficient p is negative. Complete the table below, round Critical Value, and Test Statistic Value to three decimals. Hypotheses B: 0, H:p<0 Critical Value of t Number Test Statistic Value Number Reject HO? Enter 1 if you reject, enter 2 otherwise.)